A particle moves on a circular arc of radius r, the distance covered by particle when it travels from A to B on the arc subtending an angle 60∘ at centre of circular path.
A
2πr9
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B
2πr6
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C
3πr4
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D
2πr8
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Solution
The correct option is B2πr6 In this case the distance travelled by particle will be equal to perimeter of arc or length of arc.
Distance travelled will be, S=2πr(θ360∘)
Here θ=60∘ ⇒S=2πr(60∘360∘) ∴S=2πr6
Hence we can see that distance travelled will be 16th of the total circumference of circular path.