How Do You Calculate the Speed of a Wave on a Rope?

[seker]

Homework Statement

A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?

Homework Equations

$$v=\sqrt\frac{F}{m/L}$$

The Attempt at a Solution

Just wanted to see if I am headed in the right direction.

$$v=\sqrt{35/0.075}$$

v= 25 m/s

 

[collinsmark]

Hello seker,

Welcome to Physics Forums!

Homework Statement

A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?

Homework Equations

$$v=\sqrt\frac{F}{m/L}$$

The Attempt at a Solution

Just wanted to see if I am headed in the right direction.

$$v=\sqrt{35/0.075}$$

'Looks right to me so far.

v= 25 m/s

Try calculating that again.

 

[seker]

Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?

 

[collinsmark]

Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?

That looks better.