A guitar string with mass density = 2.1 × 10 -4 kg/m is L = 0.98 m long on the g

Question

A guitar string with mass density = 2.1 × 10-4 kg/m is L = 0.98 m long on the guitar. The string is tuned by adjusting the tension to T = 87.9 N.

1)

With what speed do waves on the string travel?

m/s

2)

What is the fundamental frequency for this string?

Hz

3)

To “down tune” the guitar (so everything plays at a lower frequency) how should the tension be adjusted?

increase the tension

decrease the tension

changing the tension will only alter the velocity not the frequency

PLEASE, CLEARLY WORK IT OUT CORRECTLY..THNKS

Explanation / Answer

(1) v=(T/) = (87.9/0.00021)= 646.97 = 647 [m/s]
(2) f=nv/2L = 1*647/(2*0.98)= 330.08 = 330[Hz]
(3) f=nv/2L
f=(n/2L)(T/)^1/2
to down tune must decrease T

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