Q.

An open tank 10 m long and 2 m deep is filled upto 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/sec horizontally. The shortest time (in sec) in which the speed may be attained without spilling any oil is: g=10m/sec2

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answer is 20.

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Detailed Solution

v=u+axt,ax=vt

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tanθ=axg=vtg=0.55 (in triangle ABC)

t=10×2010=20sec

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An open tank 10 m long and 2 m deep is filled upto 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/sec horizontally. The shortest time (in sec) in which the speed may be attained without spilling any oil is: g=10m/sec2