How to Convert RPM to rad/s
To convert rpm to rad/s, divide the value by 9.5493.
The Formula
rad/s = RPM ÷ 9.5493
Key Fact
1 radian per second = 9.5493 rpm
Tip: To convert rad/s back to rpm, multiply by 9.5493.
RPM to rad/s
Convert rpm (RPM) to rad/s (rad/s) with formulas, examples, and conversion tables.
RPM
rad/s
1 RPM = 0.1047 rad/s
Full precision:0.10472 rad/s
Step-by-Step Solution
To convert 1 rpm to rad/s, we divide by 9.5493 because one radian per second equals exactly 9.5493 rpm.
1 radian per second = 9.5493 rpm
Since there are 9.5493 rpm in every radian per second, we divide our value by this factor:
1 ÷ 9.5493 = 0.1047 rad/s
So 1 rpm = 0.1047 rad/s.
Quick check: 0.1047 × 9.5493 = 1 rpm
Example Conversions
Example 1: 1 RPM = 0.1047 rad/s
1 ÷ 9.5493 = 0.1047
1 ÷ 9.5493 = 0.1047
Example 2: 5 RPM = 0.5236 rad/s
5 ÷ 9.5493 = 0.5236
5 ÷ 9.5493 = 0.5236
Example 3: 10 RPM = 1.0472 rad/s
10 ÷ 9.5493 = 1.0472
10 ÷ 9.5493 = 1.0472
RPM to rad/s Table
| RPM | rad/s |
|---|---|
| 1 RPM | 0.1047 rad/s |
| 2 RPM | 0.2094 rad/s |
| 5 RPM | 0.5236 rad/s |
| 10 RPM | 1.0472 rad/s |
| 20 RPM | 2.0944 rad/s |
| 25 RPM | 2.618 rad/s |
| 50 RPM | 5.236 rad/s |
| 100 RPM | 10.472 rad/s |
| 250 RPM | 26.18 rad/s |
| 500 RPM | 52.36 rad/s |
| 1000 RPM | 104.72 rad/s |
1 Revolution per Minute in Other Units
| Unit | 1 RPM = |
|---|---|
| RPM to rad/s | 0.10472 rad/s |
| RPM to RPS | 0.016667 RPS |
| RPM to °/s | 6 °/s |
| RPM to °/min | 360.001 °/min |
| RPM to rad/min | 6.2819 rad/min |
| RPM to rad/h | 376.691 rad/h |