A uniform rope of mass 0.1 Kg and length 2.45 m hangs from a ceiling. Find speed of transverse wave in rope at a point 0.5 m distance from the lower end.

Question

parthkohli · Answer

OK, so I hope you know the formula. That's all that is needed for this.

abhisar · Answer

$\sf Velocity=\large \sqrt {\frac{Tension}{mass}}$ ... this one?

parthkohli · Answer

Yes. To be more precise,$$v = \sqrt\frac{T}{\mu}$$that is $\mu$ = mass per unit length

abhisar · Answer

Oh...Yes!

One min..

abhisar · Answer

Thanks .... !!

parthkohli · Answer

OK, did you calculate tension etc.?

abhisar · Answer

Yes....Tension will be 1/49 ...answer will be 2.21 m/s

abhisar · Answer

I was taking the whole mass of rope but as u corrected it should be mass per unit length.

parthkohli · Answer

$$\sqrt{\frac{1/49}{0.1/2.45}}=2.21~?$$

abhisar · Answer

Wait..that's not giving 2.21??3 Is it?

parthkohli · Answer

That is because the tension is not 1/49 N.|dw:1451981522604:dw|