Angular, Linear Speeds and Revolutions Calculator

An online angular and linear speeds, and revolutions calculator in a system that is moving along a circular path and at a constant speed. This calculator converts the number of revolutions per minutes (RPM) of a point P rotating at a distance R from the center of rotation O, into radians per second and meters per second. It also converts angular and linear speed into revolutions per minute.
If rpm is the number of revolutions per minute, then the angular speed ω in radians per second and the linear speed v are given by
ω = rpm × 2 π / 60 (radians per second)
v = ω × R (meters/second)

point P rotating around center of rotation O

1 - Use of Angular, Linear Speeds and Revolutions Calculator Given RPM

Enter the RPM ( in revoluitons per minute) and the radius R (in meters) as positive real numbers then press "Calculate Angular and Linear Speeds".

RPM = revolutions per minute
Radius: R = meters
Decimal Places =
Angular Speed: ω = radians / second
Linear Speed: v = meters / second


2 - Use of Angular, Linear Speeds and revolutions Calculator Given Angular Speed

Enter the angular speed ω and the radius R (in meters) as positive real numbers and press "Calculate Linear Speed and RPM".

Angular Speed: ω = = radians per second
Radius R = meters
Decimal Places =
Linear Speed: v = meters / second
RPM = rotations / minute


3 - Use of Angular, Linear Speeds and Revolutions Calculator Given Linear Speed

Enter the linear speed v and the radius R (in meters) as positive real numbers and press "Calculate Angular Speed and RPM".

Linear Speed: v = = meters per second
Radius R = meters
Decimal Places =
Angular Speed: ω = radians / second
RPM = revolutions / minute

More References and Links

Rotation, Angular and Linear Speed.

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