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Have a look at the following model of a wave; it will help you understand the terms used in the
frequency definition below it.
Picture of a wave with terminology
Image not found or type unknown Source: Encyclopedia Britannica
Frequency is the number of completed wave cycles per second. In other words, frequency
tells us how many wave crests pass a given point in a second.
This frequency definition leads us to the simplest frequency formula:
f = 1 / T .
f denotes frequency and T stands for the time it takes to complete one wave cycle measured in
seconds.
The SI frequency unit is Hertz (Hz), which equals 1/s (one cycle per second). Other frequency
units include millihertz (mHz), kilohertz (kHz), megahertz (MHz), gigahertz (GHz), and terahertz
(THz).
Have a look at another picture which will allow us to see that frequency is connected to
wavelength. Wavelength is the distance between two adjacent crests (or troughs). In other words -
it is the length of one wave cycle. The longer the wavelength, the lower the frequency:
Picture of a low frequency and high frequency waves
Image not found or type unknown Source: Encyclopedia Britannica)
Another fact we need - how fast the waves travel at (wave velocity) determines how many of them
will pass a given point per second. This means the higher the wave velocity, the higher the
Frequency definition and the
frequency formula
Source: https://www.omnicalculator.com/physics/frequency
Frequency equation from the
wavelength
frequency.
These two relationships between frequency and wavelength (λ), and between frequency and
velocity (v), bring us to the following frequency equation:
f = v / λ .
Revision #1
Created 7 July 2022 04:23:15 by Chris Bake
Updated 7 July 2022 04:24:18 by Chris Bake

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frequency-definition-and-the-frequency-formula.pdf

  • 1. Have a look at the following model of a wave; it will help you understand the terms used in the frequency definition below it. Picture of a wave with terminology Image not found or type unknown Source: Encyclopedia Britannica Frequency is the number of completed wave cycles per second. In other words, frequency tells us how many wave crests pass a given point in a second. This frequency definition leads us to the simplest frequency formula: f = 1 / T . f denotes frequency and T stands for the time it takes to complete one wave cycle measured in seconds. The SI frequency unit is Hertz (Hz), which equals 1/s (one cycle per second). Other frequency units include millihertz (mHz), kilohertz (kHz), megahertz (MHz), gigahertz (GHz), and terahertz (THz). Have a look at another picture which will allow us to see that frequency is connected to wavelength. Wavelength is the distance between two adjacent crests (or troughs). In other words - it is the length of one wave cycle. The longer the wavelength, the lower the frequency: Picture of a low frequency and high frequency waves Image not found or type unknown Source: Encyclopedia Britannica) Another fact we need - how fast the waves travel at (wave velocity) determines how many of them will pass a given point per second. This means the higher the wave velocity, the higher the Frequency definition and the frequency formula Source: https://www.omnicalculator.com/physics/frequency Frequency equation from the wavelength
  • 2. frequency. These two relationships between frequency and wavelength (λ), and between frequency and velocity (v), bring us to the following frequency equation: f = v / λ . Revision #1 Created 7 July 2022 04:23:15 by Chris Bake Updated 7 July 2022 04:24:18 by Chris Bake