GATE ME 2017 Set 2 — Question 40
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Fluid Mechanics → Fluid Kinematics & Dynamics → Impulse-Momentum Principle
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Question
A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is . If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ___________
Correct answer
627 to 629
Solution
Given:
Diameter of jet,
Diameter of hole,
Velocity of jet,
Velocity of water passing through hole,
Density of water, The horizontal force required to hold the plate is equal to the rate of change of momentum of the jet in the horizontal direction.Mass flow rate of the incoming jet: Mass flow rate of water passing through the hole: Since , the horizontal force is:The magnitude of the horizontal force required to hold the plate is approximately .
Diameter of jet,
Diameter of hole,
Velocity of jet,
Velocity of water passing through hole,
Density of water, The horizontal force required to hold the plate is equal to the rate of change of momentum of the jet in the horizontal direction.Mass flow rate of the incoming jet: Mass flow rate of water passing through the hole: Since , the horizontal force is:The magnitude of the horizontal force required to hold the plate is approximately .
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