Fluid Properties and Behavior
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Questions and Answers

Which of the following best describes the fundamental difference in behavior between a fluid and an elastic solid when subjected to shear stress?

  • A fluid undergoes recoverable deformation, while an elastic solid experiences irrecoverable flow.
  • Both fluids and elastic solids undergo irrecoverable flow, but at different rates.
  • Both fluids and elastic solids undergo recoverable deformation, but to different degrees.
  • A fluid undergoes irrecoverable flow, while an elastic solid experiences recoverable deformation. (correct)

A container is filled with a substance. The substance takes the shape of the container but maintains a definite volume. Based on this information, which phase of matter is the substance most likely in?

  • Gas
  • Plasma
  • Liquid (correct)
  • Solid

Why are gases more compressible than liquids?

  • Gas particles are farther apart than liquid particles. (correct)
  • Gas particles have a definite volume.
  • Gas particles are closer together than liquid particles.
  • Gas particles have stronger intermolecular forces than liquid particles.

Which of the following scenarios best demonstrates the concept of surface tension?

<p>A paper clip floating on the surface of water. (C)</p> Signup and view all the answers

If a fluid has a high resistance to flow, which property is it said to possess in greater quantity?

<p>High Viscosity (A)</p> Signup and view all the answers

Consider two liquids, one with strong intermolecular forces and another with weak intermolecular forces. Which liquid would you expect to have higher surface tension?

<p>The liquid with strong intermolecular forces. (D)</p> Signup and view all the answers

A fluid is subjected to increasing pressure. Which property describes how much its volume changes in response to this pressure?

<p>Compressibility (C)</p> Signup and view all the answers

Insects can walk on water due to:

<p>Water's surface tension. (C)</p> Signup and view all the answers

Which of the change/s in surface tension listed below would lead to an increased ability for small objects to float?

<p>A decrease in temperature, increasing surface tension (B)</p> Signup and view all the answers

Which of the following statements accurately describes the relationship between a fluid's volume and its compressibility?

<p>Compressibility and volume are inversely proportional, meaning as volume increases, compressibility decreases. (C)</p> Signup and view all the answers

A metal sphere with a density of $8.0 g/cm^3$ is placed in a liquid with a density of $1.2 g/cm^3$. What will happen to the metal sphere?

<p>It will sink to the bottom of the liquid. (C)</p> Signup and view all the answers

Substance A has a specific gravity of 0.8. What does this indicate about the density of substance A?

<p>It is 0.8 times denser than water. (D)</p> Signup and view all the answers

A rectangular block with dimensions 2m x 3m x 4m exerts a force of 6000 N on the ground when resting on its largest face. What pressure does it exert?

<p>500 Pa (C)</p> Signup and view all the answers

How does hydrostatic pressure change with depth in a liquid?

<p>It increases linearly with depth. (A)</p> Signup and view all the answers

If a 500 N object rests on two feet, each with an area of 0.025 $m^2$ in contact with the ground, what is the pressure exerted on the ground?

<p>10,000 Pa (D)</p> Signup and view all the answers

A ball has a mass of 500g and a diameter of 10cm. What is its density in g/cm³?

<p>0.95 g/cm³ (D)</p> Signup and view all the answers

An object weighs 3000 N and rests on a circular area. If the pressure exerted on the area is 15,000 Pa, what is the radius of the circular area in meters?

<p>0.25 m (A)</p> Signup and view all the answers

A container of water has a hydrostatic pressure of 20,000 Pa at a certain depth. If the depth is doubled, what will be the new hydrostatic pressure?

<p>40,000 Pa (C)</p> Signup and view all the answers

A block of wood floats in water with 70% of its volume submerged. What is the specific gravity of the wood?

<p>0.7 (B)</p> Signup and view all the answers

Two objects are placed in water. Object A has a density of 900 $kg/m^3$ and object B has a density of 1100 $kg/m^3$. Which statement is correct?

<p>Object A will float, and object B will sink. (C)</p> Signup and view all the answers

Which of the following fluids is classified as a Newtonian fluid?

<p>Cerebrospinal fluid (C)</p> Signup and view all the answers

If the cross-sectional area of a pipe decreases, what happens to the velocity of the fluid, assuming the volume flow rate remains constant?

<p>The velocity increases. (D)</p> Signup and view all the answers

A pipe's diameter narrows from 10 cm to 6 cm. If the initial velocity is 9 cm/s, what is the new velocity?

<p>25 cm/s (D)</p> Signup and view all the answers

What is the relationship between fluid pressure and flow velocity in a constricted section of a pipe, according to Bernoulli's principle?

<p>Pressure decreases as velocity increases. (B)</p> Signup and view all the answers

Water flows through a pipe with a diameter of 20 mm at a velocity of 5 m/s, then enters a pipe with a diameter of 10 mm. Assuming the velocity does not remain constant, what is the new velocity in the 10 mm pipe?

<p>20 m/s (C)</p> Signup and view all the answers

Oil flows through a series of pipes with diameters of 8 inches, 6 inches, 4 inches, and 3 inches, respectively. The initial velocity in the 8-inch pipe is 12 ft/s. What is the velocity in the 3-inch pipe?

<p>85.3 ft/s (A)</p> Signup and view all the answers

Blood flows through the aorta (radius 1.1 cm, velocity 40 cm/s) into capillaries (radius $6 \times 10^{-4}$ cm, velocity 0.07 cm/s). Approximating blood as an incompressible fluid, estimate the number of capillaries.

<p>$1.9 \times 10^7$ (A)</p> Signup and view all the answers

A fluid with a density of 1000 kg/m³ flows through a horizontal pipe. At one point, the diameter is 0.2 m and the velocity is 5 m/s. If the diameter decreases to 0.1 m at another point, what is the velocity at this point?

<p>20 m/s (C)</p> Signup and view all the answers

Which of the following scenarios best demonstrates the application of the continuity equation?

<p>Analyzing the change in fluid velocity as it flows through a pipe with varying diameter. (D)</p> Signup and view all the answers

Considering the relationship between blood vessel diameter and blood velocity, what adaptation would you expect in a region of the circulatory system with significantly increased cross-sectional area?

<p>Decreased blood velocity to maintain constant flow rate. (D)</p> Signup and view all the answers

A container holds water with varying shapes. According to Pascal's Principle, in which container is the pressure greatest?

<p>The pressure is the same at corresponding depths in all containers. (D)</p> Signup and view all the answers

What is the key difference between ideal and real fluids in the context of hydrodynamics?

<p>Ideal fluids are incompressible, while real fluids are compressible. (D)</p> Signup and view all the answers

If a different fluid with a density greater than olive oil is used, how would the buoyant force on the same copper piece change?

<p>The buoyant force would increase. (D)</p> Signup and view all the answers

An object is submerged in water. If the buoyant force acting on it is less than its weight, what will happen?

<p>The object will sink. (A)</p> Signup and view all the answers

What happens to the density of air as altitude increases, and how is this fact represented in the provided equation for atmospheric pressure?

<p>Density decreases; the equation includes a negative exponent for height. (A)</p> Signup and view all the answers

What is the relationship between buoyant force and weight when an object is floating and stationary according to the principle of floatation?

<p>Buoyant force is equal to weight. (C)</p> Signup and view all the answers

A submarine changes its depth in the water. How does this change affect the pressure it experiences?

<p>Pressure increases as depth increases. (B)</p> Signup and view all the answers

Consider two objects of the same volume, one made of aluminum and one made of lead, fully submerged in water. Which experiences a greater buoyant force?

<p>Both objects experience the same buoyant force. (D)</p> Signup and view all the answers

A hydraulic lift uses Pascal's Principle to lift heavy objects. If the area of the input piston is significantly smaller than the area of the output piston, what is the effect on the force required to lift the object?

<p>The force required is significantly less than the weight of the object. (C)</p> Signup and view all the answers

An ice cube is floating in a glass of water. What percentage of the ice cube's volume is submerged in water, given that ice has a density of 900 kg/m³ and water has a density of 1000 kg/m³?

<p>90% (B)</p> Signup and view all the answers

How does the particle arrangement in a liquid differ from that in a gas and a solid?

<p>Liquid particles are neither too close nor too far from each other. (C)</p> Signup and view all the answers

Which of the following materials can be categorized as a fluid?

<p>Air inside a balloon. (B)</p> Signup and view all the answers

Consider two fluids: Fluid A with high viscosity and Fluid B with low viscosity. Which of the following statements is most likely true?

