Q. Two cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively. Their speeds are such that they make complete circles in the same time $t$. The ratio of their centripetal acceleration is
A) $m_{1}r_{1}\ :m_{2}r_{2}$
B) $m_{1}\ :m_{2}$
C) $r_{1}:r_{2}$
D) $1\ :1$
Explanation
(c) They have same $\omega$
Centripetal acceleration $= \omega^{2}r$
$\frac{a_{1}}{a_{2}} = \frac{\omega^{2}r_{1}}{\omega^{2}r_{2}} = \frac{r_{1}}{r_{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.