Question

A 5-cm-diameter horizontal jet of water with a velocity of 40 m/s relative to the ground strikes a flat plate that is moving in the same direction as the jet at a velocity of 10 m/s. The water splatters in all directions in the plane of the plate. How much force does the water stream exert on the plate?

Answer 1

Answer:176.73 N

Explanation:

Given data

diameter$\left ( d\right )$=5cm

Velocity of jet$\left ( v\right )$=40m/s

Velocity of plate$\left ( v_0\right )$=10m/s

Cross-sectional area of jet=19.36 $cm^2$

Mass flow rate which strikes the plate=$\rho \times A\times \left ( v-v_0\right )$

Thus force(f) applied is =$\rho \times A\times \left ( v-v_0\right )^{2}$

F=$10^3\times 19.63\times 10^{-4}\times$$\left ( 40-10\right )^2$

F=176.73N