Beat

Derivation of beat frequency formula

Derivation of beat frequency formula
  1. What is beat derive expression?
  2. What is the formula for beat period?

What is beat derive expression?

This phenomenon of waxing and waning of sound is called beats.Let two sound waves of frequencies n1 and n2 are propagating simultaneously and in same direction. Then at x=0 y1 = A sin 2πn1 t and y2 = A sin 2π n2t For simplicity we take amplitude of both waves to be same.

What is the formula for beat period?

If we were listening to the beat, we would hear the sound become loud and then soft again an fbeat number of times per second. There is also beat period Tbeat=1/fbeat which is simply the amount of time in between consecutive pieces of constructive interference.

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