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Two particles having mass 4 kg and 2 kg are moving in a circular path having radius 16cm and 4 cm. If their time period are same then the ratio of angular velocity will be

Question

Two particles having mass 4 kg and 2 kg are moving in a circular path having radius 16cm and 4 cm. If their time period are same then the ratio of angular velocity will be

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Solution

The angular velocity (ω) of a particle moving in a circular path is given by the formula ω = 2π/T, where T is the time period of the motion.

Given that the time periods of the two particles are the same, their angular velocities will also be the same.

Therefore, the ratio of their angular velocities will be 1:1.

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