Q.

In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5 m at a given instant of time. The speed of the particle is

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a

5.7 m/s

b

6.2 m/s

c

4.5 m/s

d

5.0 m/s

answer is A.

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Detailed Solution

acos 300 = ac  = v2R⇒v2 = aR×32 ⇒ v2 = 32.47 ⇒ v = 5.7 m/s
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In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5 m at a given instant of time. The speed of the particle is