Question

A particle of mass $m$ rotates with a uniform angular speed $\omega$. It is viewed from a frame rotating about the $z-$axis with a uniform angular velocity ${\omega }_0$. The centrifugal force on the particle is

• A. $m{\omega }^{2}r$
• B. $m{\omega }_0^{2}r$
• C. $m\left(\frac{\omega +{\omega }_0}{2}\right)r$
• D. Zero

Answer 1

The correct option is B $m{\omega }_0^{2}r$

The centrifugal force on the particle is given by
mass $\times$ acceleration of the frame $=m\times {\omega }_0^{2}r=m{\omega }_0^{2}r$