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Physics Fluid Mechanics Mix MCQ (Single Correct)

A Newtonian fluid fills the gap between a shaft and a concentric sleeve. When a force of 788 N is applied to the sleeve parallel to the shaft, the sleeve attains a speed of 2 m/s. If a 1400-N force is applied, what speed will the sleeve attain? The temperature of the sleeve remains constant.

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The correct answer is:
CHECK THE SOLUTION.

Sol. τ = F/A = µ(dv/dx); F/dv = µA/dx = constant.

Therefore, F 1 /dv 1 = F 2 /dv 2 , 788/2 = 1400/dv 2

dv 2 = 3.55 m/s.

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