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 [tex]\omega [/tex]
An point inside the object rotates along the path as indicated thus turning by an angle [tex]\theta[/tex] in time 't'
Thus we have
[tex]\alpha =\frac{d\omega }{dt}\\\\=\frac{d}{dt}(\frac{d\theta }{dt})\\\\\therefore \alpha =\frac{d^{2}\theta }{dt^{2}}[/tex]
physically angular acceleration can be understood as the rate at which the angular speed of any object is changing with time.