<p>Fluid A will resist flow and deform slowly under stress, while Fluid B will flow easily. (D)</p> Signup and view all the answers

How does increasing pressure generally affect the volume of a fluid, and what property describes this effect?

<p>It decreases the volume; this is described by compressibility. (A)</p> Signup and view all the answers

What intermolecular forces are primarily responsible for the phenomenon of surface tension in liquids?

<p>Van der Waals forces (A)</p> Signup and view all the answers

Which scenario demonstrates a direct application of surface tension?

<p>Insects walking on water. (A)</p> Signup and view all the answers

How does the shape of a liquid differ when it's in a container compared to when it's in a free-falling state in space?

<p>In a container, it takes the shape of the container; in free fall, it forms a sphere. (C)</p> Signup and view all the answers

Suppose a fluid’s volume decreases significantly under high pressure. What can be inferred about its bulk modulus?

<p>The bulk modulus is high. (D)</p> Signup and view all the answers

According to the continuity equation, what remains constant in a closed system with varying cross-sectional areas?

<p>Volume flow rate (D)</p> Signup and view all the answers

Which of the following is a characteristic of non-Newtonian fluids?

<p>Viscosity changes with the applied shear rate (D)</p> Signup and view all the answers

How does the viscosity of motor oil typically change as its temperature increases, and why?

<p>Decreases because the intermolecular forces weaken. (C)</p> Signup and view all the answers

A container is partially filled with water. A small needle is carefully placed on the surface and floats. Which combination of properties enables this?

<p>Surface tension of the water and the needle's weight (B)</p> Signup and view all the answers

If a fluid's velocity increases as it passes through a constriction in a pipe, what happens to the pressure, according to Bernoulli's principle?

<p>The pressure decreases (D)</p> Signup and view all the answers

A fluid flows through a pipe. If the diameter of the pipe is halved, by what factor does the velocity increase, assuming the volume flow rate remains constant?

<p>4 (A)</p> Signup and view all the answers

What is the primary factor driving blood flow from the heart through the aorta and into the branching network of capillaries?

<p>The pressure generated by the heart's left ventricle (B)</p> Signup and view all the answers

How is the viscosity of a Newtonian fluid affected by changes in shear rate, assuming constant temperature and pressure?

<p>Viscosity remains constant regardless of shear rate. (B)</p> Signup and view all the answers

Consider a fluid flowing through a pipe with varying diameters. At which point is the fluid pressure likely to be the highest, assuming constant elevation?

<p>At the point with the largest diameter (D)</p> Signup and view all the answers

In the circulatory system, blood flows from the aorta into a vast network of capillaries. Given that the total cross-sectional area of the capillaries is much greater than that of the aorta, what happens to the blood flow velocity?

<p>The velocity decreases significantly. (A)</p> Signup and view all the answers

According to the provided information, what is the height of a water column that exerts the same pressure as a 0.76m column of mercury?

<p>10.3 m (B)</p> Signup and view all the answers

Which of the following fluids is most likely to exhibit non-Newtonian behavior?

<p>Honey (B)</p> Signup and view all the answers

How does the principle of continuity relate to the design of medical devices such as intravenous (IV) fluid delivery systems?

<p>It allows precise calculation of flow rate based on tubing dimensions. (C)</p> Signup and view all the answers

What factors are critical in determining the pressure difference between the top of the head and the bottom of the feet of a person standing erect?

<p>Both the height of the person and the density of blood. (D)</p> Signup and view all the answers

How does the density of air generally change as altitude increases, and what consequence does this have on atmospheric pressure?

<p>Density decreases, leading to decreased atmospheric pressure. (C)</p> Signup and view all the answers

An airplane is flying at an altitude of 36,000 ft. If the atmospheric pressure at sea level is 1 atm, which of the following would best describe the atmospheric pressure at this altitude?

<p>Significantly less than 1 atm (C)</p> Signup and view all the answers

According to Pascal's Principle, how is pressure applied to an enclosed fluid transmitted?

<p>It is transmitted undiminished to every point in the fluid and to the walls of the container. (B)</p> Signup and view all the answers

In a container filled with water, with varying shapes, where is the pressure greatest?

<p>The pressure is the same throughout the container. (C)</p> Signup and view all the answers

A piece of copper is fully submerged in olive oil. Which of the following factors is/are needed calculate the buoyant force exerted on the copper?

<p>The density of the olive oil and the volume of the copper. (B)</p> Signup and view all the answers

An object is placed in a fluid. If the buoyant force acting on the object is equal to the object's weight, what will happen?

<p>The object will float and remain stationary. (D)</p> Signup and view all the answers

An iceberg floats in water with a density of 900 kg/m³. What percentage of the ice's volume is submerged?

<p>90% (B)</p> Signup and view all the answers

What key property distinguishes ideal fluids from real fluids in the context of hydrodynamics?

<p>Ideal fluids are incompressible, while real fluids are compressible. (B)</p> Signup and view all the answers

A substance has a density of 5.0 g/cm³. Which of the following statements is most accurate regarding its behavior in different liquids?

<p>It will float in a liquid with a density of 6.0 g/cm³ and sink in a liquid with a density of 4.0 g/cm³. (D)</p> Signup and view all the answers

If an object has a specific gravity of 1.5, how does its density compare to the density of water?

<p>Its density is 1.5 times greater than the density of water. (D)</p> Signup and view all the answers

How does hydrostatic pressure in a fluid change if both the depth and the density of the fluid are doubled?

<p>It quadruples. (B)</p> Signup and view all the answers

An object weighs 50 N in air and 30 N when fully submerged in water. What is the buoyant force acting on the object?

<p>20 N (B)</p> Signup and view all the answers

A wooden block floats in water with exactly half of its volume submerged. What is the specific gravity of the wood?

<p>0.50 (B)</p> Signup and view all the answers

A woman distributes her weight evenly across two stiletto heels while standing. If her weight is 600 N and each heel has an area of 5 $cm^2$, calculate the total pressure exerted on the ground.

<p>600,000 Pa (A)</p> Signup and view all the answers

A barometer is constructed using a liquid with a density half that of mercury. Assuming standard atmospheric pressure, how will the height of the liquid column in the barometer compare to that of a mercury barometer?

<p>The liquid column will be twice the height of the mercury column. (A)</p> Signup and view all the answers

Consider a hydraulic lift system. The input piston has an area of 0.1 $m^2$, and the output piston has an area of 1 $m^2$. If a force of 100 N is applied to the input piston, what is the force exerted by the output piston?

<p>1000 N (A)</p> Signup and view all the answers

An object is submerged in a fluid. Under what condition will the object be in a state of neutral buoyancy?

<p>When the weight of the object is equal to the buoyant force. (A)</p> Signup and view all the answers

If a mercury barometer is replaced with a water barometer, what approximate height of the water column would be required to measure standard atmospheric pressure?

<p>10.3 m (B)</p> Signup and view all the answers

What two factors are most important in determining the blood pressure difference between the top of a person's head and the bottom of their feet when standing?

<p>Height of the person and density of blood (B)</p> Signup and view all the answers

At an altitude of 5.55 km, how would you expect atmospheric pressure to compare to atmospheric pressure at sea level?

<p>Significantly lower than at sea level (B)</p> Signup and view all the answers

An airplane is flying at an altitude of 36,000 ft. How does the atmospheric pressure at this altitude compare to the atmospheric pressure at sea level?

<p>Much less than sea level pressure (D)</p> Signup and view all the answers

According to Pascal's Principle, if pressure is increased at one point in a closed container of fluid, what occurs?

<p>The increase in pressure is transmitted equally to all points in the fluid. (A)</p> Signup and view all the answers

In a container with water, which varies in shape, where would the liquid pressure be greatest?

<p>At the bottom of the container (D)</p> Signup and view all the answers

A piece of copper is fully submerged in olive oil. To calculate the buoyant force on the copper, what primary factors must be known?

<p>Volume of the copper and density of the olive oil. (D)</p> Signup and view all the answers

What will happen to an object fully submerged in a fluid if the buoyant force acting on the object is exactly equal to the object's weight?

<p>The object will remain stationary at its submerged position. (D)</p> Signup and view all the answers

An iceberg floats in water. If the density of ice is approximately 900 kg/m³, what approximate percentage of the iceberg's volume is submerged?

<p>90% (B)</p> Signup and view all the answers

In the study of hydrodynamics, what is the fundamental property that distinguishes ideal fluids from real fluids?

