Question

a body travels along the circumference of the circle of radius 2 m with linear velocity of 6m/s . then the angular velocity is ?​

Answer 1

Given:

A body travels along the circumference of the circle of radius 2 m with linear velocity of 6m/s.

To find:

Angular velocity ?

Calculation:

Let angular velocity be $\omega$, linear velocity be v and radius be r :

The expression relating angular velocity and linear velocity is :

$\rm \therefore \: v = \omega \times r$

$\implies \rm \omega = \dfrac{v}{r}$

$\implies \rm \omega = \dfrac{6}{2}$

$\implies \rm \omega = 3 \: rad/s$

So, angular velocity is 3 radian/sec.

Additional information:

• Angular velocity is an axial vector.

• It is directed perpendicular to both position vector and linear velocity vector.

• It is directed perpendicular to the plane of the circular trajectory.

Answer 2

Answer:

Given:

A body travels along the circumference of the circle of radius 2 m with linear velocity of 6m/s.

To find:

Angular velocity ?

Calculation:

Let angular velocity be , linear velocity be v and radius be r :

The expression relating angular velocity and linear velocity is :

So, angular velocity is 3 radian/sec.

Additional information:

Angular velocity is an axial vector.

It is directed perpendicular to both position vector and linear velocity vector.

It is directed perpendicular to the plane of the circular trajectory.

Explanation: