Physic Labs

Oscillations and waves

Introduction to sound waves

Observe sound in air as a longitudinal wave: the surface shows pressure variation with position while gas layers oscillate along the propagation direction. Vary wavelength and frequency to verify v=λfv = \lambda f.

High school

⚠ When listening to real sound from speakers or tuning forks, keep the volume moderate and avoid ears near loud sources — high sound intensity damages hearing.

Equipment

  • 3D canvas showing the pressure surface of a sound wave, rotated by dragging or arrow keys
  • Sliders «Biên độ áp suất», «Bước sóng λ» and «Tần số f»
  • Readout line showing «Vận tốc âm v = λf»
  • «Tạm dừng» / «Chạy tiếp» button to freeze the wave pattern

Procedure

  1. Read the speed of sound from wavelength and frequency

    Set «Bước sóng λ» and «Tần số f» to any values and look at the readout line: «Vận tốc âm v = … m/s». Check that the displayed number equals the product of the two sliders, i.e. v=λfv = \lambda f. Change λ, then f, and re-read v each time.

  2. Distinguish the roles of amplitude and frequency

    Increase «Biên độ áp suất» and watch the surface grow taller — a louder sound — while the readout v stays fixed. Then change only «Tần số f»: the crests sweep faster, a higher pitch, and v follows the model's v=λfv = \lambda f. Conclude that frequency sets pitch while pressure amplitude sets loudness.

  3. Rotate the view and identify a longitudinal wave

    Press «Tạm dừng» to freeze the picture, then drag the canvas (or focus it and use the arrow keys) to view the surface from several sides. Recognise compression–rarefaction travelling along the propagation direction — the signature of sound in air — then press «Chạy tiếp» and predict the new v before changing λ or f.

Simulation

Experiment history

Since Galileo Galilei it was known that pitch is related to the number of vibrations per second; he described this in Dialogue Concerning Two New Sciences (1638). Isaac Newton derived the first expression for the speed of sound in air from the elasticity and density of the medium, presented in Book II of the Principia (1687). Newton's value was about 15% below experiment because he treated compression as isothermal. In 1816 Laplace showed the compressions are adiabatic and added the factor γ, bringing the formula into agreement with measurement. The relation v = λf remains the standard way to measure the speed of sound and probe the transmitting medium.

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