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## Homework Statement

A cylindrical bucket of liquid (density ρ) is rotated about its symmetry axis, which is vertical. If the angular velocity is ω, show that the pressure at a distance r from the rotation axis is

[tex]P = P_0 + \frac{1}{2} \rho \omega^2 r^2[/tex]

where P

_{0}is the pressure at r = 0.

## Homework Equations

P = F/A

## The Attempt at a Solution

I was able to get the correct answer by considering the net force on a mass element dm since it is undergoing centripetal acceleration.

However, I was wondering what about this problem made Bernoulli's Equation not applicable? Bernoulli's equation yields:

[tex]P = P_0 - \frac{1}{2} \rho \omega^2 r^2[/tex]