Wavelength


Learning Intentions

  • To learn how to find the wavelength of a wave from a graph.

Notes

In mathematics, a sine wave is a continuous, smooth wave. It is used to mathematically model waves in the real world.

Sine Curve and the Unit Circle (Stationary Circle) (0:55)


Sine Curve and the Unit Circle (0:26)





Questions

  1. Label each part (A to F) of the sine wave below.

  2. Use the following 3 waves to answer the following questions:
    Three waves, with varying frequencies and amplitudes.
    1. How many wavelengths are in Wave 1?
    2. How many wavelengths are in Wave 2?
    3. How many wavelengths are in Wave 3?
    4. Which wave is the highest frequency?
    5. Which wave is the lowest frequency?
    6. How can you tell by looking at a graph if a wave is high frequency?
    7. Using a ruler to measure, fill in the following table (in millimeters, or mm):


      		 Wavelength (mm)
      		 Amplitude (mm)
      Wave 1

      Wave 2

      Wave 3


    8. The waveforms shown are in fact the voices of 3 members of a family. Dad 1 has a deep, low voice. Dad 2 has a medium-high voice. Their child has a very high-pitched voice.
      1. Which wave represents the voice of Dad 1?
      2. Which wave represents the voice of Dad 2?
      3. Which wave represents the voice of their child?
  3. Extension: Repeat the previous questions for waves 4, 5, and 6.

    3 waves of varying amplitude and frequency.