First slide
Pressure in a fluid-mechanical properties of fluids
Question

An open tank 10 m long and 2 m deep is filled up to 1.5 m height of oil of specific gravity 0.82. The tank is uniformly accelerated along its length from rest to a speed of 20 m/s horizontally. The shortest time in which the speed may be attained without spilling any oil is

Moderate
Solution

 

v=u+axt, ax=v/t

tanθ=axg=vtg=0.55 (in triangle ABC)

 t=10×2010=20s

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