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Calculators / Science / Angular acceleration
Angular acceleration calculator
Find average angular acceleration from initial and final angular velocities.
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Mean angular acceleration2rad/s²
Calculator controls
How to calculate
Find average angular acceleration from initial and final angular velocities.
Mean angular acceleration = (b-a)/t rad/s²
Worked example
Initial angular velocity (rad/s): 2; Final angular velocity (rad/s): 8; Elapsed time (s): 3.
Mean angular acceleration: 2 rad/s².
Assumptions and limits
Signed velocities must refer to the same rotation axis. This is interval-average acceleration; it does not establish acceleration at each instant.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find average angular acceleration from initial and final angular velocities.
When this tool is useful
Mean angular acceleration = (b-a)/t rad/s²
Understanding your inputs
| Input | What to enter |
|---|---|
| Initial angular velocity (rad/s) | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Final angular velocity (rad/s) | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Elapsed time (s) | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Signed velocities must refer to the same rotation axis. This is interval-average acceleration; it does not establish acceleration at each instant.
How is the result calculated?
Mean angular acceleration = (b-a)/t rad/s²