# Q. A spherical tank of 1.2m radius is half filled with oil of relative density 0.8. Ifthe tank is given a horizontal acceleration of 10 m/s^2. Calculate the maximum pressure on the tank.

###### Q. A spherical tank of 1.2m radius is half filled with oil of relative density 0.8. Ifthe tank is given a horizontal acceleration of 10 m/s^2. Calculate the maximum pressure on the tank.

Aman Bansal
592 Points
10 years ago

Dear Apurv,

The liquid rises along one of the sides.

so,

Let the rise be h.

So,

h/2r=a/g

=> h= a/g * 2r

Since a=10m/s2

h=2r=2.4m

Therefore maximum pressure on the tank = ρgh
= 800 x 10 x 2.4
= 1.92 x 104 Pa

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Thanks

Aman Bansal