Circular MotionHard

Question

A particle moves in a circle of radius 5 cm with constant speed and time periof 0.2 π s. The accleration of the particle is

Options

A.15 ms-2
B.25 ms-2
C.36 ms-2
D.5 ms-2

Solution

Here, radius R = 5 cm = 5 × 10-2 m
Time period, T = 0.2 π sec.
Centripetal acceleration
ac = ω2R = (5 × 10-2) = 5 m/s2
As particle moves with constant speed, therefore its tangentical acceleration is zero at = 0
The acceleration of the particle is
      = ac = 5 m/s2
It acts towards the centre of the circle.

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