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Question

A particle moves along the circumference of a circle with radius 2 m. It completes 5 revolutions in 10 seconds. Calculate its speed.

A
4π m/s
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B
3π m/s
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C
π m/s
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D
2π m/s
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Solution

The correct option is D 2π m/s
Since, it completes 5 revolutions in 10 s, for 1 revolution it requires 2 s.
Time period, T=2 s
Circumference of circle, C=2πR

Speed is given by:
v=CT
v=2πRT
v=2π×22=2π m/s

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