• # question_answer 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: [AIEEE 2012] A) ${{m}_{1}}{{r}_{1}}:{{m}_{2}}{{r}_{2}}$ B) ${{m}_{1}}:{{m}_{2}}$ C) ${{r}_{1}}:{{r}_{2}}$ D) $1:1$

 [c] They have same $\omega$. centripetal acceleration $={{\omega }^{2}}r$ $\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{\omega }^{2}}{{r}_{1}}}{{{\omega }^{2}}{{r}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}$