Question

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. $1 : 1$

Answer 1

Answer: (C)

$r_1 : r_2$

Answer 2

They have same $\omega.$ centripetal acceleration $= \omega^2r$ $\frac{a_{1}}{a_{2}}=\frac{\omega^{2}r_{1}}{\omega^{2}r_{2}}=\frac{r_{1}}{r_{2}}$