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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 direction in a circle of radius `R=2.5m` at a given instant of time. The speed of the particle is.

A

4.5 m/s

B

5.0 m/s

C

5.7 m/s

D

6.2 m/s

Text Solution

Verified by Experts

The correct Answer is:
c
Centripetal accleration of particle moving on a circular path is given by `a_(c)=(v^2))`
In the given figure
`a_(c)=a cos30^(@)=15cos30^(@0m//s^(2)`
implies(v^(2)/®=15cos30^(@)`
impliesv^(2)=Rxx15xx(sqrt(3))/(2)`
`=25xx15xx(sqrt(3))/(2)`
`:.v=5.7m//s`
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