A guitar string has a mass of 32.4 g and a length of 1.12 m. The string is pulled to a tension of 621 N. Determine the speed at which vibrations move within the string.

Question

Nelson Ball

Chemistry

12 June, 00:16

A guitar string has a mass of 32.4 g and a length of 1.12 m. The string is pulled to a tension of 621 N. Determine the speed at which vibrations move within the string.

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Answers (1)

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Coleman Dean · Answer 1

Answer: speed of vibration = 146.33m/s

Explanation: The speed of sound (v) in a string is related to tension (T) and mass per unit length (u) via the formula

v = √T/u

T = 621N, m = 32.4g = 0.0324kg, l = 1.12m

u = mass / length, thus

u = 0.0324 / 1.12 = 0.029kg/m

Hence

v = √621 / 0.028

v = √ 21,413.793

v = 146.33m/s