Convert Radians per second to Revolutions per second
Instantly convert Radians per second (rad/s) to Revolutions per second (rev/s) with our free online calculator.
Formula: rad/s to rev/s — multiply by 0.159155
Reference Table
| Radians per second (rad/s) | Revolutions per second (rev/s) |
|---|---|
| 1 | 0.159155 |
| 5 | 0.795775 |
| 10 | 1.59155 |
| 25 | 3.97887 |
| 50 | 7.95775 |
| 100 | 15.9155 |
How to Convert Radians per second to Revolutions per second
Formula
To convert Radians per second (rad/s) to Revolutions per second (rev/s): multiply by 0.159155
Step-by-Step
- Start with your value in Radians per second (rad/s).
- Multiply by 0.159155 to perform the conversion.
- The result is your value expressed in Revolutions per second (rev/s).
Conversion Factor
1 rad/s = 0.159155 rev/s
Reverse Factor
1 rev/s = 6.28319 rad/s
Worked Example
Convert 25 Radians per second to Revolutions per second: 25 rad/s = 3.97887 rev/s
About Radian per second (rad/s)
The SI unit of angular velocity (ISO 80000-3 §3-7), equal to the rate of change of angular displacement in radians per second. rad/s is the native unit of every physics and engineering formula involving rotational motion: rotational power P = τ·ω (torque × angular velocity), angular momentum L = I·ω (moment of inertia × ω), rotational kinetic energy KE = ½·I·ω², centripetal acceleration a = ω²·r, and the time-derivative form of angular position θ(t) where ω = dθ/dt. Mechanical engineering (drivetrain dynamics, turbomachinery analysis per ASME PTC 6), robotics control loops (PID position-loop tuning in radians per second for joint actuators), gyroscope output (MEMS rate gyros report rad/s natively on the I²C/SPI register), and physics simulations (Bullet Physics, Newton Dynamics, PhysX) all work in rad/s. Reference values: Earth's rotation 7.27 × 10⁻⁵ rad/s (one full turn per 24 h ≈ 86,164 s sidereal day); a typical automotive crankshaft at 6,000 RPM = 628 rad/s; helicopter rotor 30-40 rad/s. 1 rad/s ≈ 9.5493 RPM.
About Revolution per second (rev/s)
Rotational speed expressed in full turns per second (1 rev/s = 60 RPM = 2π rad/s ≈ 6.283 rad/s = 360 deg/s). Rev/s is used in specialized contexts where RPM feels too slow or where the per-second timebase matches the calculation's other time units. Common applications: laboratory centrifuges (Beckman Coulter Avanti J-26 max rotor speed ~5,000 RPM = 83 rev/s; Sorvall RC-6+ ~16,000 RPM = 267 rev/s; ultracentrifuges like Beckman Optima MAX 150,000 RPM = 2,500 rev/s for protein and nucleic-acid separation), automotive turbochargers (small passenger-car turbos run 150,000-250,000 RPM = 2,500-4,200 rev/s; truck/marine turbos slower at 30,000-80,000 RPM), high-speed grinding spindles and dental drills (200,000-400,000 RPM = 3,300-6,700 rev/s), and inertial-confinement-fusion target-rotation rigs. 1 rev/s = 60 RPM = 2π rad/s ≈ 6.28 rad/s.
