how do you find the wave speed from the frequency and the wavelength?

show how the units of speed are related to the units of wavelength and frequency.

-Thank You :)

To find the wave speed (v) from the frequency (f) and the wavelength (λ), you can use the formula:

v = f * λ

where:
- v represents the wave speed,
- f represents the frequency, and
- λ represents the wavelength.

To understand how the units of speed are related to the units of wavelength and frequency, let's consider the units of each quantity:

- The unit of frequency (f) is Hertz (Hz), which represents the number of wave cycles per second.
- The unit of wavelength (λ) is meters (m), which represents the distance between two corresponding points in a wave.

Given that the wave speed (v) is the product of frequency and wavelength, we can derive its units based on the units of frequency and wavelength. Multiplying the unit of frequency (Hz) by the unit of wavelength (m) gives us (Hz * m).

Simplifying this expression, (Hz * m) can also be written as (1/s * m), as frequency (Hz) represents cycles per second (1/s). We can rewrite this as (m/s), indicating meters per second – which represents the velocity or speed.

Therefore, the units of wave speed (v) are meters per second (m/s), which aligns with the units of wavelength (m) and frequency (Hz).