Angular velocity calculator

Angular velocity is angular displacement divided by elapsed time.

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Angle turned (radians)

Elapsed time (seconds)

Answer

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Angular velocity is angular displacement divided by elapsed time.

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Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

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Formula and assumptions

This is the average angular velocity over the interval, not the instantaneous speed. Signed angles preserve direction.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Angular velocity calculator

Angular velocity is angular displacement divided by elapsed time.

This is the average angular velocity over the interval, not the instantaneous speed. Signed angles preserve direction.

Next: Basic calculator

A worked example

With angle turned (radians) = 12, elapsed time (seconds) = 3, the angular velocity (rad/s) is 4.

Before you use the result

This is the average angular velocity over the interval, not the instantaneous speed. Signed angles preserve direction.

Example results for angle turned (radians)

These examples use Elapsed time (seconds): 3. They are reference calculations, not recommended settings.

Angle turned (radians)	Angular velocity (rad/s)
6	2
12	4
24	8

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