What is the speed of sound and tension in a vibrating harpsichord string?

[tag16]

Homework Statement

A harpsichord string of length 1.60 m and linear mass density 25.0 mg/m vibrates at a (fundamental) frequency of 450.0 Hz.
(a) What is the speed of the transverse string waves?

(b) What is the tension?

(c) What are the wavelength and frequency of the sound wave in air produced by vibration of the string? The speed of sound in air at room temperature is 340 m/s.

Homework Equations

v=2Lfn/n

The Attempt at a Solution

Already used above equation to find the speed, 1440 m/s. Not sure how to find part b or c though

 

[Fenn]

You're missing a relevant equation that relates tension of the string to the speed of a wave and the linear mass density of the string. This is given by

<br /> v = \sqrt{\frac{T}{\mu}}<br />

Try working with that and see if you can get the rest.

 

[Redbelly98]

For (c): what must the frequency of the sound be?