Question

On a cello, the string with the largest linear density (1.44 x 10-2 kg/m) is the C string. This string produces a fundamental frequency of 93.0 Hz and has a length of 0.834 m between the two fixed ends. Find the tension in the string.

Answer 1

Answer:

$T=346.5N$

Explanation:

From the question we are told that:

Density $\rho= (1.44 * 10^{-2} kg/m)$

Frequency$F=93.0Hz$

Length$l=0.834m$

Generally the equation for Frequency is mathematically given by

$F=\frac{1}{2 l}sqrt{\frac{T}{\rho}}$

Therefore

$T=\rho(2 lF)^2$

$T= (1.44 * 10^{-2}*(2*0.834)(93.0))^2$

$T=346.5N$