Fluid Mechanics Overview
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Questions and Answers

What is fluid statics primarily concerned with?

  • The study of fluids at rest or in equilibrium (correct)
  • The properties of gases only
  • The interaction of solids with fluids
  • The behavior of fluids in motion
  • Which of the following correctly defines density?

  • The weight of an object divided by its volume
  • The volume of an object divided by its mass
  • The mass of an object multiplied by its volume
  • The mass of a substance divided by its volume (correct)
  • If two objects are made of the same material, what can be said about their densities?

  • They will have different densities
  • Density varies with the shape of the object
  • Their densities will be the same (correct)
  • Density depends only on volume
  • How is relative density also referred to?

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

    What is the formula for calculating density?

    <p>$\rho = \frac{m}{V}$ (B)</p> Signup and view all the answers

    What does the term fluid dynamics refer to?

    <p>Study of fluids in motion (D)</p> Signup and view all the answers

    Which of the following units is NOT applicable to describe volume?

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

    In the context of fluid mechanics, what would 'fluid' encompass?

    <p>Both gases and liquids (C)</p> Signup and view all the answers

    What is the volume of the living room based on the given dimensions?

    <p>60 m^3 (C)</p> Signup and view all the answers

    What is the density of air at 20℃ as provided in the information?

    <p>1.20 kg/m^3 (C)</p> Signup and view all the answers

    If the height of the living room is doubled, what will happen to the mass of the air?

    <p>It will double. (C)</p> Signup and view all the answers

    Which formula represents the relationship between pressure, force, and area?

    <p>P = F/A (B)</p> Signup and view all the answers

    In the context of fluid pressure, which property is true regarding the force exerted by the fluid?

    <p>It is always perpendicular to the surface. (D)</p> Signup and view all the answers

    What is the weight of the air in the living room if the density is 1.20 kg/m^3?

    <p>60 kg (D)</p> Signup and view all the answers

    What is the area of the floor in the living room?

    <p>20 m^2 (B)</p> Signup and view all the answers

    What happens to the pressure in a fluid when the area is increased while keeping the force constant?

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

    What does the fluid pressure depend on according to the provided information?

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

    How does fluid pressure behave with respect to direction?

    <p>It applies the same force in all directions (A)</p> Signup and view all the answers

    Which of the following is true about the formula for fluid pressure?

    <p>It includes the gravitational constant (B)</p> Signup and view all the answers

    What is the significance of atmospheric pressure in fluids?

    <p>It is the pressure at the surface of the fluid in an open container (C)</p> Signup and view all the answers

    In the formula $P = \rho gh$, what does the variable \rho represent?

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

    What is the atmospheric pressure in kPa?

    <p>101.3 kPa (B)</p> Signup and view all the answers

    How is total pressure calculated?

    <p>Total pressure is the sum of atmospheric pressure and gauge pressure. (B)</p> Signup and view all the answers

    Which of the following represents atmospheric pressure in torr?

    <p>760 torr (B)</p> Signup and view all the answers

    In the equation $P_{total} = P_{atm} + ρgh$, what does $ρ$ represent?

    <p>Density in kg/m³ (D)</p> Signup and view all the answers

    What implies a greater pressure underwater compared to atmospheric pressure?

    <p>Surrounding pressure is greater than the object's pressure. (A)</p> Signup and view all the answers

    What does $h$ represent in the pressure equations?

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

    What is the equivalent of atmospheric pressure in mmHg?

    <p>760 mmHg (D)</p> Signup and view all the answers

    In the formula $P_{total} = P_{atm} + P_{gauge}$, what does $P_{gauge}$ represent?

    <p>The pressure exceeding atmospheric pressure (C)</p> Signup and view all the answers

    What does the formula for relative density indicate about an object's density if its calculated value is less than 1?

    <p>The object is less dense than water (D)</p> Signup and view all the answers

    Which formula represents the volume of a cone?

    <p>V = 1/3 Bh (D)</p> Signup and view all the answers

    In the context of the provided formulas, what does the variable 'h' represent in volume calculations?

    <p>Height of the object (A)</p> Signup and view all the answers

    What is the significance of 1000 kg/m³ in the context of the relative density formula?

    <p>It is the density of water (A)</p> Signup and view all the answers

    Which formula is used to calculate the volume of a sphere?

    <p>V = 4/3 πr^3 (A)</p> Signup and view all the answers

    When calculating relative density, what does the symbol ρr represent?

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

    If the measured density of an object is greater than the density of water, what can be concluded?

    <p>The object will sink in water (C)</p> Signup and view all the answers

    In the formula for relative density, if the measured density is 500 kg/m³, what is the relative density?

    <p>0.5 (D)</p> Signup and view all the answers

    What does the variable 'B' represent in volumetric calculations?

    <p>Base area of the object (A)</p> Signup and view all the answers

    Which of the following describes the relationship between the densities of different substances?

    <p>Relative density helps compare an object’s density with water's density. (C)</p> Signup and view all the answers

    Flashcards

    Fluid

    Any substance (liquid or gas) that flows.

    Fluid Mechanics

    The study of how fluids behave.

