A jet impinges directly on to a plate that is oriented normal to the axis of the jet. The mass flow rate of the jet is 50 kg/min and its velocity is 200 m/s. Perform a control volume analysis to calculate the force on the plate.

166.67 N

Explanation:

Given:

Mass flow rate = 50 kg/min = 50 kg / 60 seconds = 0.833 kg/s

Initial velocity = 200 m/s

after striking the normal board the water will flow in the normal direction, thus the final velocity in the direction of the initial flow will be zero

therefore,

Force = (change in momentum)

or

Force = Initial momentum - final momentum

or

Force = 0.833 * 200 - 0.833 * 0

or

Force = 166.67 N