<p>Compressibility. (B)</p> Signup and view all the answers

Which of the following is an example of a non-Newtonian fluid?

<p>Blood (C)</p> Signup and view all the answers

According to the continuity equation, what happens to the fluid velocity if the cross-sectional area of a pipe decreases?

<p>The velocity increases. (D)</p> Signup and view all the answers

In a fluid flowing through a pipe of varying diameter, where is the fluid pressure likely to be the lowest?

<p>At a point where the diameter is decreasing. (B)</p> Signup and view all the answers

A liquid flows through a pipe with a diameter of 10 cm at a velocity of 9 cm/s. If the diameter decreases to 6 cm, what is the new velocity of the liquid?

<p>25 cm/s (A)</p> Signup and view all the answers

Water flows through a pipe with a diameter of 20 mm at a velocity of 5 m/s, then enters a pipe with a diameter of 10 mm. Assuming the velocity does not remain constant, what is the fluid velocity in the third pipe?

<p>20 m/s (A)</p> Signup and view all the answers

Oil flows through a series of pipes with the following respective diameters: 8 inches, 6 inches, 4 inches, and 3 inches. The initial velocity in the 8-inch pipe is 12 ft/s. What is the velocity in the 3-inch pipe?

<p>85.3 ft/s (A)</p> Signup and view all the answers

What factor primarily influences the classification of a fluid as either Newtonian or non-Newtonian?

<p>The fluid's response to shear rate. (B)</p> Signup and view all the answers

Which of the following best describes the volume flow rate (IV) in a closed system, assuming incompressible fluid and no leaks?

<p>It remains constant throughout the system. (D)</p> Signup and view all the answers

Which of the following scenarios demonstrates a practical application of understanding density?

<p>Designing a ship that floats with a maximum cargo load. (A)</p> Signup and view all the answers

A student measures the mass of an object to be 150g and its volume to be 75 $cm^3$. What is the density of the object, and will it float or sink in water (density of water = 1 g/$cm^3$)?

<p>2.0 g/$cm^3$, it will sink. (B)</p> Signup and view all the answers

A solid cube of aluminum and a solid cube of lead have the exact same dimensions. Which of the following statements is true regarding their specific gravities?

<p>The lead cube has a higher specific gravity because lead is denser than aluminum. (D)</p> Signup and view all the answers

An engineer is designing a submersible vehicle. Which of the following properties is most important when determining how deep the vehicle can safely descend?

<p>The compressive strength of the vehicle's hull. (A)</p> Signup and view all the answers

If the area of a lady's heel is increased by a factor of 2 without changing her weight, how will the pressure exerted on the ground change?

<p>The pressure will decrease by a factor of 2. (D)</p> Signup and view all the answers

A rectangular block of wood with dimensions 0.2m x 0.3m x 0.4m is submerged in water. What is the force exerted by the water on the largest surface of the block at a depth of 1 meter? (Assume the density of water is 1000 kg/$m^3$ and g = 9.8 m/$s^2$)

<p>1176 N (B)</p> Signup and view all the answers

Two containers are filled with different liquids: Container A with mercury (density = 13,600 kg/$m^3$) and Container B with water (density = 1,000 kg/$m^3$). If both containers have the same hydrostatic pressure at their bottom, what can be concluded about the depths of the liquids?

<p>The depth of liquid in Container B is greater than in Container A. (C)</p> Signup and view all the answers

A submarine descends to a depth where the hydrostatic pressure is 5 x $10^6$ Pa. If the density of seawater is 1025 kg/$m^3$, approximately how deep is the submarine? (Assume g = 9.8 m/$s^2$)

<p>500 meters (B)</p> Signup and view all the answers

In a clinical setting, a doctor suspects a patient has jaundice. Which physical property change, detectable without invasive procedures, might indicate elevated bilirubin levels affecting surface tension?

<p>Skin discoloration and altered urine color (B)</p> Signup and view all the answers

A tall glass tube is filled with a liquid. If the atmospheric pressure is 101,325 Pa and the density of the liquid is 800 kg/$m^3$, what is the minimum height of the liquid column required to create a barometer? (Assume g = 9.8 m/$s^2$)

<p>Approximately 13 meters (D)</p> Signup and view all the answers

Which of the following best describes the behavior of a fluid under continuous shear stress?

<p>It experiences an irrecoverable flow, continuously deforming as long as the stress is applied. (A)</p> Signup and view all the answers

How does increasing the temperature of most liquids affect their surface tension?

<p>Surface tension decreases because increased molecular motion weakens intermolecular forces. (D)</p> Signup and view all the answers

A fluid has a high bulk modulus. What does this indicate about its compressibility?

<p>It is nearly incompressible. (B)</p> Signup and view all the answers

Which of the following scenarios is the best example of a real-world application that directly depends on understanding fluid viscosity?

<p>Developing a lubricant for car engines. (D)</p> Signup and view all the answers

A small object is carefully placed on a liquid surface and floats. Which of the following properties of the liquid and object are most crucial for this phenomenon?

<p>The liquid's high surface tension and the object's inability to break the surface. (D)</p> Signup and view all the answers

Two different liquids are poured into identical containers. Liquid A has a higher density than Liquid B. How will the pressure at the bottom of the container of Liquid A compare to that of Liquid B, assuming both are filled to the same height?

<p>The pressure in Liquid A will be higher because pressure is directly proportional to density. (B)</p> Signup and view all the answers

Which of the following best describes the molecular behavior that causes surface tension?

<p>The cohesive forces between liquid molecules are stronger at the surface than in the bulk. (D)</p> Signup and view all the answers

A fluid changes volume significantly under pressure. How would you describe this fluid's compressibility relative to a fluid that barely changes volume under the same pressure increase?

<p>It has higher compressibility. (C)</p> Signup and view all the answers

Considering the role of intermolecular forces, how do they relate to a fluid's viscosity?

<p>Stronger intermolecular forces generally lead to higher viscosity due to increased resistance to flow. (A)</p> Signup and view all the answers

Which of the following real-world applications is primarily influenced by a fluid's compressibility rather than its viscosity or surface tension?

<p>The design of hydraulic braking systems in cars. (D)</p> Signup and view all the answers

Which of the following best describes the behavior of fluids under shear stress?

<p>Fluids exhibit an irrecoverable flow, continuously deforming under constant stress. (A)</p> Signup and view all the answers

How does an increase in temperature typically affect the viscosity of a liquid, and why?

<p>Decreases viscosity because higher temperatures weaken intermolecular forces. (D)</p> Signup and view all the answers

Why do droplets of water tend to form spherical shapes?

<p>Due to surface tension minimizing the surface area. (D)</p> Signup and view all the answers

How is compressibility related to the bulk modulus of a fluid?

<p>Compressibility is inversely proportional to the bulk modulus. (B)</p> Signup and view all the answers

What primarily determines a fluid's resistance to flow?

<p>Viscosity (B)</p> Signup and view all the answers

Which intermolecular forces are most directly responsible for the phenomenon of surface tension?

<p>Van der Waals forces. (D)</p> Signup and view all the answers

How does the arrangement of particles differ between liquids and gases?

<p>Particles in liquids are neither too close nor too far from each other, while gases are far apart. (D)</p> Signup and view all the answers

If a fluid has a high viscosity, how will it behave when subjected to a shear stress?

<p>It will resist flow and deform slowly. (D)</p> Signup and view all the answers

Which scenario provides a practical demonstration of surface tension?

<p>An insect walking on the surface of a pond. (C)</p> Signup and view all the answers

In a clinical test for jaundice, what property of a bodily fluid might be assessed to aid in diagnosis?

<p>Surface tension (C)</p> Signup and view all the answers

A substance has a density of 3.0 g/cm³. Which of the following substances will float in substance X?

<p>Substance with a density of 2.5 g/cm³ (B)</p> Signup and view all the answers

A ball with a mass of 50g is floating in water (density = 1 g/mL). What is the volume of water displaced by the ball?

<p>50 mL (A)</p> Signup and view all the answers

If a block of wood has a specific gravity of 0.6, what does this indicate about its density relative to water?

<p>The wood is 60% as dense as water (B)</p> Signup and view all the answers

A rectangular block with dimensions 1m x 2m x 3m exerts a force of 12000 N on the ground when resting on its largest face. What is the pressure exerted on the ground?

<p>2000 Pa (C)</p> Signup and view all the answers

How does the concept of hydrostatic pressure explain why dams are built thicker at the bottom than at the top?