    Fluid Statics

    The study of fluids at rest or in equilibrium.

    Fluid Dynamics

    The study of fluids in motion.

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    Density

    Mass per unit volume.

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    Density formula

    Density = Mass / Volume

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    Relative Density

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

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    Specific Gravity

    Another name for relative density.

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    Relative Density Formula

    Relative density (ρr) is the ratio of the density of a substance (ρx) to the density of water (ρw).

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    Relative Density (ρr)

    A measure of how dense a substance is compared to the density of water.

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    Density of Water (ρw)

    The density of water at a standard temperature and pressure, typically 1000 kg/m³.

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    Density of a Substance (ρx)

    The mass per unit volume of a material.

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    Volume of a Uniform Object

    Volume is calculated as length times width times height (V=Bh).

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    Volume of a Cone

    Volume is calculated as one-third of the base area multiplied by the height (V = (1/3)Bh).

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    Volume of a Sphere

    Volume is calculated as four-thirds pi times the radius cubed (V = (4/3)πr³).

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    Less Dense than Water

    An object with a relative density less than 1 floats in water.

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    Base (B)

    The area of the bottom face of a three-dimensional object (e.g., a rectangular prism).

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    Height (h)

    The perpendicular distance from the base to the top of a three-dimensional object.

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    Fluid Pressure

    The pressure exerted by a fluid (liquid or gas) on the surface of an object or container due to its weight and the force of gravity.

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    Fluid Pressure Direction

    The force exerted by a fluid is always perpendicular to the surface it acts upon.

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    Calculate Air Mass

    To calculate the mass of air in a room, you need to know the volume of the room and the density of air. The formula is: Mass = Density x Volume.

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    Calculate Pressure

    Pressure is calculated by dividing the force applied by the area over which it is applied. The formula is: P = F / A.

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    Pressure Units

    Pressure is measured in Pascals (Pa). One Pascal is equal to one Newton per square meter (N/m²).

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    Force in Pressure Formula

    The force in the pressure formula refers to the force exerted by the fluid (like air or water) on the surface.

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    Area in Pressure Formula

    The area in the pressure formula refers to the surface area on which the fluid is exerting its force.

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    Pressure and Depth

    Pressure in a fluid increases with depth, as the fluid above exerts a greater weight on the lower layers.

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    Fluid Pressure Formula

    P = ρgh, where P is pressure, ρ is density, g is acceleration due to gravity, and h is depth.

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    Pressure Direction

    Fluid pressure acts equally in all directions.

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    Atmospheric Pressure

    The pressure exerted by the weight of the air above us.

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    Pressure Independent of Shape

    The pressure at a certain depth in a fluid doesn't change based on the container's shape.

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    Total Pressure

    The sum of atmospheric pressure and gauge pressure. It's the total pressure experienced by an object.

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    Gauge Pressure

    The pressure measured relative to atmospheric pressure. It's often used in pressure gauges.

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    Pressure underwater

    Increases with depth due to the weight of the water above.

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    Pressure in space

    Decreases as you move away from Earth due to less air molecules.

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    Pressure Formula (Total)

    Total Pressure (Ptotal) = Atmospheric Pressure (Patm) + Gauge Pressure (Pgauge)

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    Pressure Formula (Depth)

    Total Pressure (Ptotal) = Atmospheric Pressure (Patm) + (Density (ρ) * Gravity (g) * Depth (h))

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    Pressure in a Fluid

    Fluid pressure increases with depth due to the weight of the fluid above it.

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    Study Notes

    Fluid Mechanics

    • Fluid: Any substance that flows, including liquids and gases.
    • Fluid Statics: Study of fluids at rest or in equilibrium.
    • Fluid Dynamics: Study of fluids in motion.
    • Fluid Mechanics: The study of fluid behavior, encompassing both static and dynamic aspects.

    Density

    • Density: The mass of a substance per unit volume. It describes how compact the molecules are.
    • Formula: Density = mass / volume
    • Units: kg/m³ or g/cm³
    • Density of a material remains the same, regardless of mass, as long as the material is the same.

    Relative Density/Specific Gravity

    • Relative Density/Specific Gravity: The ratio of the measured density of a substance to the density of water (or another reference density).
    • Formula: Relative Density = Measured Density / Water Density
    • If a substance or object has a relative density less than 1, it is less dense than water.
    • If a substance or object has a relative density greater than 1, it is denser than water.

    Pressure

    • Pressure: The force exerted per unit area.
    • Formula: Pressure = Force / Area
    • Unit: Pascal (Pa) or N/m²
    • Fluid Pressure: The pressure exerted by a fluid in all directions on the surfaces or bottom of a container.
    • Properties: Pressure exerted by fluid is always perpendicular to the surface; Fluid pressure is directly proportional to depth and density; Pressure applies same force in all directions; Pressure is independent of shape and area.
    • Atmospheric Pressure: The pressure at the surface of a fluid in an open container; Patm = 101.3 kPa = 101300 Pa.

