Question

What is Angular acceleration, please explain this concept. Give any equations that involve angular acceleration and explain them.

Answer 1

Angular acceleration is defined as the rate of change of angular velocity of a body.

consider the attached figure as shown

It rotates with an angular velocity
`\omega`

An point inside the object rotates along the path as indicated thus turning by an angle
`\theta` in time 't'

Thus we have

`\alpha =(d\omega )/(dt)\\\\=(d)/(dt)((d\theta )/(dt))\\\\\therefore \alpha =(d^(2)\theta )/(dt^(2))`

physically angular acceleration can be understood as the rate at which the angular speed of any object is changing with time.