A 50 cm long guitar string with a mass per unit length of 3.20 g/m is in a room where the speed of sound in air equals 3.40 m/s. The guitar player wants to play a noted with a fundamental frequency of 356 Hz. (a) What is the wavelength of the sound wave producing this 356 Hz sound? (b) what is the speed of the standing wave on the guitar string? (c) How much tension must the guitar player use in this string in order to produce this note?
Guitar string. Find the speed of the standing wave on the string and tension the player must use.?
I'll assume you meant 340 m/s for the speed of sound:
a) λ = u/f = 340/356 = .955 m
c) T = 4µ*f²*L² = 4*.0032*356²*.5² = 405.55 N
b) u = √(T/µ) = √(405.55/.0032) = 356 m/s
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