Question

In a circular motion, If angular frequency as well as linear speed are doubled,then the centripetal acceleration

• A. Is halved
• B. Is doubled
• C. Is quadrupled
• D. Remains same

Answer 1

The correct option is C Is quadrupled

We know,

$f=\frac{v}{2\pi r}$

$a_c=\frac{v^2}{r}$

Here,

$v\to 2v$

And hence , $f\to 2f$

And,

$a_c=\frac{v^2}{r}\to \frac{4v^2}{r}=4f$

Option $\text{C}$ is the correct answer