Question

for a particle performing uniform circular motion,derive an expression for angular speed and state it's unit.
I will mark them brainlist
but give whole solution​

Answer 1

Given:

A particle is undergoing uniform circular motion with speed v.

To find:

• Expression for angular speed.

• Unit for angular speed.

Solution:

• Angular speed is defined as the linear speed divided by the radius of the circular trajectory in which the body is moving.

• In other words, it is the scalar counterpart of angular velocity.

Let angular speed be $\omega$.

$\therefore \: \omega = \dfrac{speed}{radius}$

$\boxed{ \implies \: \omega = \dfrac{v}{r} }$

$\implies \: \omega = \dfrac{m/sec}{m}$

$\implies \: \omega = rad/s$

Hence, Unit of angular speed is radian/sec.

Hope It Helps.