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Two particls A and B move at a constant speed in circular paths at the same...

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is nine times the length of particle B's circle. what is the ratio Ta/Tb of their periods?

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is five times the length of particle B's circle. what is the ratio Va/Vb of their translational speeds?

Two particls A and B move at a constant speed in circular paths at the same angular speed w. Particle A's circle has a radius that is length of particle B's circle. what is the ratio aA/aB of (the magnitude of) their centripetal accelerations?

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Answer #1

(a) The time period of two particles can be given as

Also, they have same angular velocity hence

Now taking the ratio of Time period

(b) GIven that they have same angular speed hence

(c) Given that, with same angular speed

Now centripetal acceleration will be

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