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Wave Equations

This article explores the concepts of wave frequency and period in detail. Frequency, measured in hertz (Hz), represents the number of cycles per second, with one cycle defined by a full peak-to-peak or trough-to-trough measurement. For example, a frequency of 2 Hz means 2 cycles per second. The period, the time it takes for one complete wave to pass a point, is inversely related to frequency (Period = 1/Frequency). Through examples like a bird flapping at 121 Hz, we illustrate these concepts and the wave equation involving speed, wavelength, and frequency.

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Wave Equations

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  1. Wave Equations

  2. Frequency • Frequency is the number of cycles per time second – the unit is hertz. • One cycle is measured from peak to peak or trough to trough. • 2 cycles per second = 2 hertz

  3. Period • Is the time it take for a wave to pass a certain point. • Period = 1/frequency or T= 1/f • Example if a bird flaps at a frequency of 121 hertz (cycles per second). The period is 1/121 = ~0.00826 seconds • Frequency equals 1/period • 1/0.00826 = ~121 hertz

  4. The Wave Equation • Speed = Wavelength • Frequency

  5. Work out the speed of these slinky waves.

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