<p>To withstand increased pressure due to increased depth (A)</p> Signup and view all the answers

If a 900 N person is standing equally on two feet, and each foot has an area of 0.03 $m^2$ in contact with the ground, what is the pressure exerted on the ground?

<p>15,000 Pa (A)</p> Signup and view all the answers

What would happen if a submarine exceeds its maximum safe operating depth?

<p>It could implode due to excessive hydrostatic pressure (C)</p> Signup and view all the answers

If water is used instead of mercury in a barometer to measure atmospheric pressure, approximately what minimum length of glass tube is required?

<p>10.3 meters (D)</p> Signup and view all the answers

A 500N lady puts all her weight on one stiletto heel while standing. If the area of the heel is 4 $cm^2$, what pressure does she exert on the ground?

<p>1.25 x $10^7$ Pa (A)</p> Signup and view all the answers

Which of the following fluids is classified as a non-Newtonian fluid, based on its viscosity dependence?

<p>Blood (A)</p> Signup and view all the answers

If a fluid is flowing through a pipe and the cross-sectional area of the pipe decreases, what happens to the fluid's velocity if the volume flow rate remains constant?

<p>Velocity increases (C)</p> Signup and view all the answers

A liquid flows through a pipe with a diameter of 8 cm at a velocity of 6 cm/s. If the diameter of the pipe then increases to 12 cm, what is the new velocity of the liquid, assuming the volume flow rate remains constant?

<p>2.67 cm/s (D)</p> Signup and view all the answers

Water flows through a pipe with a diameter of 40 mm at a velocity of 10 m/s. It then enters a section where the diameter changes to 20 mm. Assuming the volume flow rate must remain constant, what is the new velocity?

<p>40 m/s (A)</p> Signup and view all the answers

Oil flows through a series of pipes. The first pipe has a diameter of 10 inches and a velocity of 20 ft/s. The fourth pipe measures 2 inches in diameter. Assuming constant volume flow rate, what is the approximate velocity in the fourth pipe?

<p>500 ft/s (B)</p> Signup and view all the answers

The aorta has a radius of approximately 1 cm and carries blood at a speed of 30 cm/s. If the aorta branches into capillaries with a radius of $5 \times 10^{-4}$ cm and blood speed in the capillaries is 0.05 cm/s, estimate the number of capillaries assuming blood is an incompressible fluid.

<p>2,000,000 (D)</p> Signup and view all the answers

A fluid with a density of 1200 kg/m³ flows through a horizontal pipe. At one point, the diameter is 0.3 m and the velocity is 4 m/s. If the diameter decreases to 0.15 m at another point, what is the fluid's velocity at this point, assuming steady flow?

<p>16 m/s (B)</p> Signup and view all the answers

In a scenario where a fluid flows through a pipe that has a constriction, what principle explains the relationship between the fluid's velocity and pressure in the constricted section?

<p>Bernoulli's Principle (B)</p> Signup and view all the answers

Which scenario exemplifies the application of the continuity equation in fluid dynamics?

<p>Blood flowing from a large artery into smaller arterioles (C)</p> Signup and view all the answers

What adaptation of the circulatory system would one expect in a region where the total cross-sectional area of blood vessels increases significantly?

<p>Decreased blood velocity (C)</p> Signup and view all the answers

What is the primary reason the density of air changes with altitude?

<p>Air is compressible, and its density decreases as pressure decreases with altitude. (D)</p> Signup and view all the answers

According to Pascal's Principle, if you increase the pressure at one point in a confined fluid, what happens to the pressure throughout the fluid?

<p>The pressure increases equally at every point in the fluid. (B)</p> Signup and view all the answers

A wooden log is floating in a lake. Which of the following statements must be true regarding the buoyant force acting on it?

<p>The buoyant force is equal to the weight of the log. (A)</p> Signup and view all the answers

Consider two containers, one filled with an ideal fluid and the other with a real fluid. Which statement is true regarding their compressibility?

<p>The ideal fluid is incompressible, while the real fluid is compressible. (D)</p> Signup and view all the answers

A submarine is submerged in the ocean. If it descends to a greater depth, what happens to the pressure acting on its hull?

<p>The pressure increases due to the increased weight of the water column above. (A)</p> Signup and view all the answers

If an object floats in a fluid, what is the relationship between the submerged volume of the object, the total volume of the object, and the densities of the object and the fluid?

<p>The ratio of submerged volume to total volume equals the ratio of the object's density to the fluid's density. (C)</p> Signup and view all the answers

A hydraulic lift is used to raise a car. The input piston has a smaller area than the output piston. How does the force exerted on the output piston compare to the force applied to the input piston?

<p>The force on the output piston is larger because the pressure is the same, but the area is larger. (B)</p> Signup and view all the answers

A 2-meter tall container is filled with water. Considering the pressure difference due to hydrostatic pressure, how does the pressure at the bottom of the container compare to the pressure at the top?

<p>The pressure is significantly higher at the bottom due to the weight of the water column. (A)</p> Signup and view all the answers

A research submarine is designed to withstand a maximum pressure of $1 \times 10^8$ Pa. Approximately, what is the maximum depth, in meters, that the submarine can safely descend in seawater (density = 1025 kg/m³)?

<p>10,000 m (C)</p> Signup and view all the answers

An object is submerged in a fluid. What condition must be met in order for the object to experience positive (upward) buoyant force?

<p>The pressure at the bottom of the object must be greater than the pressure at the top of the object. (B)</p> Signup and view all the answers

Which phase of matter has a definite volume but not a definite shape?

<p>Liquid (B)</p> Signup and view all the answers

What is the study of fluids and forces acting on them called?

<p>Fluid mechanics (B)</p> Signup and view all the answers

Which of the following is a property of fluids that describes their resistance to flow?

<p>Viscosity (B)</p> Signup and view all the answers

What happens to a fluid's volume when pressure is applied?

<p>Decreases (B)</p> Signup and view all the answers

What causes surface tension in fluids?

<p>Intermolecular forces (B)</p> Signup and view all the answers

What is one real-world example of surface tension?

<p>Insects walking on water (D)</p> Signup and view all the answers

What kind of stress can a fluid NOT withstand when static?

<p>Shear stress (B)</p> Signup and view all the answers

In which phase of matter are particles farthest apart?

<p>Gas (C)</p> Signup and view all the answers

Which of the following affects the compressibility of a liquid?

<p>Volume (D)</p> Signup and view all the answers

What happens when a fluid experiences a shear stress?

<p>It flows (B)</p> Signup and view all the answers

What is density defined as?

<p>Mass per unit volume of a substance (D)</p> Signup and view all the answers

What is specific gravity also known as?

<p>Relative density (D)</p> Signup and view all the answers

What is the formula for pressure?

<p>Force / Area (D)</p> Signup and view all the answers

What is the SI unit of pressure, equivalent to one Newton per square meter?

<p>Pascal (D)</p> Signup and view all the answers

In which direction does a confined fluid exert force on the walls of its container?

<p>Perpendicular (A)</p> Signup and view all the answers

What happens to hydrostatic pressure as depth increases in a liquid?

<p>Increases (D)</p> Signup and view all the answers

What happens to an object with a density lower than water when placed in water?

<p>It floats (C)</p> Signup and view all the answers

Which of the following best describes hydrostatic pressure?

<p>Pressure exerted by a stationary fluid (C)</p> Signup and view all the answers

What is the relationship between pressure at points on the same horizontal level in a liquid?

<p>Pressure is the same at all points (B)</p> Signup and view all the answers

What needs to be known to calculate the pressure exerted by a liquid column?

<p>The depth and density of the liquid (A)</p> Signup and view all the answers

What does the continuity equation describe?

<p>The flow of a fluid through a tube with a varying cross-sectional area. (A)</p> Signup and view all the answers

In the continuity equation, what does 'A' represent?

<p>Area of the tube (A)</p> Signup and view all the answers

What happens to the velocity of a fluid if the cross-sectional area of the tube decreases, according to the continuity equation?

<p>The velocity increases. (C)</p> Signup and view all the answers

What is the relationship between area and velocirty in a closed system?

<p>Area and velocity are indirectly proportional. (D)</p> Signup and view all the answers

What is the volume flow rate (IV)?

<p>Area * velocity (B)</p> Signup and view all the answers

What happens to fluid pressure when a fluid flows through a constricted section of a pipe?

