Converter group
Engineering Converters
Velocity - Angular Converter
Result
... Revolution per second = ... Radian per second
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Revolution per second to Radian per second Converter
Use this page to convert revolution per second values into radian per second, with background details, formulas, a worked example, and a quick conversion table.
Conversion formula
1 r/s = 6.28318530717959 rad/s
1 rad/s = 0.159154943091895 r/s
Example: 60 r/s = 376.991118430775 rad/s
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Revolution per second
A revolution per second is represented in this converter as 6.28318530718 radians per second.
History: Revolutions describe rotating machinery in complete turns.
Current use: Revolutions per second are used for high-speed rotating systems and mechanical comparisons.
Also written as r/s.
Radian per second
A radian per second describes angular displacement in radians per second.
History: Radians connect angular motion directly with arc length and radius in mechanics.
Current use: Radians per second are used in physics, rotational dynamics, motors, and control systems.
Also written as rad/s.
Revolution per second to Radian per second table
| Revolution per second [r/s] | Radian per second [rad/s] |
|---|---|
| 0.01 r/s | 0.0628318530717959 rad/s |
| 0.1 r/s | 0.628318530717959 rad/s |
| 1 r/s | 6.28318530717959 rad/s |
| 2 r/s | 12.5663706143592 rad/s |
| 5 r/s | 31.4159265358979 rad/s |
| 10 r/s | 62.8318530717959 rad/s |
| 20 r/s | 125.663706143592 rad/s |
| 50 r/s | 314.159265358979 rad/s |
| 100 r/s | 628.318530717959 rad/s |
Frequently asked questions
How many Radian per second (rad/s) are in one Revolution per second (r/s)?
One Revolution per second equals 6.28318530717959 Radian per second.
How do you convert Revolution per second to Radian per second?
Multiply the Revolution per second value by 6.28318530717959 to get the result in Radian per second.
How do you convert Radian per second back to Revolution per second?
Multiply the Radian per second value by 0.159154943091895 to get back to Revolution per second.
What is 60 Revolution per second in Radian per second?
60 Revolution per second equals 376.991118430775 Radian per second.