How do you convert RPM to radians per second?

Answer 1

(x radians / second) x (1 revolution / 2 pi radians) x (60 seconds / minute)

= (60x) / (2 pi) (revolution / minute)

Multiply (radians per sec) by (60)/(2 pi) = 9.5493(rounded) to get RPM.

Answer 2

1 rpm = 2pi radians per minute = 2pi/60 radians per second = pi/30 radians per second.

.

or:

Divide rpm by 60 = revs / second, then multiply by (2 * pi).

so:

(rpm / 60) * (2 * pi) = radians per second

notes:

1 radian = 57.2957795 degrees

there are (2 * pi) radians in a circle

pi (a constant) = 3.141592654