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A particle moves on circular path of rad...

A particle moves on circular path of radius 5 m with constant speed 5 m/s. Find the magnitude of its average acceleration when it completes half revolution.

A

`(v^(2))/(2R)`

B

`(2v^(2))/(piR)`

C

`(v^(2))/(R )`

D

`(v^(2))/(pi R)`

Text Solution

Verified by Experts

The correct Answer is:
B


When the particle goes from A to B the change in its velocity `= V-(-V) = 2V `
and the time taken to travel the distance from A to B along the circular path is `t= ( "distance ") /( "speed")=(pi R )/(v)`
` therefore `Average acceleration `=(dv)/(dt)=(2v)/((pi R )/(v))=(2v^2)/(pi R)`
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