Question

The centrifugal force acting on a body of mass $m$ moving with an angular acceleration $w$ in a circle of radius $r$ is equal to:

• A. $\frac{m{w}^2}{r}$
• B. $m{w}^{2}r$
• C. $mwr$
• D. $\frac{mw}{r}$

Answer 1

The correct option is B $m{w}^{2}r$

The centrifugal force acting on a body is equal to the centripetal force $\frac{m{v}^2}{r}$

now $v=wr$

$\Rightarrow$ $C_F$ = $\frac{m(wr{)}^2}{r}$

$\Rightarrow$ $C_F$ = $m{w}^{2}r$