# The diagram represents a snapshot of a standing transverse wave on a flexible guitar string taken when the displacement is at a maximum. (Note: the vertical scale is very exaggerated, the actual sideways displacement of the string is negligibly TINY compared to the length of the string!) The string is 1.00 m long with tension 6.00 N. The total mass of the string is 0.012 kg.

What is the formula?

is it "velocity = sqrt(Tension/mu)"

or not?

13 years ago

11 months ago

## Yes, the correct formula to calculate the velocity of the wave on the guitar string is indeed:

velocity = âˆš(Tension/Î¼)

Here, Tension represents the tension in the string and Î¼ represents the linear mass density of the string. The linear mass density (Î¼) is the mass per unit length of the string.

In this case, you are given the tension (6.00 N) and the total mass of the string (0.012 kg). To calculate the linear mass density, you divide the total mass by the length of the string:

Î¼ = mass/length

Î¼ = 0.012 kg / 1.00 m

Î¼ = 0.012 kg/m

Now, you can substitute the values of tension (6.00 N) and Î¼ (0.012 kg/m) into the formula:

velocity = âˆš(6.00 N / 0.012 kg/m)

Simplifying the equation:

velocity = âˆš500 m^2/s^2

velocity â‰ˆ 22.36 m/s

So, the velocity of the wave on the guitar string is approximately 22.36 m/s.