In the given figure, a = 15   m   s - 2 represents the total acceleration of a particle moving in the clockwise direction in a circle of the radius R = 2 .5   m   at a given instant of time. The speed of the particle is

Step-by-step solution

Centripetal acceleration is the radial component of resultant acceleration. Referring the figure in question, radial component of the resultant acceleration, = 15 cos 30 ° = 15 × 3 2 ⇒ v   2 r = 15 × 3 2 ⇒ v = 15 × 3 2 × 2 . 5 ≃ 5 . 7   m   s - 1 .