Circular motion
Uniform circular motion
Example of uniform circular motion
The motion of a body moving with constant speed along a circular path is called Uniform Circular Motion.
An example of a uniform circular motion would be the hands of an analog clock. The tips of the clock hands move in a circular path at a constant speed.
Angular speed in sec-1
Angular velocity ω is the time rate at which an object rotates or revolves about an axis. It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second.
Angular velocity - Definitionmm
If a complete revolution (φ = 360° or 2 Π) is taken as a reference and as the associated time the rotation period T, the angular velocity can be calculated as follows:
Angular velocity - how to calculate
Angular speed and rotational speed
The rotational speed is the number of revolutions per minute. If the speed is expressed in sec-1, the following applies:
Angular speed and rotational speed
Angular velocity and circular velocity
The circular velocity v corresponds to the velocity on a circular path and is proportional to the angular velocity ω and the radius r of the circular path.
Angular velocity and circular velocity
Example: The belt speed of a conveyor belt is to be calculated. The nominal speed of the motor is 1410 rpm. A gearbox with a gear ratio of i = 15 is flanged to the motor shaft. The radius of the belt shaft is 5 cm.
Relationship between angular velocity and circular velocity
