Question

The angular velocity of particle increases from 0 to w as it completes x
stations. Then number of rotations completed by it when its angular
velocity becomes 2w.
2) 2x
3) 3x
4) 4x
1) x​

Answer 1

Answer:

The number of rotations completed by it when its angular velocity becomes 2w is 4x

Explanation:

As we know that the angular velocity of the particle increases from 0 to w then it completes total x number of rotations

so we will have

$\omega^2 - 0 = 2\alpha(2x\pi)$

now when it's speed reaches to 2w then we can say that it will complete N rotations

so again we have

$(2\omega)^2 - 0 = 2\alpha(2N\pi)$

now from above two equations we have

$\frac{\omega^2}{4\omega^2} = \frac{x}{N}$

so we have

$N = 4 x$

#Learn

Topic : Kinematics

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