Final answer:
The equations for angular acceleration, angular velocity, and theta are given by α = (∆ω) / (∆t), ω = (∆θ) / (∆t), and θ = ωt respectively. Angular acceleration represents the rate of change of angular velocity, while angular velocity represents the speed of rotation. Theta is the angle through which an object has rotated.
Step-by-step explanation:
The equations for angular acceleration, angular velocity, and theta are:
Angular Acceleration: α = (∆ω) / (∆t)
Angular Velocity: ω = (∆θ) / (∆t)
Theta (Angular Displacement): θ = ωt
The angular acceleration (α) represents the rate at which the angular velocity (ω) is changing with respect to time. The angular velocity (ω) represents how quickly an object is rotating. Theta (θ) is the measure of the angle through which an object has rotated.