Two piano strings a supposed to =be vibrating at 220 Hz , but a piano tuner hear

ID: 1509778 • Letter: T

Question

Two piano strings a supposed to =be vibrating at 220 Hz , but a piano tuner hears three beats every 2.2 s when they are played togethe

Part B

By how much (in percent) must the tension be increased or decreased to bring them in tune?

Express your answer using two significant figures. If there is more than one answer, enter them in ascending order separated by commas.

Two piano strings a supposed to =be vibrating at 220 Hz , but a piano tuner hears three beats every 2.2 s when they are played togethe

Question is not displayed properly. Although answered keeping in mind the benefit of the student.

Assuming the Part A) to be as:

If one is vibrating at 220 Hz, what must be the frequency of the other (is there only one answer)?

f2 = f1 - 3/2.2 = 220 - 1.3636 = 218.64 Hz

f2 = f1 + 3/2.2 = 220 + 1.3636 = 221.36 Hz

218.64 Hz, 221.36 Hz

Part B:

If frequency is low T'/T = (220 / 218.64) = 1.0125

This means T must be decreased by (1.0125 - 1)100% = +1.27 %

When frequency is high T'/T = (220 / 221.36) = 0.9878 (0.9878 - 1)100% = -1.22 %

-1.22 %, +1.27 %

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