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
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.
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
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 = Ïgh
= 800 x 10 x 2.4
= 1.92 x 104 Pa
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 Ï√2gr
assuming no atmospheric pressure.
hc verma.. fluid mechanics.. no. 8.... (b)...... (c) ans wrong... just check....
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..
And the answer is 9600√2 N/m2, also the liquid will make an angle of 45° with horizontal