# fluids

A liquid of density p is in bucket that spins with angular velocity w (omega). show that the pressure at radial distance 'r' from the axis is
P = PÂ° + pw2r2/2
where PÂ° is the atmospheric pressure

62
Lokesh Verma ·

Aman this is an easy problem

Hint: Take the elementary mass on the surface.

Take distance r.

Its acceleration to the center is ......

Draw the FBD.

Equate!

Sorry if this seems to be a stupid hint. But this is all that u have to do :)

1
big looser ......... ·

ok, i know the solution. but it shows that pressure at point A and B will be same. because we havn't considered height

62
Lokesh Verma ·

Aman I think you have made a wrong interpretation of the question.

I dont think that is what the question says.

It will be different at A and B. There is no doubt about that! It is only to find the pressure at the depth of the crest. I mean at the lowermost point of the parabolic part .. not the lowest point of the bucket!

62
Lokesh Verma ·

or you could say .. at any arbit point of the bucket!