The formula for angular acceleration (denoted as α\alpha) is given by the rate of change of angular velocity ω\omega over time tt.
α=ΔωΔt\alpha = \frac{\Delta \omega}{\Delta t}
Where:
- α\alpha = Angular acceleration (in radians per second squared, rad/s2\text{rad/s}^2)
- Δω\Delta \omega = Change in angular velocity (in radians per second, rad/s\text{rad/s})
- Δt\Delta t = Change in time (in seconds)
If angular acceleration is constant, another useful kinematic equation is:
α=τI\alpha = \frac{\tau}{I}
Where:
- τ\tau = Torque (in Newton-meters)
- II = Moment of inertia (in kg·m²)
This equation relates angular acceleration to the applied torque and the moment of inertia.
