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Introduction

If a particle...

Question

If a particle is rotating with an angular velocity $ω$ and angular acceleration $α$ , then ,

A

the particle is slowing down, if the directions of both angular velocity and angular acceleration are shown in the same directions

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B

the particle is speeding up, if the directions of both angular velocity and angular acceleration are shown in the same directions

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C

the particle is slowing down, if both angular velocity and angular acceleration are shown in the opposite directions

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D

the particle is speeding up, if both angular velocity and angular acceleration are shown in the opposite directions

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Solution

The correct options are
B the particle is speeding up, if the directions of both angular velocity and angular acceleration are shown in the same directions
C the particle is slowing down, if both angular velocity and angular acceleration are shown in the opposite directions
if angular acceleration is positive, the rotation of the particle is speeding up, and if the angular acceleration is negative,it is deceleration and hence the particle is slowing down
Thus, options (b) and (c) are correct

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