A piano wire 0.5m long has a total mass of 0.01kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamenta...

A piano wire 0.5m long has a total mass of 0.01kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamental note

Answer Details

F = $\frac{1}{2L}$$\sqrt{\frac{T}{m}}$

N:B m is mass per length

= $\frac{0.01}{0.5}$

= 0.02kgm-1

F = $\frac{1}{2\times 0.5}$$\sqrt{\frac{800}{0.02}}$

= 200Hz