- #1

Hiero

- 322

- 68

Lets just talk about a horizontal slice so that the gravitational potential is constant. The pressure must increase as we move out from the center in order to supply the centripetal acceleration.

In the frame of reference rotating with the cylinder, everything makes sense. We have a fictitious centrifugal potential which decreases as you move from the center, and the pressure increases as you move out, so Bernoulli’s equation is satisfied.

I am confused how it works in the inertial frame. We no longer have any potential. The kinetic energy density increases as we move out from the center, as does the pressure. So how can Bernoulli’s equation be satisfied if they both increase?

What am I overlooking?