RPS to Radians per Second

Convert rps (rps) to rad/s (rad/s) with formulas, examples, and conversion tables.

rps
rad/s
1 rps = 6.2832 rad/s
Full precision:6.2832 rad/s
Step-by-Step Solution

To convert 1 rps to rad/s, we multiply by 6.2832 because one revolutions per second equals exactly 6.2832 rad/s.

1 revolutions per second = 6.2832 rad/s

Since each revolutions per second contains 6.2832 rad/s, we multiply our value by this factor:

1 × 6.2832 = 6.2832 rad/s

So 1 rps = 6.2832 rad/s.

✓Quick check: 6.2832 ÷ 6.2832 = 1 rps
↔ rad/s to RPS

How to Convert RPS to rad/s

To convert rps to rad/s, multiply the value by 6.2832.

The Formula

rad/s = RPS × 6.2832

Key Fact

1 revolutions per second = 6.2832 rad/s

Tip: To convert rad/s back to rps, divide by 6.2832.

Example Conversions

Example 1: 1 rps = 6.2832 rad/s
1 × 6.2832 = 6.2832
Example 2: 5 rps = 31.4159 rad/s
5 × 6.2832 = 31.4159
Example 3: 10 rps = 62.8318 rad/s
10 × 6.2832 = 62.8318

RPS to rad/s Table

RPSrad/s
1 rps6.2832 rad/s
2 rps12.5664 rad/s
5 rps31.4159 rad/s
10 rps62.8318 rad/s
20 rps125.664 rad/s
25 rps157.08 rad/s
50 rps314.159 rad/s
100 rps628.318 rad/s
250 rps1570.8 rad/s
500 rps3141.59 rad/s
1000 rps6283.18 rad/s

1 Revolutions per Second in Other Units

Unit1 rps =
RPS to Hertz1 Hz
RPS to Kilohertz0.001 kHz
RPS to Megahertz0.000001 MHz
RPS to Gigahertz1e-9 GHz
RPS to Terahertz1e-12 THz
RPS to Millihertz1000 mHz
RPS to RPM59.9999 rpm
RPS to Radians per Second6.2832 rad/s
RPS to °/s360 °/s
RPS to CPM59.9999 cpm
RPS to BPM59.9999 bpm

Related Conversions

Hertz to KilohertzKilohertz to HertzKilohertz to MegahertzMegahertz to KilohertzMegahertz to GigahertzGigahertz to MegahertzHertz to RPMRPM to HertzRPM to RPSRPS to RPM