Revolution/seconds to Radian/seconds (rps to rad/s)

Free online revolution/second to radian/second converter. Type a value, get an instant exact result — plus the formula, a ready-made conversion table, and reverse conversion.

ANGULAR VELOCITY CONVERTER — INSTANT RESULT
Formula: multiply the revolution/second value by 6.28318531 — i.e. rad/s = rps × 6.28318531
Quick check: 1 rps = 6.28318531 rad/s

Revolution/seconds to Radian/seconds conversion table

Revolution/seconds (rps)Radian/seconds (rad/s)
1 rps6.28318531 rad/s
2 rps12.56637061 rad/s
3 rps18.84955592 rad/s
4 rps25.13274123 rad/s
5 rps31.41592654 rad/s
6 rps37.69911184 rad/s
7 rps43.98229715 rad/s
8 rps50.26548246 rad/s
9 rps56.54866776 rad/s
10 rps62.83185307 rad/s
15 rps94.24777961 rad/s
20 rps125.66370614 rad/s
25 rps157.07963268 rad/s
30 rps188.49555922 rad/s
40 rps251.32741229 rad/s
50 rps314.15926536 rad/s
75 rps471.23889804 rad/s
100 rps628.31853072 rad/s
250 rps1,570.79632679 rad/s
500 rps3,141.59265359 rad/s
1,000 rps6,283.18530718 rad/s

How to convert revolution/seconds to radian/seconds

To convert revolution/seconds to radian/seconds, multiply the amount in revolution/seconds by 6.28318531. For example, 10 rps = 62.83185307 rad/s. To convert in the other direction, divide by the same factor, or use the ⇄ swap button above.

Convert rotational speed between radians per second, RPM and degrees per second. One revolution per minute equals 2π/60 ≈ 0.10472 rad/s.

Frequently asked questions

How many radian/seconds are in one revolution/second?
One revolution/second is exactly 6.28318531 radian/seconds.
How do I convert rps to rad/s?
Multiply the rps value by 6.28318531 to get rad/s. The converter at the top of this page does this automatically and works in both directions.
How much is 100 revolution/seconds in radian/seconds?
100 revolution/seconds equals 628.31853072 radian/seconds.

Related angular velocity conversions

All Angular Velocity unitsRadian/seconds to Revolution/seconds (rad/s to rps) — reverse conversionrpm → °/s