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A uniform cylindrical steel wire, 55.0 cm long and 1.14 mm

Chapter 15, Problem 77P

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QUESTION:

A uniform cylindrical steel wire, 55.0 cm long and 1.14 mm in diameter, is fixed at both ends. To what tension must it be adjusted so that, when vibrating in its first overtone, it produces the note D-sharp of frequency 311 Hz? Assume that it stretches an insignificant amount. (?Hint: ?See Table 12.1.)

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QUESTION:

A uniform cylindrical steel wire, 55.0 cm long and 1.14 mm in diameter, is fixed at both ends. To what tension must it be adjusted so that, when vibrating in its first overtone, it produces the note D-sharp of frequency 311 Hz? Assume that it stretches an insignificant amount. (?Hint: ?See Table 12.1.)

ANSWER:

Solution 77P Introduction We have to calculate the tension in the steel string. Step 1 The string is vibrating on its first overtone. Hence the wavelength of the wave will be = L Henre L is the length of the string.

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