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

`T=346.5N`

Step-by-step 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=(1)/(2 l)sqrt{(T)/(\rho)}`

Therefore

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

`T= (1.44 * 10^(-2)*(2*0.834)(93.0))^2`

`T=346.5N`