Question

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

Answer 1

Answer:

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

$\alpha =\frac{d\omega }{dt}\\\\=\frac{d}{dt}(\frac{d\theta }{dt})\\\\\therefore \alpha =\frac{d^{2}\theta }{dt^{2}}$

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