Calculating Wave Speeds of Steel Guitar Strings

[Ignis Radiis]

Homework Statement

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ration of the wave speeds, V_A / V_B
in these two strings.

Homework Equations

V= ƒ λ
F_T = F_G

The Attempt at a Solution

I'm lost on where to start...

 

[haruspex]

Homework Statement

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ration of the wave speeds, V_A / V_B
in these two strings.

Homework Equations

V= ƒ λ
F_T = F_G

The Attempt at a Solution

I'm lost on where to start...

Amongst your standard equations, you should have one that relates wave speed in a string/wire to tension and mass per unit length.

 

[utkarsh009]

Homework Statement

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ration of the wave speeds, V_A / V_B
in these two strings.

Homework Equations

V= ƒ λ
F_T = F_G

The Attempt at a Solution

I'm lost on where to start...

v=√(T/¢)
T= tension in wire
¢= mass per unit length