Question

A steel cable of diameter 3cm is kept under a tension of 10kn.the density of ateel is 7.8g/cm3. with what peed would transverse waves propagate along the cable?

Answer 1

Given that,

Diameter = 3 cm

Tension = 10 kN

Density = 7.8 g/cm³

We need to calculate the value of $\mu$

Using formula of $\mu$

$\mu=\rho(\pi\dfrac{d^2}{4})$

Put the value into the formula

$\mu=7.8(\pi\times\dfrac{3^2}{4})$

$\mu=55.1\ g/cm$

We need to calculate the speed of transverse wave

Using formula of speed

$v=\sqrt{\dfrac{T}{\mu}}$

Put the value into the formula

$v=\sqrt{\dfrac{10\times10^{-3}}{55.1\times0.1}}$

$v=0.0426\ m/s$

$v=4.26\times10^{-2}\ m/s$

Hence, The speed of transverse wave is $4.26\times10^{-2}\ m/s$

Answer 2

Answer:

Diameter = 3 cm

Tension = 10 kN

Density = 7.8 g/cm³

We need to calculate the value of 

Using formula of 

Put the value into the formula

We need to calculate the speed of transverse wave

Using formula of speed

Put the value into the formula

Hence, The speed of transverse wave is 

Explanation: