Radians Per Second to RPM Calculator
Convert angular velocity between radians per second and revolutions per minute with precision
Conversion Results
Conversion Formula
1 RPM = 2π/60 rad/s ≈ 0.10472 rad/s
1 rad/s = 60/(2π) RPM ≈ 9.5493 RPM
Calculation Steps
Enter a value to see the detailed calculation steps.
📊 Practical Applications
Automotive Engineering
Convert engine RPM to angular velocity for torque and power calculations.
Mechanical Systems
Calculate rotational speeds for gears, pulleys, and drive systems.
Aerospace
Determine satellite rotation rates and gyroscopic instrument speeds.
Industrial Machinery
Convert between units for motor specifications and conveyor belt speeds.
Amusement Rides
Calculate safe rotation speeds for Ferris wheels and other rotating attractions.
Centrifuges
Convert between units for laboratory and industrial centrifugation processes.
📋 Conversion Reference Table
| Rad/s | RPM | Common Application |
|---|---|---|
| 0.1047 | 1 | Slow turntable |
| 0.5236 | 5 | Ceiling fan (low) |
| 3.1416 | 30 | Record player (33⅓ RPM) |
| 6.2832 | 60 | Second hand of clock |
| 31.4159 | 300 | Washing machine (spin) |
| 52.3599 | 500 | Power tool (drill) |
| 104.7198 | 1000 | Car engine (idle) |
| 314.1593 | 3000 | Car engine (cruising) |
| 523.5988 | 5000 | Car engine (high rev) |
| 1047.1976 | 10000 | High-speed centrifuge |
Note: This calculator uses the exact conversion factors: 1 RPM = π/30 rad/s (≈0.10472 rad/s) and 1 rad/s = 30/π RPM (≈9.5493 RPM). Results are precise to the selected decimal places.