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From:  Dr. TJ Gunn

Angular Acceleration Formula

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. The magnitude of the angular acceleration is given by the formula below. The unit of angular acceleration is radians/s2.

Δω = change in angular velocity (radians/s)

Δt = change in time (s)

ω1 = initial angular velocity (radians/s)

t1 = initial time (s)

t2= final time (s)

Angular Acceleration Formula Questions:

1) A disc in a DVD player starts from rest, and then begins spinning when the user presses “Play”. After 4.00 s, the disc is spinning at 160 radians/s. What was the average angular acceleration of the disc?