Convert Degrees per second to Radians per second

Degrees per second → Radians per second
°/s × 0.01745329 = rad/s rad/s × 57.29578 = °/s

To convert degrees per second (°/s) to radians per second (rad/s), multiply the degrees per second value by 0.01745329. 1 °/s = 0.01745329 rad/s, and 1 rad/s = 57.29578 °/s. The conversion is a linear scaling with no offset, so the same factor applies to any value.

Going the other way? Convert rad/s to °/s.

°/s to rad/s table
Degrees per second (°/s) Radians per second (rad/s)
0.1 °/s 0.001745329 rad/s
0.5 °/s 0.008726646 rad/s
1 °/s 0.01745329 rad/s
2 °/s 0.03490659 rad/s
5 °/s 0.08726646 rad/s
10 °/s 0.1745329 rad/s
20 °/s 0.3490659 rad/s
50 °/s 0.8726646 rad/s
100 °/s 1.745329 rad/s
500 °/s 8.726646 rad/s
1000 °/s 17.45329 rad/s
Common rotational speed ranges
Typical real-world values (rpm)
Application Typical range
Large servo motor 500 – 2,000 rpm
Standard servo motor 2,000 – 6,000 rpm
High-speed spindle 10,000 – 60,000 rpm
Micro motor (dentistry) 50,000 – 300,000 rpm