Worksheet: Calculating Wave Motion

In this worksheet, we will practice using the wave speed formula, s = fλ, to calculate the movement of waves of different frequencies and wavelengths.

Q1:

Which of the following formulas correctly shows the relation between the frequency, the speed, and the wavelength 𝜆 of a wave?

  • A 𝑠 = 𝑓 + 𝜆
  • B 𝑠 = 𝑓 𝜆
  • C 𝑠 = 𝑓 − 𝜆
  • D 𝑠 = 𝑓 𝜆
  • E 𝑠 = 𝜆 𝑓

Q2:

A pier stretches from the coastline out into the sea a distance of 180 m. Waves on the sea move past the pier as they head toward the shore. The distance between the crests of the waves is 15 m, and the wave crests travel from the end of the pier to the shore in 24 seconds. What is the frequency of the waves?

Q3:

A sound wave in a particular object propagates at 960 m/s and has a frequency of 8 0 0 0 Hz. What is the wavelength of the sound wave in that object?

Q4:

A sound wave in a particular object propagates at 4,670 m/s and has a wavelength of 0.75 m. What is the frequency of the sound wave, to the nearest Hz?

Q5:

A sound wave in a particular object has a frequency of 260 Hz and a wavelength of 2.5 m. At what speed does the sound wave propagate in that object?

Q6:

A wave is shown in the diagram. What is the wavelength of the wave if its speed is 360 m/s?

Q7:

A wave is shown in the diagram. What is the frequency of the wave if its speed is 150 m/s?

Q8:

What is the frequency of the wave shown in the diagram?

Q9:

What is the frequency of the wave shown in the diagram?

Q10:

The speed of the wave shown in the diagram is 460 m/s.

What is the amplitude of the wave?

What is the wavelength of the wave?

What is the frequency of the wave?

At what value of distance is the wave’s positive displacement equal to its amplitude?

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