<p>Fluid pressure decreases (A)</p> Signup and view all the answers

Which of the following best describes the term 'volume flow rate'?

<p>The amount of fluid passing a point per unit time (C)</p> Signup and view all the answers

Approximately how high would a column of water need to be to exert the same pressure as a 0.76m column of mercury?

<p>10.3 m (B)</p> Signup and view all the answers

What two variables are needed to calculate the difference in blood pressure between the top of the head and the bottom of the feet of a person standing erect?

<p>Density of blood and height (C)</p> Signup and view all the answers

As altitude increases, what happens to the density of air?

<p>The density of air decreases. (A)</p> Signup and view all the answers

When an object is immersed in a fluid, what causes buoyant force?

<p>The difference in pressure between the upper and lower surfaces of the object. (B)</p> Signup and view all the answers

According to the principle of flotation, what is the relationship between buoyant force and weight for an object that is floating and stationary?

<p>Buoyant force is equal to weight. (A)</p> Signup and view all the answers

If a piece of copper is fully submerged in olive oil, what determines the buoyant force acting on it?

<p>The volume of the copper and density of the olive oil. (A)</p> Signup and view all the answers

An object is placed in a fluid. If the buoyant force is less than the weight of the object, what will happen?

<p>The object will sink. (B)</p> Signup and view all the answers

An iceberg floats in water. Given that ice has a density of 900 kg/m³ and water has a density of 1000 kg/m³, approximately what percentage of the ice's volume is submerged?

<p>90% (C)</p> Signup and view all the answers

What is the main difference between ideal and real fluids?

<p>Ideal fluids are incompressible, while real fluids are compressible. (B)</p> Signup and view all the answers

Which of the following is the best definition of a fluid?

<p>A material that deforms permanently under shear stress. (D)</p> Signup and view all the answers

What property of a fluid measures its resistance to flow?

<p>Viscosity (B)</p> Signup and view all the answers

Which property describes how much a fluid's volume changes under pressure?

<p>Compressibility (A)</p> Signup and view all the answers

Which of these is an example of surface tension?

<p>Insects walking on water (C)</p> Signup and view all the answers

Which phase of matter has particles that are far apart?

<p>Gas (B)</p> Signup and view all the answers

What happens to a fluid under static shear stess?

<p>It experiences irrecoverable flow (D)</p> Signup and view all the answers

Which of the following is a property of fluid?

<p>Surface Tension (C)</p> Signup and view all the answers

What is the definition of density?

<p>Mass per unit volume (A)</p> Signup and view all the answers

If substance A has a density of 3.0 g/cm³, which of the following substances will float in substance A?

<p>Substance B with a density of 2.5 g/cm³ (A)</p> Signup and view all the answers

Specific gravity is a measure of a substance's density in comparison to which substance?

<p>Water (D)</p> Signup and view all the answers

If the specific gravity of a certain type of plastic is 0.5, what is its density in kg/m³?

<p>500 kg/m³ (B)</p> Signup and view all the answers

What is the definition of pressure?

<p>Force per unit area (D)</p> Signup and view all the answers

What type of quantity is pressure?

<p>Scalar (D)</p> Signup and view all the answers

What is the SI unit of pressure (Pascal) equivalent to?

<p>1 N/m² (B)</p> Signup and view all the answers

Which of the following factors affects hydrostatic pressure in a liquid?

<p>Depth (A)</p> Signup and view all the answers

According to the provided information, in which direction does a confined fluid exert pressure?

<p>Perpendicular to the container walls (A)</p> Signup and view all the answers

A diver goes deeper underwater. What happens to the hydrostatic pressure they experience?

<p>It increases (A)</p> Signup and view all the answers

In fluid dynamics, what does 'A' represent in the continuity equation $A_1v_1 = A_2v_2$?

<p>Cross-sectional area of the tube (B)</p> Signup and view all the answers

What happens to the fluid velocity if the cross-sectional area of a pipe decreases, assuming the volume flow rate remains constant?

<p>The fluid velocity increases (A)</p> Signup and view all the answers

According to Bernoulli's principle, what happens to fluid pressure when a fluid flows through a constricted section of a pipe?

<p>The fluid pressure decreases (A)</p> Signup and view all the answers

What unit is used to measure volume flow rate (IV)?

<p>Area * velocity (D)</p> Signup and view all the answers

If a fluid is flowing through a pipe with constant IV, what happens to the velocity if the area is halved?

<p>Doubled (C)</p> Signup and view all the answers

What is Volume Flow Rate equal to?

<p>Area * Velocity (C)</p> Signup and view all the answers

What is the radius of the Aorta?

<p>Approximately 1.1 cm (C)</p> Signup and view all the answers

What type of flow does the Continuity Equation describe?

<p>Fluid flow through a tube with varying cross sectional area (B)</p> Signup and view all the answers

What is the approximate height of a column of water that exerts the same pressure as a 0.76 m column of mercury?

<p>10.3 m (A)</p> Signup and view all the answers

A 1.5m tall person is standing erect. If the density of blood is 1060 kg/m³, what determines the blood pressure difference between the top of their head and the bottom of their feet?

<p>Height of the person and density of blood (B)</p> Signup and view all the answers

How does the density of air change as altitude increases?

<p>Density decreases (C)</p> Signup and view all the answers

In a container filled with water, with varying shapes, where is the pressure greatest, assuming equal depth?

<p>At the bottom of the container (B)</p> Signup and view all the answers

A piece of copper is fully submerged in olive oil. What is needed to calculate the buoyant force on the copper?

<p>The volume of the copper and the density of the olive oil (D)</p> Signup and view all the answers

An object is placed in a fluid. What will happen if the buoyant force acting on the object is greater than the object's weight?

<p>The object will float and move upwards (C)</p> Signup and view all the answers

In the study of hydrodynamics, what key property distinguishes ideal fluids from real fluids?

<p>Compressibility (D)</p> Signup and view all the answers

Which phase of matter has a definite volume but takes the shape of its container?

<p>Liquid (B)</p> Signup and view all the answers

What is the key characteristic of a fluid under static shear stress?

<p>It exhibits irrecoverable flow. (A)</p> Signup and view all the answers

Which property of a fluid describes its resistance to flow?

<p>Viscosity (B)</p> Signup and view all the answers

Which of the following is an example of surface tension?

<p>Insects walking on water (A)</p> Signup and view all the answers

What determines the shape of a gas in a closed container?

<p>The shape of the container (B)</p> Signup and view all the answers

Which of the following is considered a fluid?

<p>Water (B)</p> Signup and view all the answers

Which of the following statements is true about the volume of a solid?

<p>It is definite. (D)</p> Signup and view all the answers

What happens to particles in gas compared to particles in liquid?

<p>Particles are far apart (B)</p> Signup and view all the answers

What is the relationship between the cross-sectional area and the fluid velocity in a tube, assuming a constant volume flow rate?

<p>As the area increases, the velocity decreases. (C)</p> Signup and view all the answers

Which of the following fluids has a viscosity dependent on shear rate?

<p>Blood (B)</p> Signup and view all the answers

In the context of fluid dynamics, what does 'IV rate' stand for?

<p>Volume flow rate (B)</p> Signup and view all the answers

What happens to fluid pressure when a fluid flows through a constricted section of a pipe, according to Bernoulli's principle?

<p>It decreases. (D)</p> Signup and view all the answers

Which of the following is considered a non-Newtonian fluid?

<p>Blood (A)</p> Signup and view all the answers

If the diameter of a pipe increases, what happens to the fluid's velocity if the volume flow rate remains constant?

<p>The velocity decreases. (C)</p> Signup and view all the answers

What is the approximate blood speed in a capillary, as reported in the provided text?

<p>0.07 cm/s (A)</p> Signup and view all the answers

What is $A*v$ equal to?

<p>Volume flow rate (B)</p> Signup and view all the answers

What is the standard unit used to express density?

<p>Grams per cubic centimeter (D)</p> Signup and view all the answers

In what direction do forces exerted by a confined fluid act on the container's walls?

<p>Perpendicular (B)</p> Signup and view all the answers

What happens to pressure as depth increases in a liquid?

<p>Pressure increases (D)</p> Signup and view all the answers

What is the relationship between hydrostatic pressure and depth?

<p>Directly proportional (B)</p> Signup and view all the answers

On what does hydrostatic pressure depend?

<p>The depth of the fluid. (D)</p> Signup and view all the answers

In a liquid, at what points is the pressure the same?

