Question

which of the following is equal to the angular acceleration of a disk?

a)first time derivative of angular position
b) second time derivative of angular position

Answer 1

omega = angular VELOCITY = d Theta/ dt

alpha = angular ACCELERATION = d^2Theta/dt^2

Therefore b)

Answer 2

This is comparable to the position derivatives where:
velocity = dx/dt
and
acceleration = d^2x/dt^2