3. Moment of Momentum Equation

Try these first

1. 1.

   What is the Reynolds transport theorem?

   Hint

   Think about how mass moves in and out of a system.

2. 2.

   Define momentum in fluid mechanics.

   Hint

   Consider how fluid motion is quantified.

3. 3.

   What does the Reynolds transport theorem relate?

   • Mass flow only
   • Changes in system properties
   • Only velocity changes

   Hint

   Consider how fluid properties change over time.

4. 4.

   True or False: Momentum in a closed system remains constant.

   • True
   • False

   Hint

   Think about the principle of conservation laws.

5. 5.

   A jet of water flows with a velocity of 10 m/s into a control volume of diameter 0.1 m. Calculate the momentum being transferred to the control volume when it exits.

   Hint

   Remember the equation: Momentum = ρ * Q * V.

6. 6.

   In a horizontal pipe with varying diameters, the fluid's inlet diameter is 0.2 m and the outlet diameter is 0.1 m. If the inlet velocity is 5 m/s and density is 1000 kg/m³, what is the outlet velocity?

   Hint

   Consider that the area changes as fluid flows from one diameter to another.