How to Convert rad/s to RPM
To convert rad/s to rpm, multiply the value by 9.5493.
The Formula
RPM = rad/s × 9.5493
Key Fact
1 radians per second = 9.5493 rpm
Tip: To convert rpm back to rad/s, divide by 9.5493.
Radians per Second to RPM
Convert rad/s (rad/s) to rpm (rpm) with formulas, examples, and conversion tables.
rad/s
rpm
1 rad/s = 9.5493 rpm
Full precision:9.5493 rpm
Step-by-Step Solution
To convert 1 rad/s to rpm, we multiply by 9.5493 because one radians per second equals exactly 9.5493 rpm.
1 radians per second = 9.5493 rpm
Since each radians per second contains 9.5493 rpm, we multiply our value by this factor:
1 × 9.5493 = 9.5493 rpm
So 1 rad/s = 9.5493 rpm.
Quick check: 9.5493 ÷ 9.5493 = 1 rad/s
Example Conversions
Example 1: 1 rad/s = 9.5493 rpm
1 × 9.5493 = 9.5493
1 × 9.5493 = 9.5493
Example 2: 5 rad/s = 47.7464 rpm
5 × 9.5493 = 47.7464
5 × 9.5493 = 47.7464
Example 3: 10 rad/s = 95.4928 rpm
10 × 9.5493 = 95.4928
10 × 9.5493 = 95.4928
rad/s to RPM Table
| rad/s | RPM |
|---|---|
| 1 rad/s | 9.5493 rpm |
| 2 rad/s | 19.0986 rpm |
| 5 rad/s | 47.7464 rpm |
| 10 rad/s | 95.4928 rpm |
| 20 rad/s | 190.986 rpm |
| 25 rad/s | 238.732 rpm |
| 50 rad/s | 477.464 rpm |
| 100 rad/s | 954.928 rpm |
| 250 rad/s | 2387.32 rpm |
| 500 rad/s | 4774.64 rpm |
| 1000 rad/s | 9549.28 rpm |
1 Radians per Second in Other Units
| Unit | 1 rad/s = |
|---|---|
| Radians per Second to Hertz | 0.159155 Hz |
| rad/s to Kilohertz | 0.000159 kHz |
| rad/s to Megahertz | 1.59e-7 MHz |
| rad/s to Gigahertz | 1.59e-10 GHz |
| rad/s to Terahertz | 1.59e-13 THz |
| rad/s to Millihertz | 159.155 mHz |
| Radians per Second to RPM | 9.5493 rpm |
| rad/s to RPS | 0.159155 rps |
| Radians per Second to Degrees per Second | 57.2958 °/s |
| rad/s to CPM | 9.5493 cpm |
| rad/s to BPM | 9.5493 bpm |