Giancoli's Physics: Principles with Applications, 7th Edition
12
Sound
Change chapter12-1: Characteristics of Sound
12-2: Intensity of Sound; Decibels
12-3: Loudness
12-4: Sources of Sound: Strings and Air Columns
12-5: Quality of Sound, Superposition
12-6: Interference; Beats
12-7: Doppler Effect
12-8: Shock Waves; Sonic Booms
Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 48
Q
What is the beat frequency if middle C (262 Hz) and (277 Hz) are played together? What if each is played two octaves lower (each frequency reduced by a factor of 4)?
A
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VIDEO TRANSCRIPT
This is Giancoli Answers with Mr. Dychko. The beat frequency between a C and the middle C sharp is going to be the difference in their frequencies. So, that's 277 hertz minus 262 hertz which is 15 hertz. And then the beat frequency if both of these notes were played 2 octaves lower. Would be... So, the frequency is reduced by a factor of 4 in other words. Frequency 2 divided by 4 minus frequency 1 divided by 4, these are the new frequencies. And that means you can just take f2 minus f1 and divide all that by 4. And f2 minus f1 is 15. So, 15 over 4 gives about 3.8 hertz will be the beat frequency in that case.
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