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In the given figure, a=15m//s^(2) repres...

In the given figure, `a=15m//s^(2)` represents the total acceleration of a particle moving in the clockwise dirction in a circle of radius `R=2.5`m at a given instant of time. The speed of the particle is

A

`5.7 m//s`

B

`6.2 m//s`

C

`4.5 m//s`

D

`5.0 m//s`

Text Solution

Verified by Experts

Centripetal acceleration `= (v ^(2))/( R ) = a cos 30^(@)`
`implies v = sqrt ( a R cos 30^(@)) = sqrt (15 xx 2. 5 xx (sqrt3)/(2)) = 5.7 m//s`
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