Question

An 80-cm-long, 1.0-mm-diameter steel guitar string must betightened to a tension of 2000 {\rm N} by turning the tuningscrews.By how much is the string stretched? (In 2 sig figs and cm)

Answer 1

string stretched is 1.02 cm

Step-by-step explanation:

given data

length = 80-cm

diameter = 1.0-mm

tension = 2000 N

solution

we get here string stretched that will be as and here

we know that young modulus for steel = 200 ×
`10^(9)`

so here stress will be

stress = y × strain .............1

that is express as

`(force)/(area) = (Y \Delta L)/(L)`

ΔL =
`(0.80*2000)/(\pi * 0.0005^2*200*10^9)`

ΔL = 0.0102 m

ΔL = 1.02 cm

so string stretched is 1.02 cm