<p>Same level (D)</p> Signup and view all the answers

What is the effect on the barometer reading if water is used instead of mercury?

<p>The column will be much longer. (D)</p> Signup and view all the answers

Approximately what height of a water column exerts the same pressure as a 0.76 m column of mercury?

<p>10.3 m (C)</p> Signup and view all the answers

What two factors are necessary to determine the pressure difference between the top of the head and the bottom of the feet of a person standing erect?

<p>Height and blood density (C)</p> Signup and view all the answers

Which of the following describes how atmospheric pressure changes as altitude increases?

<p>Decreases exponentially (A)</p> Signup and view all the answers

What two values are needed to calculate the buoyant force on an object fully submerged in a fluid?

<p>The fluid's density and the object's volume. (C)</p> Signup and view all the answers

If the buoyant force acting on an object is less than the object's weight, what will happen when the object is placed in the fluid?

<p>The object will sink. (D)</p> Signup and view all the answers

An iceberg is floating in seawater. If the density of ice is approximately 900 kg/m³ and the density of seawater is 1000 kg/m³, approximately what percentage of the iceberg's volume is submerged?

<p>90% (A)</p> Signup and view all the answers

Which of the following best describes an ideal fluid in hydrodynamics?

<p>Incompressible (D)</p> Signup and view all the answers

What is the key difference between ideal fluids and real fluids?

<p>Real fluids have viscosity. (B)</p> Signup and view all the answers

A submarine is submerged at a depth where the absolute pressure is 4.0 x $10^6$ Pa. If atmospheric pressure is 1.0 x $10^5$ Pa, what is the gauge pressure experienced by the submarine?

<p>3.9 x $10^6$ Pa (D)</p> Signup and view all the answers

A hot air balloon is rising because the air inside the balloon is less dense than the air outside. Which principle does this best illustrate?

<p>Archimedes' Principle (A)</p> Signup and view all the answers

If a fluid's temperature increases, how does this affect its viscosity?

<p>Viscosity decreases for liquids and increases for gases. (C)</p> Signup and view all the answers

A pipe narrows from a cross-sectional area of $0.05 m^2$ to $0.02 m^2$. If the water velocity in the wider section is 2 m/s, what is the water velocity in the narrower section, assuming steady flow?

<p>5 m/s (A)</p> Signup and view all the answers

Which of the following scenarios best demonstrates Bernoulli's Principle?

<p>Airplane wing generating lift due to faster airflow on top. (B)</p> Signup and view all the answers

A small needle can float on the surface of water due to:

<p>Surface tension (C)</p> Signup and view all the answers

Assuming constant temperature, how does the viscosity of honey change as it is stirred more vigorously?

<p>Remains constant (A)</p> Signup and view all the answers

The flow rate of a fluid in a pipe is 5 $m^3$/s. If the area of the pipe is 2 $m^2$, what is the average velocity of the fluid?

<p>2.5 m/s (D)</p> Signup and view all the answers

At sea level, atmospheric pressure is approximately 101,325 Pa. What is the approximate force exerted by the atmosphere on a square meter at sea level?

<p>101,325 N (A)</p> Signup and view all the answers

A wooden block has a mass of 500g and a volume of 750 $cm^3$. What is its density, and will it float or sink in water (density = 1 g/$cm^3$)?

<p>0.67 g/$cm^3$, it will float. (C)</p> Signup and view all the answers

If a fluid at rest experiences a pressure of 10 Pa at a certain point, what will the pressure be at the same point if an additional force is applied, resulting in a pressure increase of 5 Pa at the surface?

<p>15 Pa (D)</p> Signup and view all the answers

A hydraulic lift has an input piston with an area of 0.01 $m^2$ and an output piston with an area of 0.2 $m^2$. If a force of 50 N is applied to the input piston, what is the force exerted by the output piston?

<p>1000 N (D)</p> Signup and view all the answers

Consider a scenario where a submarine descends deeper into the ocean. If the initial pressure at a depth of 10 meters is $P_1$, and the submarine then descends to a depth of 30 meters, what is the new pressure ($P_2$) in terms of $P_1$, assuming constant water density?

<p>$P_2 = P_1 + 2ρgh$ (A)</p> Signup and view all the answers

If a solid object has a specific gravity of 0.75, what does this indicate about its density relative to water?

<p>The object is 0.75 times denser than water. (C)</p> Signup and view all the answers

A cube of aluminum and a cube of iron have the same volume. Given that the density of iron is greater than the density of aluminum, which cube experiences a greater buoyant force when fully submerged in water?

<p>They experience the same buoyant force. (C)</p> Signup and view all the answers

A container is filled with a fluid. At a depth of 2 meters, the pressure is measured to be 25,000 Pa. If the atmospheric pressure is 101,325 Pa, what is the density of the fluid?

<p>Approximately 7438 kg/$m^3$ (D)</p> Signup and view all the answers

Two identical containers are filled to the same height, one with water and the other with oil. Water has a higher density than oil. Which container exerts a greater pressure on the surface it rests on?

<p>The container with water. (A)</p> Signup and view all the answers

A person is standing in a room. Considering Pascal's Principle, how is atmospheric pressure exerted on the person's body?

<p>Equally in all directions. (C)</p> Signup and view all the answers

An object weighs 100 N in air. When fully submerged in water it weighs 60 N. What is the buoyant force acting on the object?

<p>40 N (D)</p> Signup and view all the answers

In a hydraulic system, if the output piston has an area 5 times greater than the input piston, how does the output force compare to the input force?

<p>The output force is 5 times greater than the input force. (D)</p> Signup and view all the answers

Which of the following is a direct consequence of Pascal's Principle?

<p>Pressure applied to a confined fluid is transmitted equally to all points within the fluid. (B)</p> Signup and view all the answers

What is the primary reason liquids are used in hydraulic systems instead of gases?

<p>Liquids are virtually incompressible, allowing effective pressure transmission. (C)</p> Signup and view all the answers

If a hydraulic press has an input piston with an area of 0.1 $m^2$ and an output piston with an area of 2 $m^2$, what is the mechanical advantage of the system?

<p>20 (C)</p> Signup and view all the answers

In Pascal's vases experiment, why do different shaped vases filled to the same height have the same pressure at the bottom?

<p>Pressure depends only on the height of the liquid, not the shape of the container. (C)</p> Signup and view all the answers

A mechanic uses a hydraulic lift to raise a car. If the input force is 500 N and the area of the input piston is 0.02 $m^2$, and the area of the output piston is 0.4 $m^2$, what is the output force exerted on the car?

<p>10000 N (D)</p> Signup and view all the answers

According to Pascal's Principle, how does the pressure change at one location in a confined fluid affect the pressure at another location?

<p>The pressure change is transmitted undiminished to all points in the fluid. (B)</p> Signup and view all the answers

How does an increase in temperature typically affect the density of a fluid, and why?

<p>Density decreases because the volume of the fluid increases due to thermal expansion. (C)</p> Signup and view all the answers

In a hydraulic system, if the diameter of the input piston is halved while the output piston remains the same size, what happens to the mechanical advantage of the system?

<p>The mechanical advantage is quadrupled. (C)</p> Signup and view all the answers

A submarine descends deeper into the ocean. How are hydrostatic pressure and absolute pressure affected?

<p>Hydrostatic pressure and absolute pressure both increase. (C)</p> Signup and view all the answers

Which of the following best explains how a hydraulic system multiplies force?

<p>By applying a small pressure over a small area to generate a larger force over a larger area. (C)</p> Signup and view all the answers

What practical implication does Pascal's Principle have for the design of car braking systems?

<p>It ensures that the braking force is applied equally to all wheels. (B)</p> Signup and view all the answers

According to Pascal's Principle, how is pressure applied to an enclosed fluid transmitted, and what practical application results from this principle?

<p>Pressure is transmitted undiminished throughout the fluid, used in hydraulic systems. (D)</p> Signup and view all the answers

A closed container is completely filled with water. If the pressure at one point in the water is increased, what happens to the pressure at every other point in the container?

<p>The pressure increases equally at all other points. (A)</p> Signup and view all the answers

How does the density of air typically change with an increase in altitude, and what effect does this have on atmospheric pressure?

<p>Density decreases, causing atmospheric pressure to decrease. (C)</p> Signup and view all the answers

A hydraulic lift is used to raise a heavy object. The input piston has a smaller area than the output piston. Which of the following statements accurately describes the relationship between the force applied on the input piston and the force exerted by the output piston?

