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Question: 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...

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 which the speed may be attained without spilling any oil is : [g = 10 m/sec2]

A

20 sec

B

18 sec

C

10 sec

D

5 sec

Answer

20 sec

Explanation

Solution

v = u + ax t, ax = vt\frac{v}{t}

tan  = axg\frac{a_{x}}{g} = vtg\frac{v}{t_{g}} = 0.55\frac{0.5}{5} (in triangle ABC)

 t = 10×2010\frac{10 \times 20}{10} = 20 sec.