What is the angular acceleration? Physics

Question

A carnival Ferris wheel takes 45.0 s to move from rest to the maximum ride speed. At its maximum speed, the ride makes one complete revolution every 12.0 s. Calculate the angular acceleration of this ride.

Answer 1

The maximum angular velocity is 2π radians every 12 seconds or π/6 radians/sec. The angular acceleration is given by (ω_final - ω_initial ) / time or (π/6 - 0) / 45 s = 0.0116 rad s^-2.