Question

a particle moves with angular velocity in a circle of radius 10cm if the direction of its velocity reverses after every 100ms then the centripetal acceleration is in m/s²
A. 1600 B. 100 C. 400. D. none of these​

Answer 1

Answer: B. 100

Explanation: As the velocity reverses it’s direction, that means it covers pie radian in 100ms(0.1 sec)

So, omega = pie/0.1 = 10pie

Centripetal acc. = omega^2 r =3.14*3.14*100*0.1 = 98.7 =100(approx)!

Answer 2

Answer: None of these

Explanation : Understand this part carefully....

Here the particle is changing its direction every 0.1 second, so if suppose the particle cover an arc distance of "X" in the first 0.1 second then it changes its direction and cover the same "X" in the next 0.1. So from this observation we can understand that the particle is not able to complete the the circular motion so there won't be an centripetal acceleration which would have been developed if the particle is performing circular motion. So we can conclude that the particle is having no centripetal acceleration as well as no tangential acceleration because the Angular velocity is constant.

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