If there is a rotation, "angular velocity" and "angular frequency" is the same thing. However, "angular frequency" can also refer to situations where there is no rotation.
linear velocity= radius* angular velocity
velosity in circular path angular
Both have mileage.
Velocity equals frequency times wavelength
proportional to 1/r
angular momentum and angular velocity
The time, T , it takes for an object to go thru one comblete rotation of 360 degrees or 2pi radians is its "period." The rate at which it completes the rotation is its "angular velocity." The rate is the angle (in radians) divided by the time. So , Angular Velocity = 2 pi / T.
For any wave, frequency x wavelength = speed of the wave.
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
There are several, what is it that you want to calculate? The "natural" units for angular velocity are radians/second. The relationship between linear velocity and angular velocity is especially simple in this case: linear velocity (at the edge) = angular velocity x radius.
Torque is the rate of change of angular momentum.
angular frequency = square root (K/m) wher k is spring constant and m = mass linear frequency = 1/2pi times square root (K/m)