Question

A transverse wave travels at a speed of 400 m/s in a steel wire with a linear density of 0.10 g/cm. What is the tension in the wire?

Answer 1

Tension in wire will be
`16* 10^3N-m`

Step-by-step explanation:

We have given seed of the transverse wave v = 400 m/sec

Linear density = 0.10 g/cm

We know that 1 gram = 0.001 kg

And 1 cm = 0.01 m

So
`0.1g/cm =(0.1* 10^(-3)kg)/(10^(-2)m)=10^(-2)kg/m`

We know that speed of wave is given by
`v=\sqrt{(T)/(linear\ density)}`, here T is tension in the wire

So
`400=\sqrt{(T)/(10^(-2))}`

Squaring both side
`16* 10^4=(T)/(0.1)`

T =
`16* 10^3N-m`

So tension in wire will be
`16* 10^3N-m`