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The period T is the time taken to complete one cycle of an oscillation or rotation. The frequency and the period are related by the equation [ 4 ] f = 1 T . {\displaystyle f={\frac {1}{T}}.} The term temporal frequency is used to emphasise that the frequency is characterised by the number of occurrences of a repeating event per unit time.
For example, a stepper motor might turn exactly one complete revolution each second. Its angular frequency is 360 degrees per second (360°/s), or 2π radians per second (2π rad/s), while the rotational frequency is 60 rpm. Rotational frequency is not to be confused with tangential speed, despite some relation between the two concepts. Imagine ...
A balance wheel's period of oscillation T in seconds, the time required for one complete cycle (two beats), is determined by the wheel's moment of inertia I in kilogram-meter 2 and the stiffness (spring constant) of its balance spring κ in newton-meters per radian:
The seconds pendulum, a pendulum with a period of two seconds so each swing takes one second, was widely used to measure gravity, because its period could be easily measured by comparing it to precision regulator clocks, which all had seconds pendulums. By the late 17th century, the length of the seconds pendulum became the standard measure of ...
The normalized quantity, ′ =, has the unit cycle per sample regardless of whether the original signal is a function of time or distance. For example, when f {\displaystyle f} is expressed in Hz ( cycles per second ), f s {\displaystyle f_{s}} is expressed in samples per second .
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For a given sampling rate (samples per second), the Nyquist frequency (cycles per second) is the frequency whose cycle-length (or period) is twice the interval between samples, thus 0.5 cycle/sample. For example, audio CDs have a sampling rate of 44100 samples/second. At 0.5 cycle/sample, the corresponding Nyquist frequency is 22050 cycles/second .
Everyone’s cycle looks different, so there could be a number of reasons behind why your period came early. A typical menstrual cycle is thought to last exactly 28 days—however, it can actually ...