A100 ft3 /s water jet (density 62.4 lbm/ft3 ) is moving in the positive x-direction with velocity 20 ft/s. the stream hits a stationary splitter, such that half of the flow is diverted upward at 45° and the other half is directed downward at 45°, and both streams have a final speed of 18 ft/s. disregarding gravitational and viscous effects, determine the force required to hold the splitter in place against the water force.

Explanation:

Given

Initial Flow of water

density

Initial velocity

Final velocity

Initial mass flow rate

Let area of cross section of Two streams after striking be A

Conserving Flow

or Flow rate after splitter splits in to half

conserving momentum in x direction

Final momentum in x direction

Change in momentum

F=1409.24 lbf

change of momentum in Y direction is  zero as the two flows oppose thier motion after striking with splitter.

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explanation: