Question

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?

Answer 1

Fundamental frequency= 174.5 hz

Step-by-step explanation:

We know

fundamental frequency=
`(velocity)/(2 *length)`

velocity =
`\sqrt{(tension)/(mass per unit length) }`

mass per unit length=
`(3.5)/(1000*1.22)`=0.00427
`(kg)/(m)`

Now calculating velocity v=
`\sqrt{(255)/(0.00427) }`

=244.3
`(m)/(sec)`

Distance between two nodes is 0.7 m.

Plugging these values into to calculate frequency

f =
`(244.3)/(2 *0.7)` =174.5 hz