Question

On a cello, the string with the largest linear density (1.58 10-2 kg/m) is the C string. This string produces a fundamental frequency of 65.4 Hz and has a length of 0.805 m between the two fixed ends. Find the tension in the string.

Answer 1

Answer:

$F=175.2N$

Explanation:

The relationship of between fundamental frequency, density of the string, length and tension of the string is:

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

where L/m is the linear density.

make F the subject of the formula

$F=4L^{2}f^{2} \frac{L}{m}$

substitute the values

$F=4*0.805^{2} *65.4^{2} *(1.58*10^{-2} )\\F=175.2N$