fluid mechanics

A spherical tank of 1.2m radius is half filled with oil of relative density 0.8. If the tank is given a horizontal acceleration of 10 m/s2. Calculate the maximum pressure on the tank.

7 Answers

1
learner ·

try to proceed conceptually here

take a differential element of fluid and apply newtons laws ...........
if you are not able to get nudge me back

30
Ashish Kothari ·

On providing horizontal acceleration,

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

62
Lokesh Verma ·

here pseudo force will be very useful

if we draw the fbd in the non inertial frame of reference, we will see two forces on the liquid

one equal to mg and another equal to ma

both these are perpendicular to each other..

net force will be √2ma

We want the max pressure..

The maximum pressure will be at the bottom of the fluid (here bottom means at the distance r from the center of the central tank and along the direction of the net force..

so the answer will be ρ√2gr

assuming no atmospheric pressure.

1
shikha112 ·

thnx for ur help..

1
venkateshan ·

hc verma.. fluid mechanics.. no. 8.... (b)...... (c) ans wrong... just check....

1
venkateshan ·

plzz ne1 help me.....

i 've doubt in Q. no. 8. (b)..... nd i think (c) answer is wrong in the buk......
plz refer my prev. post..

71
Vivek @ Born this Way ·

And the answer is 9600√2 N/m2, also the liquid will make an angle of 45° with horizontal

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