Question

A stretched string is 1.91 m long and has a mass of 20.9 g. When the...

A stretched string is 1.91 m long and has a mass of 20.9 g. When the string oscillates at 440 Hz , which is the frequency of the standard A pitch, transverse waves with a wavelength of 16.7 cm travel along the string. Calculate the tension ? in the string.

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Answer #1

Velocity of wave is given by :

Therefore

v = 440 Hz x 0.167 m

= 73.48 m/sec

Since velocity is also given by following expression :

Where T = tension in string

= 0.0109 kg/m

Therefore

Therefore

T = 59.1 N

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