8.1 Fluid Statics

• What is the primary focus of fluid statics?

  Fluids at rest
• Fluid pressure is the force exerted per unit area
• Match the principle with its description:

  Pascal's Principle ↔️ Pressure transmitted uniformly

  Archimedes' Principle ↔️ Buoyancy and displacement

  Hydrostatic Pressure ↔️ Pressure due to fluid depth
• What does Pascal's Principle state?

  Pressure is transmitted uniformly
• What is hydrostatic pressure caused by?

  Weight of fluid column
• What does Archimedes' Principle state?

  Buoyant force equals displaced fluid weight
• The formula for buoyant force is F_{b} = \rho V g
• What is buoyancy caused by?

  Pressure difference in fluid
• Archimedes' Principle states that the buoyant force on an object is equal to the weight of the fluid displaced
• The formula for buoyant force is $F_{b} =$$\rho V g$


  True
• What does Archimedes' Principle describe?

  Buoyant force
• What does $F_{b}$ stand for in the formula for buoyant force?


  Buoyant force
• Buoyancy and weight are the same property.

  False
• Match the property with its description:

  Pressure ↔️ Force per unit area

  Density ↔️ Mass per unit volume
• In fluids at rest, pressure is constant at a given depth
• Hydraulic lifts use Pascal's Principle to multiply force
• What causes hydrostatic pressure?

  Weight of fluid column
• Hydraulic fluid in hydraulic brakes transmits pressure evenly
• In the hydrostatic pressure formula, 'h' represents the depth or height of the fluid column
• Match the property with its description in fluid statics:

  Hydrostatic Pressure ↔️ Depends on fluid density and depth

  Atmospheric Pressure ↔️ Constant at a given location
• What principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object?

  Archimedes' Principle
• What are the three types of equilibrium in fluid statics?

  Stable, unstable, neutral
• Stable equilibrium occurs when the center of gravity is below the center of buoyancy
• Neutral equilibrium occurs when the center of gravity and buoyancy coincide.


  True
• Dams rely on the principle that hydrostatic pressure increases linearly with depth
• Buoyancy is essential for stabilizing marine vessels.


  True
• Blood pressure is measured using an instrument called a sphygmomanometer
• Pascal's Principle states that pressure in a closed fluid is transmitted uniformly.


  True
• What is hydrostatic pressure?

  Pressure due to depth
• What is the formula for calculating fluid density?

  $\rho =$$\frac{m}{V}$
• In solids, pressure depends on the weight of the object.

  True
• In fluids, pressure at a given depth is constant
• What is a primary application of Pascal's Principle?

  Hydraulic lifts
• Order the components of a hydraulic brake system:

  1️⃣ Brake pedal

  2️⃣ Hydraulic fluid

  3️⃣ Brake pads
• How does hydraulic fluid in brakes transmit pressure?

  Uniformly
• The formula for Pascal's Principle is \Delta P_{\in} = \Delta P_{out}
• Hydraulic lifts use Pascal's Principle to multiply force.


  True
• How do hydraulic brakes use Pascal's Principle?

  Transmit pressure evenly
• In fluids, pressure depends on force per unit area.
• Pressure transmission in fluids is isotropic.


  True