• # question_answer Two racing car of masses ${{m}_{1}}$ and ${{m}_{2}}$ are moving in a circle of radius ${{r}_{1}}$ and ${{r}_{2}}$respectively their speeds are such that each makes a complete circle in the same time t the ratio of the angular speed of the first to the second car will be: A)  ${{m}_{1}}{{m}_{2}}:{{r}_{1}}{{r}_{2}}$                 B)  $1:1$ C)  ${{m}_{1}}:{{m}_{2}}$                D)  ${{r}_{1}}:{{r}_{2}}$

Mass of first running car $={{m}_{1}}$ Mass of second running car $={{m}_{2}}$ Radius of the first circle $={{r}_{1}}$ Radius of the second circle $={{r}_{2}}$ As we know that both the cars takes some time to complete the circle, i.e., both have same time period. Therefore, the ratio of the angular speeds of car will be$1:1$.