Angular Acceleration Calculator
α from change in angular velocity over time.
Enter your values
Results update instantly as you type — no submit needed.
Results
- Angular acceleration
- 6.28 rad/s²
- Tangential acceleration
- 1.884 m/s²
- Torque required
- 12.56 N·m
- Angle turned
- 78.5 rad
- Revolutions
- 12.494
Quick answer
Angular acceleration is α = (ω₂ − ω₁) ÷ t, the rate at which angular velocity changes, measured in radians per second squared.
α = Δω ÷ t
At a glance
| What it does | α from change in angular velocity over time. |
|---|---|
| Category | Physics |
| Inputs needed | Initial angular velocity, Final angular velocity, Time, Radius, Moment of inertia |
| Main output | Angular acceleration |
| Formula | α = Δω ÷ t |
| Cost | Free — no sign-up, no download |
How to use the Angular Acceleration Calculator
- 1Enter the starting and finishing angular velocity.
- 2Enter the time over which the change happened.
- 3Add radius and inertia for tangential acceleration and torque.
Inputs explained
- Initial angular velocity(rad/s)
- Enter the initial angular velocity you are working with.
- Final angular velocity(rad/s)
- Enter the final angular velocity you are working with.
- Time(s)
- Enter the time you are working with.
- Radius(m)
- Enter the radius you are working with.
- Moment of inertia(kg·m²)
- Enter the moment of inertia you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Initial angular velocity0 rad/s
- Final angular velocity31.4 rad/s
- Time5 s
- Radius0.3 m
- Moment of inertia2 kg·m²
Results
- Angular acceleration6.28 rad/s²
- Tangential acceleration1.884 m/s²
- Torque required12.56 N·m
- Angle turned78.5 rad
- Revolutions12.494
Frequently asked questions
How do you convert RPM to rad/s?
Multiply RPM by 2π and divide by 60 — 300 RPM is 31.4 rad/s.
Is angular acceleration the same as tangential?
No — tangential acceleration is α × r and is measured in m/s² along the rim.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.