Question

The middle C string on a piano is under a tension of 953 N. The period and wavelength of a wave on this string are 3.82 ms and 1.21 m, respectively. Find the linear density of the string.

Chapter 16, Problem 013 Your answer is partially correct. Try again. The middle C string on a piano is under a tension of 953 N. The period and wavelength of a wave on this string are 3.82 ms and 1.21 m, respectively. Find the linear density of the string Number T[3008.64 the tolerance is +/-290 UnitsT kg/m

Answer 1

Speed of wave on string = wavelength/time period

Also speed of wave on string = √(T/$\mu$)

Where T is tension in the string and $\mu$ is mass per unit length of string. Hence

Wavelength/ time period = √( T/$\mu$)

1.21/3.82×10^-3 = √(953/$\mu$)

$\mu$ = 9.5×10^-3 kg/m