Question

Hey,

Derive the formula in physics,

$v = wr$


Urgently needed.​

Answer 1

Hey your answer in the attachment.

So in order to prove that

v = rω

We should know about the arc length :-

Arc length is the length of the circular path which makes angle $\theta$ at the centre.

Note :- Angle is measured in radians ( π )

Now about linear displacement and linear velocity :-

Linear displacement :- The linear path traveled by a particle .

In circular motion the linear displacement is arc length .

Linear velocity :- the velocity at which the particle travel the linear path.

Now angular velocity :-

The rate of change of theta ( central angle in radians) with respect to time .