RPM to Rad s Calculator
Convert rotational speed instantly from revolutions per minute (RPM) to radians per second (rad/s) with accuracy.
Rotational Speed Converter
How to Use RPM to Rad s Calculator
Follow these simple steps:
- Enter RPM Value: Input the rotational speed in revolutions per minute (RPM).
- Click Calculate: Press the “Calculate Rad/s” button to process the conversion.
- View Result: The result will instantly appear in radians per second (rad/s).
- Apply Result: Use the precise value for your engineering analysis, design, or motor testing.
Tips for Best Use: Always enter numeric values only. Double-check units before calculating. Use decimals for precise results.
How to Convert RPM to Rad s
You can convert RPM to radians per second using this standard engineering formula:
Or simplified:
Step-by-Step Example
Convert 120 RPM to rad/s:
1. Formula: rad/s = RPM × (2π / 60)
2. Substitute: rad/s = 120 × (2 × 3.14159 / 60)
3. Simplify: rad/s = 120 × (0.10472)
4. Result: rad/s ≈ 12.57
Final Answer: 120 RPM = 12.57 rad/s
RPM to Rad s Conversion Chart
| RPM | Rad/s |
|---|---|
| 10 | 1.05 |
| 50 | 5.24 |
| 100 | 10.47 |
| 200 | 20.94 |
| 300 | 31.42 |
| 500 | 52.36 |
| 1000 | 104.72 |
| 2000 | 209.44 |
| 3000 | 314.16 |
FAQs About RPM to Rad s Calculator
It converts rotational speed from revolutions per minute (RPM) to radians per second (rad/s), which is the standard SI unit for angular velocity.
Engineers use rad/s because it simplifies many physics equations and is consistent with SI units used in dynamics and control systems.
The exact factor is 2π / 60, which is approximately 0.104719755. Multiplying RPM by this value gives rad/s.
Yes. To convert back, multiply your rad/s value by 60 / (2π) or approximately 9.5493.
Yes. It uses high-precision constants (Math.PI) to ensure results are mathematically exact for engineering purposes.
It is commonly used in electric motors, mechanical drivetrains, robotics, and any physics problem involving rotational dynamics.
Yes. For manual calculations, use π ≈ 3.14159 or 3.1416 to maintain accuracy in your results.
No. RPM is a widely used industrial unit, but radians per second (rad/s) is the official SI unit for angular frequency.
Absolutely. The relationship between linear time and angular distance is constant regardless of how high the speed is.
Yes. Whether it's a car tire, a ventilation fan, or a turbine blade, the angular velocity conversion remains the same.