Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 17, Problem 72EAP

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.

  1. What is the frequency difference between the third harmonic of the A and the second harmonic of the E?
  2. 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 indicates that the E string is properly tuned?
  3. 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?

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Chapter 17 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 17 - Prob. 1EAPCh. 17 - FIGURE EX17.2 is a snapshot graph at i = 0 s of...Ch. 17 - Prob. 3EAPCh. 17 - Prob. 4EAPCh. 17 - Prob. 5EAPCh. 17 - Prob. 6EAPCh. 17 - FIGURE EX17.7 shows a standing wave on a string...Ch. 17 - Prob. 8EAPCh. 17 - Prob. 9EAPCh. 17 - 10. The two highest-pitch strings on a violin are...Ch. 17 - A heavy piece of hanging sculpture is suspended by...Ch. 17 - Prob. 12EAPCh. 17 - Prob. 13EAPCh. 17 - What are the three longest wavelengths for...Ch. 17 - Prob. 15EAPCh. 17 - Prob. 16EAPCh. 17 - We can make a simple model of the human vocal...Ch. 17 - The lowest note on a grand piano has a frequency...Ch. 17 - A bass clarinet can be modeled as a 120cmlong...Ch. 17 - Prob. 20EAPCh. 17 - Prob. 21EAPCh. 17 - Prob. 22EAPCh. 17 - Two loudspeakers in a 20C room emit 686Hz sound...Ch. 17 - Prob. 24EAPCh. 17 - What is the thinnest film of MgF2(n1.39) on glass...Ch. 17 - Prob. 26EAPCh. 17 - I FIGURE EX17.27 shows the circular wave fronts...Ch. 17 - Prob. 28EAPCh. 17 - 29. Two in-phase loudspeakers, which emit sound...Ch. 17 - Two in-phase speakers 2.0m apart in a plane are...Ch. 17 - Prob. 31EAPCh. 17 - Prob. 32EAPCh. 17 - A flute player hears four beats per second when...Ch. 17 - Traditional Indonesian music uses an ensemble...Ch. 17 - Two microwave signals of nearly equal wavelengths...Ch. 17 - A 2.0mlong string vibrates at its second-harmonic...Ch. 17 - Prob. 37EAPCh. 17 - Prob. 38EAPCh. 17 - Biologists think that some spiders “tune” strands...Ch. 17 - Prob. 40EAPCh. 17 - Prob. 41EAPCh. 17 - Prob. 42EAPCh. 17 - Prob. 43EAPCh. 17 - A 75g bungee cord has an equilibrium length of...Ch. 17 - Prob. 45EAPCh. 17 - Prob. 46EAPCh. 17 - Prob. 47EAPCh. 17 - Prob. 48EAPCh. 17 - Prob. 49EAPCh. 17 - Prob. 50EAPCh. 17 - Prob. 51EAPCh. 17 - Prob. 52EAPCh. 17 - Prob. 53EAPCh. 17 - Prob. 54EAPCh. 17 - Prob. 55EAPCh. 17 - A 44-cm-diameter water tank is filled with 35 cm...Ch. 17 - Prob. 57EAPCh. 17 - Prob. 58EAPCh. 17 - Two in-phase loudspeakers emit identical 1000 Hz...Ch. 17 - Prob. 60EAPCh. 17 - Two loudspeakers emit sound waves of the same...Ch. 17 - Prob. 62EAPCh. 17 - Prob. 63EAPCh. 17 - Prob. 64EAPCh. 17 - Prob. 65EAPCh. 17 - Engineers are testing a new thin-film coating...Ch. 17 - Prob. 67EAPCh. 17 - Prob. 68EAPCh. 17 - Two loudspeakers in a plane, 5.0 m apart, are...Ch. 17 - Two identical loudspeakers separated by distance...Ch. 17 - Prob. 71EAPCh. 17 - Piano tuners tune pianos by listening to the beats...Ch. 17 - Prob. 73EAPCh. 17 - Prob. 74EAPCh. 17 - Prob. 75EAPCh. 17 - Two radio antennas are separated by 2.0 m. Both...Ch. 17 - Prob. 77EAPCh. 17 - Prob. 78EAPCh. 17 - Prob. 79EAPCh. 17 - Ultrasound has many medical applications, one of...Ch. 17 - Prob. 81EAP
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