Bartosz Milewski on Nostr: Naively, the centrifugal force increases with distance, \(F = m \omega^2 r\), but ...

Naively, the centrifugal force increases with distance, \(F = m \omega^2 r\), but that is only true if you keep the angular velocity constant. In your case, you are keeping the angular momentum, \(L = m r^2 \omega \) constant. Thus \(\omega = \frac{L}{m r^2}\) and \(F=\frac{L^2}{m r^3}\)