<p>The force on the output piston is greater than the force on the input piston. (B)</p> Signup and view all the answers

If a fluid has a specific gravity of 0.75, what does this tell us about its density compared to water?

<p>The fluid's density is 75% of water's density. (B)</p> Signup and view all the answers

A solid object is placed in a fluid. If the object's density is greater than the fluid's density, what will happen?

<p>The object will sink to the bottom of the fluid. (A)</p> Signup and view all the answers

A diver descends from the surface to a depth of 30 meters in seawater. Given that the density of seawater is approximately 1025 kg/m³ and the acceleration due to gravity is 9.8 m/s², which equation should be used to determine the hydrostatic pressure experienced by the diver?

<p>$P = ρgh$ (C)</p> Signup and view all the answers

In a scenario where gauge pressure is measured to be 200,000 Pa and the atmospheric pressure is 101,325 Pa, what would be the absolute pressure?

<p>301,325 Pa (D)</p> Signup and view all the answers

Flashcards

Fluid Mechanics

Branch of physics studying fluids and forces on them.

Fluid

Material unable to withstand static shear stress; flows instead of deforming elastically.

Phases of Matter (Shape & Volume)

Solid: Definite shape/volume. Liquid: Definite volume, takes container's shape. Gas: No definite shape/volume.

Viscosity

A fluid's resistance to deformation or flow.

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Compressibility

Fluid's volume decrease under pressure.

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Surface Tension

Tendency of a fluid to minimize its surface area.

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Cause of Surface Tension

Intermolecular forces attracting liquid particles together.

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Examples of Surface Tension

Insects walking on water, floating a needle.

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Density

A measure of how tightly packed a substance is.

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Specific gravity

Ratio of a substance's density to the density of a reference substance

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Pressure

Magnitude of force acting perpendicular to a surface divided by the area of that surface; measured in Pascals (Pa).

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Hydrostatic Pressure

The force per unit area that a confined fluid exerts on objects; acts perpendicularly to container walls.

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Pressure & Depth

Pressure increases with depth in a liquid due to the weight of the fluid above.

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Fluid Pressure Direction

The forces exerted by the fluid are perpendicular to the walls of the container.

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Pressure at Same Level

The pressure at any point is the same in all directions and is the same at all points on the same level in a liquid.

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Density of Gold

Density of gold is 20g/cm^3.

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Density of Silver

Density of silver is 10g/cm^3.

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Ice Volume vs. Water

Ice occupies more volume than liquid water because of its crystalline structure.

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Pascal's Principle

Pressure in an enclosed fluid is transmitted equally to all points and the container walls.

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Buoyant Force

An upward force exerted by a fluid that opposes the weight of an immersed object.

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Principle of Floatation

When an object floats, the buoyant force equals the object's weight.

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Submerged Volume Ratio

The ratio of submerged volume to total volume equals the ratio of object density to liquid density.

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Hydrodynamics

The study of fluids in motion.

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Ideal Fluids

Fluids with constant density and volume, regardless of pressure.

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Atmospheric Pressure

Pressure exerted by Earth's atmosphere.

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Fluid Pressure

Pressure due to the weight of a fluid.

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Atmospheric Pressure Formula

Atmospheric pressure formula.

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Real Fluids

Fluids that can compress.

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Newtonian Fluid

Viscosity is independent of shear rate (e.g., water, urine).

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Non-Newtonian Fluid

Viscosity depends on shear rate (e.g., blood, synovial fluid, mucus).

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Continuity Equation

Describes fluid flow through varying cross-sectional areas: A1v1 = A2v2.

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Volume Flow Rate (IV)

The quantity representing the volume of fluid flowing per unit time.

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Bernoulli Effect

The reduction in fluid pressure when a fluid flows through a constricted section of pipe.

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Blood Pressure

Describes the relationship between blood pressure, flow, and resistance. Pressure = Flow x Resistance

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Liquid

A state of matter with a definite volume but no fixed shape, conforming to the shape of its container.

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Gas

A state of matter with no fixed shape or volume, able to expand to fill any available space.

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Intermolecular Forces and Surface Tension

Intermolecular forces that hold liquid particles together, causing surface tension.

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Fluid Compressibility

The decrease in a fluid's volume in response to applied pressure.

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Jaundice Test

Clinical test related to surface tension.

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Pressure vs. Depth

Pressure exerted on an object immersed in a fluid increases with depth.

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Pressure Calculation

Weight / Area

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Fluid Forces

The forces exerted by the fluid are perpendicular to the walls of the container.

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Barometer Tube Length

Minimum height of a barometer tube depends on fluid density.

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Liquid Pressure

Pressure at any depth within a liquid

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Fluid Pressure Formula

Pressure due to the weight of a column of fluid.

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Standard Atmospheric Pressure

At sea level, the standard atmospheric pressure is 1.013 x 10^5 Pa or 1 atm.

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Pascal’s Principle

Pressure applied to an enclosed fluid is transmitted undiminished to every point in the fluid.

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Air density vs altitude

Density of air decrease as you increase in altitude.

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Volume Flow Rate

Volume of fluid passing a point per unit time; equals cross-sectional Area x Velocity.

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Velocity

Velocity is the rate of change of the position of the object with respect to time

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Area

Area is the amount of two-dimensional space taken up by an object

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Aorta

Artery carrying blood from the heart; branches into capillaries.

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Capillaries

Tiny blood vessels distributing blood to body organs.

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Phases of Matter

States of matter categorized by shape and volume properties.

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Fluid Flow

Fluids flow instead of deforming elastically.

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Intermolecular Forces

Intermolecular forces between fluid molecules.

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Floating

Phenomenon where objects float on liquid surfaces due to surface tension.

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Density Definition

Mass per unit volume of a substance.

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Pressure Definition

Magnitude of force acting perpendicular to a surface divided by the area of the surface.

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Hydrostatic Pressure Definition

The force per unit area that a confined fluid exerts on all parts of the container in contact with it.

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Pressure and Depth

With depth, hydrostatic pressure exerted by a liquid will increase.

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Fluid Force Direction

Forces exerted by fluid are always perpendicular.

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Sinking related to Density

If an object sinks, the object's density is greater than the density of the fluid.

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Water vs. Mercury in Barometer

When using water instead of mercury, you need a very high tube.

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Hydrostatic Pressure Acts On

Pressure the confined fluid exerts on walls of a container.

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Fluid dynamics

A fluid with a density of 1000 kg/m^3 flowing through a horizontal pipe at a velocity of 5 m/s.

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A1V1 = A2V2

Describes the flow of a fluid through a tube with varying cross-sectional area

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Pressure Equivalence

Pressure due to a column of mercury (Hg) equals the pressure due to a column of water (H2O).

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Pressure Difference Formula

Pressure difference between two points in a fluid due to height (h), density (), and gravity (g).

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Pressure vs. Altitude Formula

Pressure decreases exponentially with altitude (h). P0 is pressure at sea level.

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Pressure and Height

The pressure difference between two points in a fluid due to height. Found by P = where is density, g is gravity, and h is height.

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Altitude vs Pressure

As you increase in altitude, the atmospheric pressure decreases.

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Surface Tension Examples

Water walking insects or floating needles on water.

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Calculating Specific Gravity

Calculate the specific gravity of iron.

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Av = constant

Volume flow rate; area times velocity (A x v).

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Human Aorta

Artery carrying blood from the heart; branches into capillaries.

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Surface Tension Test

Clinical test related to surface tension.

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Calculating Pressure

Equal to Weight divided by area.

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Continuity Equation Explained

A1v1 = A2v2: Fluid speed increases in narrower sections and decreases in wider sections.

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Aorta Properties

Radius: 1.1cm, Speed: 40cm/s.

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Capillary Properties

Radius: 6 x 10^-4cm, Speed: 0.07cm/s.

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Number of Capillaries

Describes the number of capillaries in the human body by treating the blood as an incompressible fluid.

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Pressure and Fluid Flow

Fluid flows from high to low pressure with resistance to low pressure.

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Solid Properties

Solid: definite shape and volume.

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Liquid Properties

Liquid: definite volume, takes shape of container.

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Gas Properties

Gas: no definite shape or volume; expands to fill space.

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Blood Pressure Difference

Pressure difference due to the height of a fluid column above/below.

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What is a Fluid?

Any material that cannot withstand static shear stress; flows instead of deforming elastically.

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Fluid Viscosity

A fluid's resistance to deformation or flow under stress.

