3.2. Application of Linear Momentum

Try these first

1. 1.

   Define linear momentum in fluid mechanics.

   Hint

   Recall the equation p = mv.

2. 2.

   What does a control volume in fluid mechanics represent?

   Hint

   Think about where we analyze forces and velocities.

3. 3.

   What is linear momentum represented as?

   • p = mv
   • p = m + v
   • p = mv^2

   Hint

   Remember the formula involving mass and speed.

4. 4.

   True or False: Control volumes are static areas where fluid properties do not change.

   • True
   • False

   Hint

   Consider situations where fluid flows through a control volume.

5. 5.

   A tank releases water at 5 m/s through a pipe that narrows down. If the diameter of the pipe decreases by half, calculate the new velocity of water and the force exerted at the pipe's exit if the exit area is 0.05 m².

   Hint

   Remember to use the continuity principle that A₁V₁ = A₂V₂.

6. 6.

   Determine the effect of external forces on momentum conservation in a scenario where water exits a tank into open air. How would you analyze the forces acting on the jet?

   Hint

   Draw a control volume diagram to visualize forces at play.