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, average speed of the particle is
A
πR6T
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B
2πR3T
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C
2πRT
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D
RT
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Solution
The correct option is C2πRT In t=T6, particle will travel 16thof circle.
Hence, Average speed=arcPQtime =2πR6(T6)=2πRT
Alternative:- Since, average speed remains constant and the time required to make a full circle is T. Hence, Average speed=distanceTime=2πRT