Rpm stands for revolutions per minute. The aim is to convert N (expressed in rpm) to ω (expressed in rad.s−1). If N revolutions are performed in one minute, N60 revolutions are performed in one second. As one revolution is equal to 2π radians, the conversion can be done thanks to the following formula:
ω[rad.s−1]=2πN/60 [rpm]
N[rpm]=60.ω/ 2π [rad.s−1]