The Wave Equation
$$
v = \lambda f
$$

Note that wavelength is represented by the Greek letter
lambda or \( \lambda \).
Fill out the tables below to practice using the formula above.

Catherine shakes a slinky with a frequency of 4 Hz. The waves have a speed of 5 m/s. What is the wavelength?

Bobby is very fast and shakes a rope 18 times a second. The wavelength of each wave is .4 m. What is the speed of waves in the rope?

Henry creates waves with a wavelength of .55 m, and a speed of 3 m/s. What is the frequency of these waves?

I have a wave with a frequency of 15 Hz, and a speed of 4 m/s. What is the wavelength?
TwoStep Problems:
Use two formulas together to solve the following problems:
$$
d = vt \; \; \; \; \; \; \; \; \; \; v = \lambda f
$$

Howard creates waves with a frequency of 4 Hz and a wavelength of 0.33 m.

How fast do the waves move?

How far do the waves move in 5 seconds?

Timothy creates waves with a frequency of 6 Hz and a wavelength of 0.8 m.

How fast do the waves move?

How far do the waves move in 12 seconds?

Bobby creates a wave with a wavelength of 2 meters.
It moves a distance of 100 meters in a time of 5 seconds.

What is the speed of the waves?

What is the frequency of the waves?

Susan creates a wave with a frequency of 55 Hz.
It moves a distance of 200 meters in a time of 0.6 seconds.

What is the speed of the waves?

What is the wavelength of the waves?
Using other formulas for frequency
The frequency of a wave is defined as the number of waves per second.
You can use this definition to write a new formula for frequency of wave:
$$
\text{frequency} = \frac{\text{number of waves}}{\text{time}}
$$

If there are 6 waves in 3 seconds, what is the frequency of the waves?

If there are 15 waves in 5 seconds, what is the frequency of the waves?

If there are 12 waves in 5.42 seconds, what is the frequency of the waves?

There are 3 waves in 7.25 seconds, and the wavelength of the waves is 0.89 meters.

What is the frequency of the waves?

What is the speed of the waves?

There are 5 waves in 8.25 seconds, and the speed of the waves is 2.2 m/s.

What is the frequency of the waves?

What is the wavelength of the waves?
Answers: