Angular Acceleration:
The angular acceleration of a rotating object is the rate at which the angular velocity changes with respect to time. It is the change in the angular velocity, divided by the change in time. The average angular acceleration is the change in the angular velocity, divided by the change in time. The angular acceleration is a vector that points in a direction along the rotation
axis.
\[ angular \; accleration = \frac{change \; in \; angular\; velocity } {change \; in \; time} \]
\[ = \frac{final \; angular \; velocity - initial \; velocity}{ final \; time - initial \; time } \]
\[\alpha = \frac{\omega _{2}-\omega _{1}}{t_{2}-t_{1}} \]
α = angular acceleration, (radians/s2)
Δω = change in angular velocity (radians/s)
Δt = change in time (s)
ω1 = initial angular velocity (radians/s)
ω2= final angular velocity (radians/s)
t1 = initial time (s)
t2= final time (s)
For calculation
Let value of \[\omega_{1}=x ;\: \omega_{2}=y ; \]
\[t_{1} =v; \: t_{2}=f; \]