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Fluid Surface Tension

The tendency of a fluid to minimize its surface area, creating a 'skin'.

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Phases of Matter (Shape & Volume Key)

Solid: Definite shape and volume. Liquid: Definite volume, takes container's shape. Gas: No definite shape/volume.

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Definition of Fluid

Any material that is unable to withstand a static shear stress.

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Blood Pressure Height Difference

Difference in pressure between top of head and feet due to blood weight.

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Pressure vs. Altitude

Atmospheric pressure decreases exponentially with altitude.

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Arterial Blood pressure

Clinical measurement.

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Gauge Pressure

Difference between absolute pressure and atmospheric pressure.

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Absolute Pressure

Total pressure, including atmospheric pressure.

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Buoyancy

Upward force exerted by a fluid opposing an object's weight.

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Archimedes' Principle

Buoyant force equals the weight of the fluid displaced by the object.

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Flow Rate

Volume of fluid passing a point per unit time.

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Bernoulli's Principle

Increase in fluid speed = decrease in pressure (inversely proportional).

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Specific Gravity (SG)

Ratio of a substance's density to the density of a reference substance (usually water).

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Fluid Pressure and Depth

Pressure increases with depth in a fluid (P = P₀ + ρgh).

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Density Intensive Property

Density does not depend on the amount of substance.

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Density Units

Kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).

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Density vs. Temperature

Density typically decreases as temperature increases.

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Specific Gravity Determines...

Whether a substance will float or sink in a reference substance.

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Density (ρ)

Mass per unit volume, indicating how much 'stuff' is in a given space.

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Pressure (P)

Force exerted per unit area; how concentrated a force is.

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Relative Density (Specific Gravity)

The ratio of a substance's density to the density of a reference substance (water or air).

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Hydrostatic Pressure Formula

The formula: Pressure = Density x Gravity x Height (P = ρgh).

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Hydraulic Systems

Systems that use fluids to multiply force, based on Pascal's Principle.

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Hydraulic Advantage

Output piston area divided by input piston area.

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Pascal's Principle uses

Car lifts, hydraulic presses, heavy machinery.

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Pascal's Vases

Pressure is uniform at equal depths, regardless of shape.

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Force Amplification

Heavy lifting with smaller effort in hydraulics.

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Hydraulic Ratio

The relationship of force to area within the system.

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Hydraulic Transmission

How pressure transfers in enclosed incompressible fluids.

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Area's Role in Hydraulics

Area impacts force; small area yields significant force.

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Study Notes

  • Fluids cannot withstand static shear stress.
  • Fluids respond to shear stress with an irrecoverable flow.
  • Gases and liquids are examples of fluids.
  • Fluid properties include viscosity, compressibility, surface tension, pressure, specific gravity, and density.

Viscosity

  • Viscosity is a fluid’s resistance to deformation or flow.
  • Fluids with high viscosity resist flow and deform slowly.
  • Water has low viscosity
  • Olive Oil has medium viscosity
  • Honey has high viscosity

Compressibility

  • Compressibility is when a fluid's volume decreases when pressure is applied
  • The compressibility of a liquid is inversely related to its volume modulus of elasticity, also known as bulk modulus.

Surface Tension

  • Surface tension is the tendency of a fluid at rest to shrink into the minimum surface area possible.
  • Surface tension allows objects to float on the surface without submerging in the liquid.
  • Intermolecular forces, such as Van der Waals force, draw the liquid particles together.
  • Surface tension enables insects to walk on water.
  • Surface tension enables needles to float.
  • Surface tension is used in clinical tests for jaundice.
  • Surface tension is a factor in respiration.
  • Hydrogen surface tension is 2.4 N/m
  • Helium surface tension 0.16 N/m
  • Water tension is 0.072 N/m
  • Ethanol surface tension is 22.0 N/m
  • Sodium Chloride tension is 114 N/m

Phases of Matter

Solid

  • Has a definite shape.
  • Has a definite volume.
  • Particles are very close.
  • Has any number of surfaces

Liquid

  • Does not have a definite shape unless it takes the shape of a container.
  • Has a definite volume.
  • Particles are neither too close nor too far from each other.
  • Has one surface.

Gas

  • Does not have a definite shape unless it takes the shape of a container.
  • Has no definite volume; it can expand or compress.
  • Particles are far apart.
  • Has no surfaces.

Density and Buoyancy Sample Question

  • If a substance has a density of 2.0g/cm^3, substances with higher densities will sink in it
  • Example: Gold with a density of 20g/cm^3 will sink
  • Example: Silver with a density of 10g/cm^3 will sink
  • Example: A substance with a density of 0.2g/cm^3 will float

Specific Gravity

  • Specific gravity is also known as relative density.
  • Specific gravity measures the density of a substance in comparison to the density of water.
  • The formula for Relative Density is mass of any volume of substance/mass of an equal volume of water
  • Relative Density of Steel is 7.8
  • Relative Density of Wood is 0.5

Pressure

  • Pressure is the magnitude of force acting perpendicular to a surface divided by the area of the surface.
  • Pressure is a scalar quantity.
  • The formula for pressure is Force/Area.
  • 1 atmosphere (atm) is equal to 1.00 atm (exact)
  • 1 atmosphere (atm) is equal to 760 mmHg (millimeters of mercury).
  • 1 atmosphere (atm) is equal to 760 torr.
  • 1 atmosphere (atm) is equal to 29.9 in. Hg (inches of mercury).
  • 1 atmosphere (atm) is equal to 14.7 lb/in.2 (pounds per square inch (psi)).
  • 1 atmosphere (atm) is equal to 101,325 Pa (Pascals).
  • High heeled shoes exert higher pressure on the ground because the weight is spread over a smaller area.
  • Flat shoes exert lower pressure on the ground because the weight is spread over a larger area.

Hydrostatic Pressure

  • Hydrostatic pressure is the force per unit area that a confined fluid exerts on all parts of the container in contact with it or on any object immersed in the fluid.
  • Forces exerted by the fluid are perpendicular to the walls of the container.
  • Pressure at any point is the same in all directions and is the same at all points on the same level in a container.
  • Hydrostatic pressure increases with depth.
  • Earth's atmosphere exerts pressure over the entire surface.
  • Atmospheric pressure at sea level is equal to 1.013 or 1 atmosphere (atm).
  • Air is not impressible and therefore its density is not constant.
  • Air density decreases with altitude.
  • Formula for Air density decrease with altitude P=Poe-0.125h

Pascal's Principle

  • Pressure applied to an enclosed fluid is transmitted undiminished to every point in the fluid and to the walls of the container.

Archimedes Principle and Buoyancy

  • An object immersed in water or in any fluid experiences a higher pressure on the lower surface than on the upper surface.
  • Buoyant force is this difference in pressure, leading to an upward force acting on the object due to fluid pressure.
  • Upward buoyant force = Weight of the water displaced

Principle Floatation

  • If Buoyant force = weight the object floats and is stationary
  • If Buoyant force > weight the object moves up
  • If Buoyant force < weight the object sinks
  • The formula for determining whether an object will float is Submerged volume/Total volume = Density of object/Density of liquid

Hydrodynamics

  • Hydrodynamics is the study of fluids in motion.
  • Ideal fluids are incompressible, so neither density nor volume changes with pressure.
  • Real fluids are very much compressible
  • Newtonian fluid is a fluid with an independent viscosity to the shear rate, e.g. blood, synovial fluid, mucus
  • Laminar flow is streamline flow
  • Turbulent flow is not streamline
  • Turbulent is a higher pressure difference than Laminar

Continuity Equation

  • Describes the flow of a fluid through a tube with varying cross-sectional area.
  • A₁V₁ = A2V2, where A is the cross-sectional area of the tube and v is the velocity of the fluid.
  • Av is the volume flow rate, which remains constant.
  • Velocity is proportional to area.
  • The Bernoulli Equation states Energy per unit volume before = Energy per unit volume after.
  • P + 1/2ρv² + pgh₁=P2 + 1/2ρv2² + pgh₂, where P=Pressure Kinetic Energy per unit volume
  • Potential Energy per unit volume.
  • The Bernoulli Equation shows the reduction in fluid pressure that results when a fluid flows through a constricted section of pipe

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Explore the key properties and behavior of fluids, including shear stress response, phase identification based on volume and shape, compressibility, surface tension, and viscosity. Investigate intermolecular forces and their impact on fluid characteristics.

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