Quick Facts
- 1 Radian per second equals 0.159155 Revolutions per second
- 1 Revolution per second equals 6.28319 Radians per second
- Radian per second is a unit of angular velocity
- Revolution per second is a unit of angular velocity
- This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
Common Radian per second to Revolution per second Conversions
| Radians per second (rad/s) | Revolutions per second (rev/s) |
|---|---|
| 0.01 | 0.00159155 |
| 0.1 | 0.0159155 |
| 0.25 | 0.0397887 |
| 0.5 | 0.0795775 |
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 5 | 0.795775 |
| 10 | 1.59155 |
| 15 | 2.38732 |
| 20 | 3.1831 |
| 25 | 3.97887 |
| 50 | 7.95775 |
| 75 | 11.9366 |
| 100 | 15.9155 |
| 250 | 39.7887 |
| 500 | 79.5775 |
| 1000 | 159.155 |
| 5000 | 795.775 |
| 10000 | 1591.55 |
Understanding Radians per second
The Radian per second (symbol: rad/s) is a unit of angular velocity. The SI unit of angular velocity (ISO 80000-3 §3-7), equal to the rate of change of angular displacement in radians per second. rad/s is the native unit of every physics and engineering formula involving rotational motion: rotational power P = τ·ω (torque × angular velocity), angular momentum L = I·ω (moment of inertia × ω), rotational kinetic energy KE = ½·I·ω², centripetal acceleration a = ω²·r, and the time-derivative form of angular position θ(t) where ω = dθ/dt. Mechanical engineering (drivetrain dynamics, turbomachinery analysis per ASME PTC 6), robotics control loops (PID position-loop tuning in radians per second for joint actuators), gyroscope output (MEMS rate gyros report rad/s natively on the I²C/SPI register), and physics simulations (Bullet Physics, Newton Dynamics, PhysX) all work in rad/s. Reference values: Earth's rotation 7.27 × 10⁻⁵ rad/s (one full turn per 24 h ≈ 86,164 s sidereal day); a typical automotive crankshaft at 6,000 RPM = 628 rad/s; helicopter rotor 30-40 rad/s. 1 rad/s ≈ 9.5493 RPM.
Radians per second are commonly used in motor specifications, rotating machinery, and mechanical design.
Understanding Revolutions per second
The Revolution per second (symbol: rev/s) is a unit of angular velocity. Rotational speed expressed in full turns per second (1 rev/s = 60 RPM = 2π rad/s ≈ 6.283 rad/s = 360 deg/s). Rev/s is used in specialized contexts where RPM feels too slow or where the per-second timebase matches the calculation's other time units. Common applications: laboratory centrifuges (Beckman Coulter Avanti J-26 max rotor speed ~5,000 RPM = 83 rev/s; Sorvall RC-6+ ~16,000 RPM = 267 rev/s; ultracentrifuges like Beckman Optima MAX 150,000 RPM = 2,500 rev/s for protein and nucleic-acid separation), automotive turbochargers (small passenger-car turbos run 150,000-250,000 RPM = 2,500-4,200 rev/s; truck/marine turbos slower at 30,000-80,000 RPM), high-speed grinding spindles and dental drills (200,000-400,000 RPM = 3,300-6,700 rev/s), and inertial-confinement-fusion target-rotation rigs. 1 rev/s = 60 RPM = 2π rad/s ≈ 6.28 rad/s.
Revolutions per second are commonly used in motor specifications, rotating machinery, and mechanical design.
Why Convert Radians per second to Revolutions per second?
Converting between Radians per second and Revolutions per second is a frequent requirement for engineers, scientists, and students working with angular velocity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular velocity conversion is essential.
Frequently Asked Questions
How do I convert Radians per second to Revolutions per second?
The SI unit of angular velocity (ISO 80000-3 §3-7), equal to the rate of change of angular displacement in radians per second. To convert Radians per second to Revolutions per second, multiply by 0.159155. For example, 25 rad/s equals 3.97887 rev/s.
How many Revolutions per second are in 1 Radian per second?
There are 0.159155 Revolutions per second in 1 Radian per second.
How many Radians per second are in 1 Revolution per second?
There are 6.28319 Radians per second in 1 Revolution per second.
What is the formula for Radian per second to Revolution per second conversion?
The formula is: multiply by 0.159155. This means 1 rad/s = 0.159155 rev/s.
Is a Radian per second bigger than a Revolution per second?
Yes. One Radian per second is larger than one Revolution per second because 1 rad/s equals 0.159155 rev/s, which is less than 1.
When do you need to convert between Radians per second and Revolutions per second?
Rotational speed expressed in full turns per second (1 rev/s = 60 RPM = 2π rad/s ≈ 6. Radian per second and Revolution per second are both angular velocity units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.