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JEE Main 2012 (AIEEE) · Centripetal Acceleration & Force

Centripetal Acceleration & Force question from JEE Main 2012 (AIEEE)

Q50JEE Main 2012 · AIEEEEasy

Centripetal Acceleration & Force

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

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Answer: (c)

Same time period $t$ means same angular speed $\omega = \frac{2\pi}{t}$ .
$a = \omega^2 r$ , so $a \propto r$ (mass does not matter).
$a_1 : a_2 = r_1 : r_2$
So the answer is (c) $r_1 : r_2$ .

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