Question

define angular velocity?​

Answer 1

Answer:

The rate of change of angular position of a rotating body.

hope it helps...

Answer 2

SOLUTION.

Many a time u, heard about it actually "Angular velocity is rate of change of angle". It is true but not always.

Suppose a body travels is a straight line with some velocity and if say what is the angular velocity of this body. Than most of the time u replied " Angular velocity is defined for circular motion not straight line motion". But it's wrong

"Angular Velocity is simply the angle displaced by a body when travelling in a circular path in per unit time"

SO Now the question is how we defined Angular velocity of the different body in straight line.

If you zoom a part of the circle than u find that it's a straight line . Means the straight line motion is the small part of the circular motion.

So a body in straight line motion is also travelling a circular path.

WHAT THE RADIUS OF THAT PART?

Finding the radi of that path is quite simple just

find the equation of that straight line and than differentiate and squre it.

Double differentiate it and put here.....

$radii = \frac{ {(1 + {( \frac{dy}{dx} })^{2} })^{ \frac{3}{2} } }{ \frac{ {d^{2}</strong><strong>y</strong><strong>}</strong><strong> }{ {</strong><strong>dx</strong><strong>}^{2}} }$