Question

can someone explain to me what angular frequency is? and how it relates to period, frequency and amplitude?

Answer 1

Consider a particle moving in uniform circular motion on the trajectory of a unit circle.

The time it takes to all the way around, is the period,
say for example, the period T = 1 [s]

The frequency is the inverse of the period,
i.e. f = 1 / T , and in our case = 1 [1/s] = 1 [Hz]
(one time per second == one hertz)

The angular frequency is like the frequency, but is in terms of radians per second
angular frequency: ω = 2πf,
which makes = 2π [rad/second]
Which just mean the particle moves through 2π radians (a complete revolution) every second.

Answer 2

i suppose the amplitude of either x, or y coordinate of the position of the particle, would be 1, because we chose a unit circle as the trajectory, ..

Answer 3

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Answer 4

I finally get It!! thank you!!

Answer 5

\[\ddot\smile\]