Converter group
Engineering Converters
Velocity - Angular Converter
Result
... Radian per second = ... Revolution per second
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Radian per second to Revolution per second Converter
Use this page to convert radian per second values into revolution per second, with background details, formulas, a worked example, and a quick conversion table.
Conversion formula
1 rad/s = 0.159154943091895 r/s
1 r/s = 6.28318530717959 rad/s
Example: 60 rad/s = 9.54929658551372 r/s
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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
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 to Revolution per second table
| Radian per second [rad/s] | Revolution per second [r/s] |
|---|---|
| 0.01 rad/s | 0.00159154943091895 r/s |
| 0.1 rad/s | 0.0159154943091895 r/s |
| 1 rad/s | 0.159154943091895 r/s |
| 2 rad/s | 0.318309886183791 r/s |
| 5 rad/s | 0.795774715459477 r/s |
| 10 rad/s | 1.59154943091895 r/s |
| 20 rad/s | 3.18309886183791 r/s |
| 50 rad/s | 7.95774715459477 r/s |
| 100 rad/s | 15.9154943091895 r/s |
Frequently asked questions
How many Revolution per second (r/s) are in one Radian per second (rad/s)?
One Radian per second equals 0.159154943091895 Revolution per second.
How do you convert Radian per second to Revolution per second?
Multiply the Radian per second value by 0.159154943091895 to get the result in Revolution per second.
How do you convert Revolution per second back to Radian per second?
Multiply the Revolution per second value by 6.28318530717959 to get back to Radian per second.
What is 60 Radian per second in Revolution per second?
60 Radian per second equals 9.54929658551372 Revolution per second.