Final answer:
In Physics, specifically in angular kinematics, the equation ω_f = ω_i + αt relates final and initial angular velocities with angular acceleration over time, and angular acceleration is calculated as α = Δω / Δt with constant acceleration.
Step-by-step explanation:
The subject of this question is Physics, specifically concerning the topic of angular kinematics. In angular kinematics, the equation without angular displacement that relates final angular velocity (ω_f), initial angular velocity (ω_i), angular acceleration (α), and time (t) is ω_f = ω_i + αt. This equation is the rotational analogue to the linear equation V_f = V_0 + at, where V represents linear velocity and a represents linear acceleration. The equation for angular acceleration, assuming constant angular acceleration, is α = Δω / Δt, where Δω is the change in angular velocity and Δt is the change in time.