The Equation
The key equation is:
* Speed (v) = Frequency (f) x Wavelength (λ)
Explanation
* Speed (v): This represents how fast a wave travels through a medium. It's typically measured in meters per second (m/s).
* Frequency (f): This measures how many wave cycles pass a fixed point per second. It's measured in Hertz (Hz), where 1 Hz means one cycle per second.
* Wavelength (λ): This is the distance between two consecutive crests or troughs of a wave. It's measured in meters (m).
What it Means
This equation tells us that:
* Higher frequency means shorter wavelength: If you increase the frequency of a wave, its wavelength gets shorter to keep the speed constant.
* Lower frequency means longer wavelength: Conversely, if you decrease the frequency, the wavelength becomes longer.
* Constant speed: For a given medium, the speed of the wave remains constant. This means that if you change the frequency, the wavelength must adjust to maintain the constant speed.
Example
Imagine a rope tied to a post. You shake the rope up and down creating waves.
* Shaking faster: If you shake the rope faster, you increase the frequency. This means the waves will be closer together (shorter wavelength) but the speed of the waves along the rope remains the same.
* Shaking slower: Shaking the rope slower decreases the frequency, resulting in waves further apart (longer wavelength). Again, the speed of the waves along the rope stays constant.
Important Note:
The speed of a wave is determined by the properties of the medium it's traveling through. For example, sound waves travel faster in solids than in liquids or gases. However, the relationship between frequency, wavelength, and speed always holds true.
