Angular Acceleration Calculator
α from change in angular velocity over time.
Enter your values
ⓘ Live results
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
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.
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.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.