Question

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

• A. m${\omega }^2$a
• B. m${\omega }_0^2$a
• C. m ${\left(\frac{\omega +{\omega }_0}{2}\right)}^2$ a
• D. m $\omega {\omega }_{0}a$

Answer 1

The correct option is B

m${\omega }_0^2$a

Centrifugal force is nothing but a pseudo force, pseudo force on a body when viewed from a non-inertial reference frame is equal to the mass of the body multiplied by the acceleration of the frame. In this case, acceleration of frame is ${\omega }_0^2$ a
$\therefore$ centrifugal force is m${\omega }_0^2$a