A 2 g string, 0.76 m long, is under tension. The string produces a 900 Hz...
A 2 g string, 0.76 m long, is under tension. The string produces a 900 Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The tension in the string, in SI units, is closest to:
(A) 740 (B) 650 (C) 450 (D) 550 (E) 350
I keep getting 456 as an answer-- which is incorrect. Please show work so I can see what I'm doing wrong. Thanks!
Homework Answers
m = mass = 2 g = 0.002 kg
L = length = 0.76 m
f3 = 900 Hz
V = 344 m/s
frequency for nth harmonic is given as
fn = (n/(2L)) sqrt(TL/m)
for n = 3
f3 = (3/(2L)) sqrt(TL/m)
900 = (3/(2 x 0.76)) sqrt(T (0.76)/0.002)
T = 547.2
on rounding
T = 550 N
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