Angular Acceleration Calculator Formula
Understand the math behind the angular acceleration calculator. Each variable explained with a worked example.
Formulas Used
Angular Acceleration
alpha = (omega_f - omega_i) / timeVariables
| Variable | Description | Default |
|---|---|---|
omega_i | Initial Angular Velocity(rad/s) | 0 |
omega_f | Final Angular Velocity(rad/s) | 10 |
time | Time(s) | 4 |
How It Works
Angular Acceleration
Angular acceleration is the rate of change of angular velocity.
Formula
alpha = (omega_f - omega_i) / t
This is the rotational analogue of linear acceleration a = (v_f - v_i) / t.
Worked Example
A flywheel speeds up from rest to 10 rad/s in 4 seconds.
omega_i = 0omega_f = 10time = 4
- 01alpha = (omega_f - omega_i) / t
- 02alpha = (10 - 0) / 4
- 03alpha = 2.5 rad/s²
Ready to run the numbers?
Open Angular Acceleration Calculator