What is the period of a 440 Hz sound wave?

T = 1/440 = 0.00227 seconds, or about 2.27 milliseconds.

What is angular frequency?

Angular frequency (omega) expresses the rate of oscillation in radians per second. One full cycle = 2*pi radians, so omega = 2*pi*f.

Why is AC electricity 50 or 60 Hz?

These frequencies were chosen as engineering compromises. 60 Hz is standard in North America; 50 Hz is used in most of the rest of the world.

Free Wave Period Calculator

Calculate the period of a wave from its frequency using T = 1 / f.

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Frequency

Period

0.016667 s

Period (ms)16.667 ms

Angular Frequency376.9911 rad/s

Period vs Frequency

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Wave Period

The period is the time for one complete cycle of a wave.

Formulas

T = 1 / f

The angular frequency is omega = 2 * pi * f, measured in radians per second.

Example Calculation

A 60 Hz electrical wave (common AC frequency).

01T = 1 / f
02T = 1 / 60
03T = 0.01667 s = 16.67 ms
04omega = 2 * pi * 60 = 376.99 rad/s

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