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Beats
Physics 101 LO 8
Selina Lo #33096132
What is a beat?
• The result of constructive and destructive interference that
causes 2 waves to have difference frequencies, causing
the amplitude to increase and decrease over a function of
time.
• Beat frequency = the absolute value of the difference in
frequency of 2 waves.
Beat envelope
• Let sine wave represents a single frequency with
constant amplitude
• Beat envelope: 2 waves of slightly different frequencies
are added, the resulting amplitude will vary or oscillate
at a rate that is the difference between the frequencies.
Created around original sine wave.
Resulting wave equation
Beat envelope is the resulting wave
Examples
Question: Calculate the beat frequency if the two frequencies of
waves are 750Hz and 380Hz respectively?
Answer:
f1 = 750Hz and f2 = 380Hz
The beat frequency is given by,
fb = |f1−f2|
fb = |750−380| = 370Hz
Examples
Question: A tuning fork with a frequency of 440 Hz is sounded
together with a note played on a piano. Eight beats are heard in 2
seconds. What is the frequency or pitch of the piano note?
Answer: Beat frequency = 8 beats = 4 Hz
2 secs
fb = |f2−f1|
4Hz = |440−f1| = 444Hz or 436 Hz
References
• Hawks, R.,Iqbal, J. Mansour, F, Milner-Bolotin, M. & Williams P.
2014. Physics for Scientists and Engineers: An Interactive
Approach (1st ed.) Nelson Education Ltd.

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Physics 101 learning object 8

  • 1. Beats Physics 101 LO 8 Selina Lo #33096132
  • 2. What is a beat? • The result of constructive and destructive interference that causes 2 waves to have difference frequencies, causing the amplitude to increase and decrease over a function of time. • Beat frequency = the absolute value of the difference in frequency of 2 waves.
  • 3. Beat envelope • Let sine wave represents a single frequency with constant amplitude • Beat envelope: 2 waves of slightly different frequencies are added, the resulting amplitude will vary or oscillate at a rate that is the difference between the frequencies. Created around original sine wave.
  • 4. Resulting wave equation Beat envelope is the resulting wave
  • 5. Examples Question: Calculate the beat frequency if the two frequencies of waves are 750Hz and 380Hz respectively? Answer: f1 = 750Hz and f2 = 380Hz The beat frequency is given by, fb = |f1−f2| fb = |750−380| = 370Hz
  • 6. Examples Question: A tuning fork with a frequency of 440 Hz is sounded together with a note played on a piano. Eight beats are heard in 2 seconds. What is the frequency or pitch of the piano note? Answer: Beat frequency = 8 beats = 4 Hz 2 secs fb = |f2−f1| 4Hz = |440−f1| = 444Hz or 436 Hz
  • 7. References • Hawks, R.,Iqbal, J. Mansour, F, Milner-Bolotin, M. & Williams P. 2014. Physics for Scientists and Engineers: An Interactive Approach (1st ed.) Nelson Education Ltd.