Answer to Question #3714 in Mechanics | Relativity for ravi

Question

A particle of mass m rotating with angular velocity w (omega) around a fixed axis at distance r from it is observed from a frame of reference rotating around the same axis with angular velocity w1. Find centrifugal force acting on the particle observed from this frame of reference. A) mw^2*r B) mw1^2*r C) m(w+w1/2)^2*r D) mw*w1r

Answer 1

From the rotating frame of reference we get angular velocity of the particle:
ω₀ = ω-ω₁
In this frame of reference centrifugal force is:
F_c = mω² R = mR(ω-ω₁)²