1. The problem statement, all variables and given/known data Consider a bucket quarter filled with oil. When the bucket is rotating with the angular velocity ω, derive the equation of the surface h(x), where h is measured from the lowest of the surface and x is measured from the rotational axis. Does it change if we replace oil by water? 2. Relevant equations ##mω^2x=##centrifugal acceleration 3. The attempt at a solution I am struggling the force diagram of the curled-up oil surface, but don't have a clear confirmation. Any help would be appreciated!