Pascal's Law & Pressure Measurement

What does Pascal's Principle state about pressure applied to a confined fluid?

• Pressure applied to a confined fluid is transmitted equally in all directions.

• Pressure is only transmitted to the surface of the fluid.

• Pressure in a confined fluid decreases with depth.

• Pressure varies depending on the shape of the container.

A hydraulic press has a small piston of area 0.01 m² and a large piston of area 0.5 m². If a force of 200 N is applied to the small piston, what is the force exerted by the large piston?

• 10000 N

• 5000 N

• 2500 N

• 2000 N

Which of the following is a real-world application of Pascal's Principle? A) Thermometer B) Hydraulic brakes C) Barometer D) Anemometer

• E) Hydraulic lift

• G) Pressure cooker

• B) Hydraulic brakes

• F) Pneumatic press

How does a hydraulic lift use Pascal's Principle to multiply force?

• A hydraulic lift uses Pascal's Principle to multiply force by transmitting pressure from a small piston to a larger piston, resulting in a greater force output.

• A hydraulic lift operates by creating a vacuum that pulls the larger piston upward.

• A hydraulic lift uses gravity to lift heavy objects without any pressure change.

• A hydraulic lift relies on mechanical levers to amplify force without fluid movement.

What is the SI unit of pressure, and how is it defined in terms of base units?

• Pascal (Pa), defined as kg/(m·s²)

• Torr (Torr), defined as mmHg/s²

• Atmosphere (atm), defined as kg/(m·s)

• Bar (bar), defined as N/m²

A fluid is at rest in a container. How does pressure vary with depth in the fluid, and what is the formula used to calculate it?

• Pressure remains constant regardless of depth, calculated by P = ρgh.

• Pressure decreases with depth, calculated by P = P0 - ρgh.

• Pressure increases linearly with depth in a fluid, calculated by P = P0 + ρgh.

• Pressure varies exponentially with depth, calculated by P = P0 * e^(ρgh).

What is the difference between gauge pressure and absolute pressure? Provide the formula relating the two.

• Absolute Pressure = Atmospheric Pressure - Gauge Pressure

• Gauge Pressure = Absolute Pressure + Atmospheric Pressure

• Absolute Pressure = Gauge Pressure - Atmospheric Pressure

• Absolute Pressure = Gauge Pressure + Atmospheric Pressure

A diver is 20 meters below the surface of the ocean. If the density of seawater is 1025 kg/m³ and atmospheric pressure is 101,325 Pa, what is the absolute pressure experienced by the diver? (g = 9.8 m/s²)

• 315000 Pa

• 302225 Pa

• 280000 Pa

• 250000 Pa

Explain how a manometer works and how it is used to measure fluid pressure.

• A manometer measures fluid pressure by calculating the density of the fluid in a straight pipe.

• A manometer measures fluid pressure by using a digital sensor to read pressure levels.

• A manometer measures fluid pressure by applying a vacuum to a sealed container and measuring the change.

• A manometer measures fluid pressure by comparing the height of a liquid column in a U-shaped tube against atmospheric pressure.

In fluid statics, what conditions must be satisfied for a fluid to be in hydrostatic equilibrium?

• The fluid must be compressible, pressure must be equal at all points, and viscosity must be negligible.

• The fluid must be in motion, pressure must vary with depth, and temperature must remain constant.

• The fluid must be turbulent, pressure must decrease with height, and density must be uniform throughout.

• The fluid must be at rest, pressure must be uniform at horizontal levels, and pressure gradient must balance fluid weight.