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Questions and Answers
What causes the upward or buoyant force on a swimmer?
What causes the upward or buoyant force on a swimmer?
How does air pressure change as altitude increases?
How does air pressure change as altitude increases?
What is the primary reason for the pressure increase when diving underwater?
What is the primary reason for the pressure increase when diving underwater?
What is the formula for calculating pressure due to the weight of a fluid?
What is the formula for calculating pressure due to the weight of a fluid?
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What is the effect of depth on pressure in a fluid?
What is the effect of depth on pressure in a fluid?
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Why does atmospheric pressure vary at the Earth's surface?
Why does atmospheric pressure vary at the Earth's surface?
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Which statement is true regarding pressure in liquids versus gases?
Which statement is true regarding pressure in liquids versus gases?
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If a phonograph needle supports 1.00 g on a circle 0.200 mm radius, what is an expected pressure in N/m²?
If a phonograph needle supports 1.00 g on a circle 0.200 mm radius, what is an expected pressure in N/m²?
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What happens if the fluid depths in a U-shaped manometer are not equal?
What happens if the fluid depths in a U-shaped manometer are not equal?
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What does mercury in a barometer primarily measure?
What does mercury in a barometer primarily measure?
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What is the relationship between atmospheric pressure and negative gauge pressure?
What is the relationship between atmospheric pressure and negative gauge pressure?
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Why is a manometer suitable for measuring blood pressure?
Why is a manometer suitable for measuring blood pressure?
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What causes the sensation of heaviness when rising from water?
What causes the sensation of heaviness when rising from water?
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What is the maximum pressure called in blood pressure measurements?
What is the maximum pressure called in blood pressure measurements?
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How does atmospheric pressure typically influence the mercury in a barometer?
How does atmospheric pressure typically influence the mercury in a barometer?
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What principle explains why some objects float while others sink?
What principle explains why some objects float while others sink?
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What happens to an object in a fluid if the buoyant force is greater than the object's weight?
What happens to an object in a fluid if the buoyant force is greater than the object's weight?
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When is an object suspended in a fluid?
When is an object suspended in a fluid?
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According to Archimedes' principle, how is buoyant force determined?
According to Archimedes' principle, how is buoyant force determined?
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What determines whether an object will float or sink in a fluid?
What determines whether an object will float or sink in a fluid?
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If an object is denser than the fluid, what will occur?
If an object is denser than the fluid, what will occur?
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How does the density of a floating object compare to that of the fluid?
How does the density of a floating object compare to that of the fluid?
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What is indicated about the submerged part of a floating object?
What is indicated about the submerged part of a floating object?
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What happens to the buoyant force when an object is removed from the fluid?
What happens to the buoyant force when an object is removed from the fluid?
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What is the fraction submerged if the density of the object is equal to the density of the fluid?
What is the fraction submerged if the density of the object is equal to the density of the fluid?
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Which statement about specific gravity is correct?
Which statement about specific gravity is correct?
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When an object floats, what can be inferred about its specific gravity?
When an object floats, what can be inferred about its specific gravity?
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What principle explains that the buoyant force on an object equals the weight of the fluid displaced?
What principle explains that the buoyant force on an object equals the weight of the fluid displaced?
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What happens to an object's apparent weight when it is submerged in a fluid?
What happens to an object's apparent weight when it is submerged in a fluid?
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If an object experiences an apparent mass loss, what does this loss equal?
If an object experiences an apparent mass loss, what does this loss equal?
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What is the relationship between the fraction submerged of a floating object and its specific gravity?
What is the relationship between the fraction submerged of a floating object and its specific gravity?
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Which factor determines if an object will sink or float in water?
Which factor determines if an object will sink or float in water?
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What does the equation for density ($
ho = \frac{m}{v}$) represent?
What does the equation for density ($ ho = \frac{m}{v}$) represent?
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Which of the following statements about fluid pressure is true?
Which of the following statements about fluid pressure is true?
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If a 240-g rock displaces 89.0 cm³ of water, what is its density?
