GATE ME 2021 Set 1 — Question 57

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NAT+2 / -0MediumImpulse-Momentum PrincipleFluid Kinematics & DynamicsFluid Mechanics

Fluid Mechanics → Fluid Kinematics & Dynamics → Impulse-Momentum Principle

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Question

A cylindrical jet of water (density =1000 kg/m3= 1000 \text{ kg/m}^3) 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 k=1 kN/mk = 1 \text{ kN/m}. The incoming jet diameter is D=1 cmD = 1 \text{ cm}.
Cylindrical jet of water impinging on a plate supported by a spring
If the spring shows a steady deflection of 1 cm1 \text{ cm} upon impingement of jet, then the velocity of the incoming jet is ________ m/s (round off to one decimal place).
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