Two particles A and B move at a constant speed in circular paths at the same angular speed ω. Particle A's circle has a radius that is the length of particle B's circle. What is the ratio vA/vB of their translational speeds?

2:1

Explanation:

It is given that,

Two particles A and B move at a constant speed in circular paths at the same angular speed ω.

Particle A's circle has a radius that is the length of particle B's circle.

We need to find the ratio of vA/vB of their translational speeds.

As the angular speed is same. The relation between angular and linear speed is given by :

As

So,

So, the ratio of their translational speeds is 2:1.

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