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# What is the formula to convert revolutions per minute (rpm) to radians per second (rad/s)?

The formula to convert revolutions per minute (﻿﻿) to radians per second (﻿﻿ or ﻿﻿) is given by:

﻿﻿

﻿﻿

where :

• ﻿﻿ is the angular velocity expressed in revolutions per minute [rpm]
• ﻿﻿ is the angular velocity expressed in radians per second [rad/s]

1 rad/s ≈ 9.5492965855 rpm

1 rpm = 0.10471975511965977 rad/s

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