Question

The diameter of an iron wire is 1.20 mm. If the speed of transverse waves in the wire is `50.0m//s`, what is the tension in the wire? The density of iron is `7.7xx10^(3)kg//m^(3)`

Answer 1

Here, `d=1.20mm=1.20xx10^(-3)m,`
`v=50.0ms^(-1), T=?, rho=7.7xx10^(3)kg//m^(3)`
Mass per unit length of wire,
`m=Axx1xxrho=(pid^(2))/(4)rho`
As `v=sqrt((T)/(m)),T=mv^(2)=(pid^(2))/(4)rhov^(2)`
`=(22)/(7xx4)(1.20xx10^(-3))^(2)xx7.7xx10^(3)(50)^(2)`
`T=21.78N`