1/23-24 PotU Sound waves: The Doppler effect and harmonics/harmony

Thursday: The Doppler effect

Warm up

Copy and complete the following sentence by entering one word: Water waves travel in the shape of a ______, sound and light waves travel in the shape of a _______.

Some notes you should have

  • Sound is a longitudinal (also called compression or pressure) wave.
  • In a wave diagram, the lines represent crests (areas of high pressure).
  • Sound is created by repeated changes in pressure.
  • Sound is really another way energy is stored (in the high pressure areas where more energy is stored in the kinetic energy of the particles.
  • Sound is called simple harmonic motion (more about that when we discuss harmony).
  • While we usually draw sound waves as expanding circles, the sound actually travels as spheres.
  • Doppler effect:
    • The sound wave doesn’t actually change, it is just the wavelength people hear that changes.
    • Long waves = low notes; Short waves = high notes.
  • The equation that relates wavelength, frequency, and speed is:

Velocity = frequency * wavelength

  • Frequency and wavelength have an inverse relationship.
  • Speed of sound is called Mach 1, fastest jet fighter is about Mach 3.
  • Speed of sound is about 750 MPH (343 meters per second).
    • Speed of sound changes with temperature: Hotter = higher speed.
  • “Ultimate Doppler effect” is Mach 1, the speed of sound.
    • At this point, each wave “piles up” on the wave crest before it, creating a sonic boom with very high sound energy.
  • Some airplane speeds:
    • Typical passenger jet: Between 0.5-0.7
    • The Concorde, the first ‘super-sonic’ (faster than sound) was developed in the 1980’s to lessen airplane travel time. They flew at about Mach 2.
    • Jet fighters can fly around Mach 3.

Sonic booms

When an object moves faster than the speed of sound, the air pressure ‘piles up’ and creates a very large boom.

Exit ticket

Copy and complete the following sentences by selecting one of the bold words: In the Doppler effect, we detect waves from a source moving towards us as higher/lower pitch, because their wavelengths are shortened/lengthened.

Friday: Standing waves and harmonics

Warm up

Copy and complete the following sentences by selecting one of the bold words: In a sonic boom, “the ultimate Doppler effect,” we the loud boom is created because high/low sound pressure builds up at the front of the jet, and the jet is moving faster/slower than the speed of sound.

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