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Beat Frequency Formula

Beat is the term related to sound waves. Beat frequency is nothing but the difference in frequency of two wave. It is due to the destructive and constructive interferences. When two sound waves of different frequency approach your ear, the alternating constructive and destructive interference causes the sound to be alternatively soft and loud - a phenomenon which is called "beating" or producing beats. The beat frequency is equal to the absolute value of the difference in frequency of the two waves. The number of beats per second is equal to the difference in frequency. According to these interferences, sound will be soft or loud. Actually beat frequency is the absolute value of the difference in wave frequencies. The formula for the beat frequency is,
Beat Frequency Formula
Where, f1 and f2 are frequency of two waves.

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Beat Frequency Problems

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Let us discuss the problems of beat frequency.

Solved Examples

Question 1: Calculate the beat frequency if the two frequencies of waves are 750Hz and 380Hz respectively?

Solution:
 
Given parameters are,
f1 = 750Hz and f2 = 380Hz
The beat frequency is given by,
$f_{b}$ = $\left | f_{2} -f_{1}\right |$
$f_{b}$ = $\left | 380 -750\right |$ = 370Hz

 

Question 2: Determine the beat frequency if the wave frequencies are 550Hz, 1000Hz respectively?

Solution:
 
Given parameters are,
f1 = 550Hz and f2 = 1000Hz
The beat frequency is given by,
$f_{b}$ = $\left | f_{2} -f_{1}\right |$
$f_{b}$ = $\left | 1000 -550\right |$ = 450Hz

 

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