Let's consider two sounds in this problem.
In the case where you're listening to two sounds that have different frequencies, you'll hear distant tones.
Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note A should have a frequency of 440 Hz and the note E should be at 659 Hz.
A.) What is the frequency difference between the third harmonic of the A and the second harmonic of the E?
B.) A tuner first tunes the A string very precisely by matching it to a 440 Hz tuning fork. She then strikes the A and E strings simultaneously and listens for beats between the harmonics. What beat frequency between higher harmonics indicates that the E string is properly tuned?
C.)The tuner starts with the tension in the E string a little low, then tightens it. What is the frequency of the E string when she hears four beats per second?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Standing Sound Waves concept. You can view video lessons to learn Standing Sound Waves. Or if you need more Standing Sound Waves practice, you can also practice Standing Sound Waves practice problems.