# A wave has a wavelength of 5 meters and a frequency of 3 hertz. What is the speed of the wave?

##### 1 Answer

The speed of the wave is

#### Explanation:

There are 2 ways to help with this. Explain the details, which are fairly simple in this topic, or give the formula. My hope is that an explanation will last longer than memorizing the formula. I give you both.

If a wave has frequency, f, of 3 Hz, its period, T, is

In general,

In applying this general definition of speed

Note: we generally use v for speed of a wave. Using the variable names, then that last formula is written

Since

So, using that last formula

Note: the unit Hz is equivalent to what it was called 100 years ago,

I hope this helps,

Steve