    Hydraulic Pressure

    • Hydraulic Pressure: Force applied to a fluid by a pump or hydraulic press.
    • It follows Pascal's principle: An external pressure applied to an enclosed fluid is transmitted uniformly throughout the volume of the fluid.

    Archimedes' Principle

    • Buoyant Force: The upward force that causes objects to float, regardless of density.
    • Formula: FB = ρf g V
    • Where: FB = Buoyant Force, ρf = fluid density, g = acceleration due to gravity, and V = volume of the displaced fluid.
    • Floating Objects: When buoyant force exactly balances the weight of the object—when it floats, whether completely or partially submerged.
    • Formula: ρfVf = ρxVx (where the subscripts denote the substance).

    Heat

    • Heat: Energy that travels from high temperature to low temperature. Also known as thermal energy or internal energy.
    • Thermal Physics: Study of temperature, heat, and their relationship to matter. This includes properties of materials that change when heated or cooled.

    Temperature

    • Temperature: The degree of hotness or coldness of an object.

    Thermal Expansion

    • Linear Expansion: Increase in length of an object when heated. One dimensional.
    • Area Expansion: Increase in area of an object when heated. Two dimensional.
    • Volume Expansion: Increase in volume of an object when heated. Three dimensional.
    • All matter expands when heated because the vibration of molecules increase.

    Phase Changes

    • Phase Changes: Transitions between states of matter (solid, liquid, gas). Key transitions include melting, vaporization, condensation, freezing, sublimation, and deposition.
    • Latent Heat of Fusion: Energy needed for melting a substance or freezing a liquid, without a change in temperature.
    • Latent Heat of Vaporization: Energy needed for vaporization or condensation, without a change in temperature.

    Electric Charge and Charging Process

    • Electric Charge: A fundamental property of matter that produces and experiences electrical and magnetic effects.
    • Quantization of Charge: Electric charge can only have discrete values (that is, a multiple of the fundamental charge).
    • Conservation of Charge: Charge is always conserved in an isolated system, meaning the total charge in an isolated system remains constant.
    • Properties of Charge: Charge is quantized, charge is always associated with mass (mass can exist without charge), the charge is conserved and charge is invariant (remains constant regardless of changes in conditions).
    • Charging Process (methods of charging): Conduction, induction, and friction.

    Electric Field

    • Electric Field: The space surrounding a charged object in which a force is exerted on other electrically charged objects.
    • Direction: Positive charge-Outwards; negative charge-Inwards.
    • Magnitude Formula: E=kQ/r²
    • Multiple charges: The sum of the forces.
    • Superposition Principle: Used when more than two charges are present to find the electric field.

    Electric Potential Energy & Electric Potential

    • Electric Potential Energy: The energy a charged object possesses in an electric field, that can be converted into other forms of energy.
    • Electric Potential: The electric potential energy per unit charge at a given point in an electric field. It is a scalar quantity, meaning it does not have direction.
    • Potential Difference (Voltage Drop): The change in electric potential energy per unit charge between two points in an electric field.

    Capacitance

    • Capacitance: The ability of a capacitor to store electrical energy. It relates to the magnitude of store charge to potential difference.
    • Formula: C= Q / ∆V
    • Capacitor Types: Different capacitor types exist, including parallel plates, and variable capacitors.
    • Dielectric: An insulating (non-conducting) material inserted between two conductors of a capacitor to increase capacitance and to improve performance features.
    • Stored Energy Formula: U=(1/2)CV²

    Electric Current, Resistance, and Ohm's Law

    • Electric Current: The flow of electric charge in a circuit.
    • Conventional Current: Current flow from positive to negative in a circuit.
    • Electron Flow: Current flow from negative to positive.
    • Current Density: The current per unit cross-sectional area ( I/A ).
    • Ohms Law: The current flowing in a circuit is proportional to the applied voltage, and inversely proportional to resistance.
    • Resistance: The opposition to the flow of electric current in a circuit.
    • Resistivity: The opposition a material has to the flow of current.

    Kirchhoff's laws

    • Kirchhoff's Current Law: The sum of currents into a junction is equal to the sum currents leaving.
    • Kirchhoff's Voltage Law: The total voltage in any closed loop is zero. This means that the sum of all voltage increases in the loop is equal to the sum of all voltage decreases in the loop.
    • Kirchoffs Junction Rule: The algebraic sum of the currents in any junction or node in a circuit must be equal to zero.
    • Kirchhoff's Loop Rule: In any closed loop of a circuit, the algebraic sum of the voltage drops is equal to the algebraic sum of the voltage rises, or zero.

    Energy, Power, and EMF

    • Power The rate at which energy is used or supplied by an electrical circuit; measured in Watts.
    • Electrical Energy: Change in potential energy of charges from one point to another in a circuit.
    • Electromotive Force (EMF): Energy per unit charge coming from an electrical source (like a battery) that keeps the charge flowing and is usually proportional to the voltage at zero-current.

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    Description

    This quiz covers fundamental concepts of Fluid Mechanics, including fluid properties, fluid statics, and fluid dynamics. You will also learn about density and relative density with relevant formulas and definitions. Ideal for students looking to reinforce their understanding of fluid behavior.

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