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# Connecting period and frequency to angular velocity

Definition of period and frequency for an object moving in a circle. Connecting period and frequency to the magnitude of the angular velocity.

## Want to join the conversation?

• Are this concepts related to period an frequency in waves?
(1 vote)
• Yes, actually they are. Waves and circular motion are connected because you can model a sine wave off of motion in a circle. Thus, when we talk about the frequency in waves, we talk about the rate at which the wave is passing a given point, which essentially can be used to describe circular motion as well. It is the rate at which the ball passes through the positive x-axis.
• I thought S^-1 is the SI unit for angular velocity.
(1 vote)
• s^-1 is the same as Hertz and it is the unit for frequency.
• He did the example for period with the circle going counter clock-wise. Does the same apply if you are going clockwise?
• Yes. Because period (T) is the "time" it takes to go full circle, it can't be negative. So we have to use the magnitude of the angular velocity (disregard the direction and thus the sign) when calculating period from angular velocity.
• Isn't Angular velocity the same as Frequency because their Dimensions are the same so can, we just use Hz for Angular velocity instead of rad/s?