waves & sound

What is sound? โ€ฆ Soundย isย aย mechanicalย waveย producedย byย vibrationsย thatย travelย throughย aย medium,ย suchย asย air,ย water,ย orย aย solid.

waves

What is a wave? โ€ฆ Aย waveย isย aย disturbanceย thatย transfersย energyย fromย oneย locationย toย another.

  • Transverse waves:
  • Longitudinal waves:
  • frequency, f=1/Tf=1/T
  • period, T=1/fT=1/f
  • angular frequency, ฯ‰=2ฯ€f\omega=2\pi f
  • speed of light, c=fฮป=ฯ‰/kc=f\lambda=\omega/k
  • wavelength, ฮป=c/f\lambda=c/f
  • energy, E=hvE=h\text{v}
  • wavenumber, k=2ฯ€/ฮป=ฯ‰/ck=2\pi/\lambda=\omega/c
  • no. of cycles, N=ft=t/TN=ft=t/T

harmonic waves

For a sinusoidal sound wave traveling in the positive (x)-direction:

p(x,t)=pmcosโก(ฯ‰tโˆ’kx+ฯ•)p(x,t)=p_m\cos(\omega t-kx+\phi)


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