Question

A particle is moving along a circular path with a constant speed V.the change in velocity of the particle in half rotation is​

Answer 1

Answer:

2V

Explanation:

At starting the velocity is upwards and at the end of semicircle the object pointing downwards so change in velocity is 2V

Answer 2

The change in velocity of the particle in half rotation is 2v.

Given:-

Initial Constant Speed of particle (u) = V

To Find:-

The change in velocity of the particle in half rotation.

Solution:-

We can easily find out the change in velocity of the particle in half rotation by following the given procedure.

As

Initial Constant Speed of particle (u) = V

Final Constant Speed of particle = vf

Let the Initial point of the circular path be x

and the final point of the circular path be y

Since, both the points are opposite to each other then Angle (a) = 180°

According to the formula,

$vf = 2v \sin( \frac{a}{2} )$

$vf = 2v \sin( \frac{180}{2} )$

$vf = 2v \sin( 90)$

$\sin(90) = 1$

$vf = 2v$

Hence, The change in velocity of the particle in half rotation is 2v.

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