guitar string has an overall length of 1.22 m and a total mass of 3.5 g before being strung on a guitar. Once it is used on the guitar, there is a distance of 70 cm between fixed end points. The guitar string is tightened to a tension of 255 N.

What is the frequency of the fundamental wave on the guitar string?

Respuesta :

Answer:

Fundamental frequency= 174.5 hz

Explanation:

We know

fundamental frequency=[tex]\frac{velocity}{2 *length}[/tex]

velocity =[tex]\sqrt{\frac{tension}{mass per unit length} }[/tex]

mass per unit length=[tex]\frac{3.5}{1000*1.22}[/tex]=0.00427[tex]\frac{kg}{m}[/tex]

Now calculating velocity v=[tex]\sqrt{\frac{255}{0.00427} }[/tex]

                                           =244.3[tex]\frac{m}{sec}[/tex]

Distance between two nodes is 0.7 m.

Plugging these values into to calculate frequency

f = [tex]\frac{244.3}{2 *0.7}[/tex] =174.5 hz