Question

A body is moving in a circular path with acceleration $a$. If its velocity gets doubled, find the ratio of acceleration after and before the change :

• A. 1:04
• B. $\frac{1}{4}:1$
• C. 2:01
• D. 4:01

Answer 1

Answer: (D)

4:01

Answer 2

In a circular motion $a =\frac{v^{2}}{r}$ $\therefore \frac{a_{2}}{a_{1}} =\left(\frac{v_{2}}{v_{1}}\right)^{2}$ $=\left(\frac{2 v_{1}}{v_{1}}\right)^{2}=4$