Question

A particle of mass m rotates with a uniform angular speed ω. It is viewed from a frame rotating about the Z-axis with a uniform angular speed ω₀. The centrifugal force on the particle is
(a) mω²a
(b) $m{\mathrm{\omega }}_0^2\mathrm{a}$
(c) $m{\left(\frac{\omega +{\omega }_0}{2}\right)}^{2}a$
(d) mω ω₀ a.

Answer 1

(b) $m{\mathrm{\omega }}_0^2\mathrm{a}$

The centrifugal force on the particle depends on the angular speed (ω₀) of the frame and not on the angular speed (ω) of the particle. Thus, the value of centrifugal force on the particle is $m{\mathrm{\omega }}_0^2\mathrm{a}$.