If a 240-g rock displaces 89.0 cm³ of water, what is its density?
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Which of the following reflects the SI unit of pressure?
Which of the following reflects the SI unit of pressure?
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What volume in cubic meters is occupied by 1 troy ounce of pure gold, given its density of 19.32 g/cm³?
What volume in cubic meters is occupied by 1 troy ounce of pure gold, given its density of 19.32 g/cm³?
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How is the concept of shearing forces relevant to fluids?
How is the concept of shearing forces relevant to fluids?
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What determines whether an object floats or sinks in a fluid?
What determines whether an object floats or sinks in a fluid?
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How is pressure defined mathematically?
How is pressure defined mathematically?
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Study Notes
Density
- Density is a measure of mass per unit volume.
- The formula for density is: ρ = m/v, where ρ represents density, m represents mass, and v represents volume.
- The SI unit for density is kg/m3.
- Water has a density of 1 g/cm3 or 103 kg/m3.
Pressure
- Pressure is defined as force per unit area perpendicular to the force.
- Formula for pressure: P = F/A, where P represents pressure, F represents force, and A represents area.
- The SI unit for pressure is the Pascal (Pa), where 1 Pa = 1 N/m2.
- Fluids cannot withstand shearing forces.
- Pressure inside fluids is exerted perpendicular to all surfaces.
Variation of Pressure with Depth
- Pressure increases with depth in a fluid.
- This is due to the weight of the fluid above a given point.
- The formula for pressure due to the weight of a fluid is P = hρg, where P represents pressure, h represents depth, ρ represents density, and g represents acceleration due to gravity.
- This equation holds for liquids that are nearly incompressible.
- For gases, which are compressible, the equation can be applied as long as the density changes are small over the considered depth.
- Atmospheric pressure is an example of pressure due to the weight of a fluid (air).
- There is no theoretical limit to how large gauge pressure can be.
Manometers
- Manometers are devices used to measure pressure.
- An open-tube manometer has one side open to the atmosphere.
- Mercury manometers are often used to measure arterial blood pressure.
- A gauge pressure is defined as the difference between the absolute pressure and the atmospheric pressure.
Barometers
- Barometers are devices that measure atmospheric pressure.
- They contain a nearly pure vacuum above the mercury in the tube.
- The height of the mercury column is proportional to the atmospheric pressure.
- Changes in atmospheric pressure are reflected in the rising or falling of the mercury column.
Archimedes’ Principle
- The buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object.
- This means that an object appears to weigh less when submerged.
- This apparent weight loss is equal to the weight of the fluid displaced.
- The buoyant force is always present on objects in fluids, regardless of whether they float, sink, or are suspended.
Density and Archimedes’ Principle
- The average density of an object determines whether it floats or sinks.
- Objects with an average density less than the surrounding fluid will float.
- Objects with an average density greater than the surrounding fluid will sink.
- The fraction of a floating object submerged is equal to the ratio of its density to the density of the fluid.
Specific Gravity
- Specific gravity is the ratio of the density of an object to the density of water at 4oC.
- An object with a specific gravity less than one will float.
- An object with a specific gravity greater than one will sink.
- The fraction of a floating object submerged is equal to its specific gravity.
Apparent Weight Loss
- An object submerged in a fluid experiences an apparent weight loss equal to the weight of the volume of fluid displaced.
- This is because the buoyant force acts upwards, counteracting the weight of the object.
- On balances that measure mass, the object experiences an apparent mass loss equal to the mass of the fluid displaced.
Cohesion and Adhesion
- Cohesion is the force of attraction between molecules of the same substance.
- Adhesion is the force of attraction between molecules of different substances.
- These forces play a role in phenomena like surface tension and capillary action, which influence the behavior of liquids.
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Description
Explore the fundamental concepts of density and pressure in this quiz. Understand how these physical quantities are defined, their formulas, and how pressure varies with depth in fluids. Test your knowledge on the essential principles that govern fluid mechanics.