Question

A reference frame rotates with a constant angular velocity $\omega$ about a stationary axis of a body of mass $m$. Find the resultant centrifugal force of inertia experienced by the reference frame.

• A. $F_{cf}=m{\omega }^2{\overrightarrow{R}}_C$
• B. $F_{cf}=\frac{m{\omega }^2}{{\overrightarrow{R}}_C}$
• C. $F_{cf}=\frac{m}{{\omega }^2{\overrightarrow{R}}_C}$
• D. $F_{cf}=0$

Answer 1

The correct option is A $F_{cf}=m{\omega }^2{\overrightarrow{R}}_C$

The centrifugal force is the pseudo force experienced by any object moving in a circular motion and has a magnitude equal to that of centripetal force $m{\omega }^{2}R$ and direction opposite to it. Thus option A is correct