Caroline, a piano tuner, suspects that a piano's D4 key is out of tune. Normally, she would play the key along with her D4 tuning fork and tune the piano to match, but her D4 tuning fork is missing. Instead, she plays the errant key along with her C4 tuning fork (which has a frequency of 261.6 Hz), displays the resulting waveform on a handheld oscilloscope, and measures a beat frequency of 50.3 Hz. Then, she plays the errant key along with her E4 tuning fork (which has a frequency of 329.6 Hz) and measures a beat frequency of 17.7 Hz.   a. What frequency is being played by the out‑of‑tune key? 211.3 Hz 311.9 Hz 18.2 Hz 347.3 Hz 279.3 Hz   b. If the D4 key is supposed to produce a frequency of 293.7 Hz, is the frequency of the key lower than it should be ("flat") or higher than it should be ("sharp")?

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Caroline, a piano tuner, suspects that a piano's D4 key is out of tune. Normally, she would play the key along with her D4 tuning fork and tune the piano to match, but her D4 tuning fork is missing. Instead, she plays the errant key along with her C4 tuning fork (which has a frequency of 261.6 Hz), displays the resulting waveform on a handheld oscilloscope, and measures a beat frequency of 50.3 Hz. Then, she plays the errant key along with her E4 tuning fork (which has a frequency of 329.6 Hz) and measures a beat frequency of 17.7 Hz.
 
a. What frequency is being played by the out‑of‑tune key?
211.3 Hz
311.9 Hz
18.2 Hz
347.3 Hz
279.3 Hz
 
b. If the D4 key is supposed to produce a frequency of 293.7 Hz, is the frequency of the key lower than it should be ("flat") or higher than it should be ("sharp")?
flat
sharp
Caroline, a piano tuner, suspects that a piano's D4 key is out of tune. Normally, she would play the key along with her D4 tuning
fork and tune the piano to match, but her D4 tuning fork is missing. Instead, she plays the errant key along with her C4 tuning
fork (which has a frequency of 261.6 Hz), displays the resulting waveform on a handheld oscilloscope, and measures a beat
frequency of 50.3 Hz. Then, she plays the errant key along with her E4 tuning fork (which has a frequency of 329.6 Hz) and
measures a beat frequency of 17.7 Hz.
What frequency is being played by the out-of-tune key?
211.3 Hz
311.9 Hz
18.2 Hz
O 347.3 Hz
279.3 Hz
If the D4 key is supposed to produce a frequency of 293.7 Hz, is the frequency of the key lower than it should be ("flat") or
higher than it should be ("sharp")?
O flat
O sharp
Transcribed Image Text:Caroline, a piano tuner, suspects that a piano's D4 key is out of tune. Normally, she would play the key along with her D4 tuning fork and tune the piano to match, but her D4 tuning fork is missing. Instead, she plays the errant key along with her C4 tuning fork (which has a frequency of 261.6 Hz), displays the resulting waveform on a handheld oscilloscope, and measures a beat frequency of 50.3 Hz. Then, she plays the errant key along with her E4 tuning fork (which has a frequency of 329.6 Hz) and measures a beat frequency of 17.7 Hz. What frequency is being played by the out-of-tune key? 211.3 Hz 311.9 Hz 18.2 Hz O 347.3 Hz 279.3 Hz If the D4 key is supposed to produce a frequency of 293.7 Hz, is the frequency of the key lower than it should be ("flat") or higher than it should be ("sharp")? O flat O sharp
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