Fluid Mechanics: Pipe Taper and Pressure Change

What is the first step to ensure accuracy in solving fluid mechanics problems?

• Using the ideal gas law

• Converting all units to a consistent system

• Ignoring the units

• Assuming the fluid is compressible

What is the correct unit conversion for pressure from kilopascals to pascals?

• Multiply by 100

• Divide by 100

• Divide by 1000

• Multiply by 1000

What principle states that the flow rate must be constant across any cross-section of a pipe?

• Ideal Gas Law

• Continuity Equation

• Newton's Second Law

• Bernoulli's Principle

How is the area of a cylindrical pipe calculated when given the diameter?

• Pi times diameter squared

• Pi times radius squared

• Diameter divided by 2

• Diameter squared

What is the velocity at the inlet if the flow rate is 0.01 cubic meters per second and the diameter is 0.1 meters?

• 2.54 meters per second

• 0.5 meters per second

• 5.09 meters per second

• 1.27 meters per second

What common mistake is made when using the continuity equation?

• Forgetting to convert units

• Using diameter instead of area

• Ignoring the velocity

• Assuming fluid compressibility

What does Bernoulli's equation relate in a fluid flow?

• Density, mass, and energy

• Pressure, velocity, and height

• Mass, velocity, and time

• Temperature, pressure, and volume

What term in Bernoulli's equation is analogous to kinetic energy?

• Rho GH

• One-half rho V squared

• Dynamic pressure

• Static pressure

What happens to the hydrostatic pressure term in Bernoulli's equation if the fluid height remains constant?

• It decreases

• It doubles

• It increases

• It cancels out

What is the static pressure at the outlet if the initial pressure is 101,000 pascals and the velocity at the outlet is 5.09 meters per second?

• 90,000 pascals

• 95,000 pascals

• 101,000 pascals

• 88,852 pascals