The Relationship between Frequency, Wavelength, and Speed
* Frequency (f): How many wave cycles pass a point per second (measured in Hertz, Hz).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave (measured in meters, m).
* Speed (v): How fast the wave travels (measured in meters per second, m/s).
The relationship between these is:
v = fλ
Calculating the Wavelength
To find the wavelength (λ), we need to rearrange the equation:
λ = v / f
The Problem
You've given us the frequency (f = 45 Hz), but we need the speed (v) of the wave to calculate the wavelength.
Example:
Let's say we are dealing with sound waves in air. The speed of sound in air is approximately 343 m/s.
Then, the wavelength of a 45 Hz sound wave would be:
λ = 343 m/s / 45 Hz = 7.62 meters
Important Note: The speed of a wave depends on the medium it travels through. For example, the speed of sound in water is different than in air. So, to find the wavelength, you need to know the speed of the wave in the specific medium.
