Conversions

Radians per second to Degrees per second

Convert radians per second to degrees per second (rad/s to °/s). 1 rad/s = 57.2957795131 °/s. Use the calculator, formula and conversion table.

A quick reference1 rad/s = 57.2957795131 °/s
Degrees per second to Radians per second
Angular velocity converter
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How to convert radians per second to degrees per second

Multiply the amount in radians per second by 57.2957795131 to get degrees per second. The displayed factor and results are rounded to 12 significant digits.

°/s = rad/s × 57.2957795131

Worked example

1 rad/s = 57.2957795131 °/s. Change the amount in the calculator above to use your own value.

Units and assumptions

Uses radians per second. One complete revolution is 2π radians or 360 degrees. This converts angular velocity, rather than treating a radian as a whole cycle. Negative values retain the direction of rotation. Values are rounded to 12 significant figures for display.

Calculator results use floating-point arithmetic and are rounded for display. The reference table below uses up to 12 significant digits.

Radians per second to Degrees per second table

Common values, rounded for display
Radians per second (rad/s)Degrees per second (°/s)
00
157.2957795131
5286.478897565
10572.957795131
251,432.39448783
1005,729.57795131
1,00057,295.7795131

About this conversion

What is the formula for radians per second to degrees per second?

°/s = rad/s × 57.2957795131. Multiply the amount in radians per second by 57.2957795131 to get degrees per second. The displayed factor and results are rounded to 12 significant digits.

How do I convert back to radians per second?

Use the degrees per second to radians per second calculator to reverse this conversion. You can also use Swap units in the calculator above.

Can I use a different pair of units?

Choose another unit in the calculator, or open the angular velocity converter to browse all supported pairs.

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