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Question

A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=T6
  16. Average speed of the particle is
  1. πR6T
  2. 2πR3T
  3. 2πRT
  4. RT


Solution

The correct option is C 2πRT
In t=T6, particle will travel 16th of circle.
Hence, 
Average speed=arcPQtime
  =2πR6(T6)=2πRT Alternatives: Since, average speed remains constant and the time required to make a full circle is T. Hence,
Average speed=distanceTime=2πRT

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