A thin, massless, horizontal pipe rotates about a vertical axis with angular speed ω as shown in the figure.
A small bug, located at a distance r from the axis, starts crawling inside the pipe at constant speed v (relative to the pipe).
Because of the bug, the motor must develop the power
P_m=Cmω^2vr in order to keep the system rotating at constant angular speed ω.
Determine the numerical coefficient C.