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Isn't Wikipedia wrong? At the Wikipedia article Angular frequency it says that angular frequency and angular velocity are equal. But how on earth are they equal? Angular velocity is changing all the time while angular frequency is a constant(at least if period is constant ). The only case they might be equal is in constant velocity.
Even in circular motion , suppose it's not moving in constant velocity. Why would they be equal? Angular velocity is changing every second. While angular frequency is just a constant. If you have such a system the angular velocity would be d0/dt which is different every second. While the angular frequency would be the repetitions per second multiplied by 2 pi.
Angular frequency is a one value every time. And velocity you can't even say it's value because it's dependant on time.
I don't really understand the statement in Wikipedia which says both are equal. Can you explain?
Edit: this is even more bizarre in harmonic non circular motions. Suppose you have a pendulum oscillating. Then the angular frequency would be a constant measure of an imaginary circle. While angular velocity would be defined as the derivative of the angle. The two are certainly not equal. One is a changing derivative and one is constant. But even in circular non constant motions it doesn't make sense as explained above.