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Frequency is defined as the number of repetitions made in one second.

In case of pendulum the repetition is called oscillation.

In case of a tuning fork, the repetition is known to be vibration.

In case of a wheel, the same repetition is said to be rotation.

In case of planet going around the sun, that one is named as revolution.

So, the number of oscillations, vibrations, rotations, revolutions per second in known as frequency. Thus, as the number has no unit and time has second as unit we get the unit for frequency as second -1

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