Revolution per Second to Radian per Second Converter
Convert revolution per seconds to radian per seconds (rps to rad/s) instantly with this free online angular-velocity converter. Enter any value in the Revolution per Second field and get the equivalent in Radian per Second immediately. This converter handles any quantity — from tiny fractions to large numbers — with full precision. No signup, no ads in the widget, and the conversion runs entirely in your browser for instant results.
The conversion factor is exact: 1 rps = 6.283185311 rad/s. To convert revolution per seconds to radian per seconds, multiply your Revolution per Second value by 6.283185311. For example, 10 rps = 62.83185311 rad/s. You can also reverse the calculation: 1 rad/s = 0.159154943 rps.
Quick conversion table
| Revolution per Second (rps) | Radian per Second (rad/s) |
|---|---|
| 1 rps | 6.283185311 rad/s |
| 5 rps | 31.41592655 rad/s |
| 10 rps | 62.83185311 rad/s |
| 25 rps | 157.0796328 rad/s |
| 50 rps | 314.1592655 rad/s |
| 100 rps | 628.3185311 rad/s |
Use the swap button to reverse the direction, or choose a different unit from the dropdown menus to convert within the angular-velocity category.
Formula
Revolution per Second to Radian per Second conversion: 1 rps = 6.283185311 rad/s radian per seconds = revolution per seconds × 6.283185311 1 rad/s = 0.159154943 rps revolution per seconds = radian per seconds × 0.159154943
Example
Example: Convert 10 rps to rad/s: 10 rps × 6.283185311 = 62.83185311 rad/s So, 10 rps is about 62.83185311 rad/s. To convert back, multiply by 0.159154943: 62.83185311 rad/s × 0.159154943 = 10 rps.
How to Use
- Enter the value you want to convert in the Revolution per Second field
- The result in Radian per Second appears instantly below
- Use the dropdown menus to change units if needed
- Click 'Swap Units' to reverse the conversion direction
- Copy the result or adjust the input for a new conversion
Frequently Asked Questions
How do I convert revolution per seconds to radian per seconds?
Enter the value in Revolution per Second (rps) in the 'From' field. The equivalent in Radian per Second (rad/s) appears instantly in the 'To' field. The converter uses precise conversion factors and updates in real time as you type.
What is the formula to convert rps to rad/s?
1 rps = 6.283185311 rad/s, so radian per seconds = revolution per seconds × 6.283185311. To convert back, 1 rad/s = 0.159154943 rps. The full formula and a worked example are shown on this page.
How many radian per seconds are in one Revolution per Second?
1 rps = 6.283185311 rad/s.
Is this Revolution per Second to Radian per Second converter free?
Yes, completely free with no signup, no limits, and no ads in the converter widget. You can convert as many values as you need. The tool runs entirely in your browser, so your data never leaves your device.
Can I convert radian per seconds back to revolution per seconds?
Yes. Click the 'Swap Units' button to reverse the direction. You can also use the dropdown menus to select any other angular-velocity unit for either field.
How accurate is the rps to rad/s conversion?
The converter uses high-precision conversion factors (up to 8 decimal places). Results are displayed with up to 6 decimal places, with trailing zeros removed for readability. For scientific or engineering work, always verify with official standards.