GATE ME 2021 Set 1 — Question 57
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Fluid Mechanics → Fluid Kinematics & Dynamics → Impulse-Momentum Principle
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Question
A cylindrical jet of water (density ) impinges at the center of a flat, circular plate and spreads radially outwards, as shown in the figure. The plate is resting on a linear spring with a spring constant . The incoming jet diameter is .
If the spring shows a steady deflection of upon impingement of jet, then the velocity of the incoming jet is ________ m/s (round off to one decimal place).

Correct answer
11.2 to 11.4
Solution
The force exerted by the jet on the plate is given by the rate of change of momentum: . This force is balanced by the spring force: . Equating them:Given , , , and . Substituting the values:Rounding to one decimal place, .
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