the force stretching the D string on a certain guitar is 150 N. the String's linear mass density is .005 Kg/m. What is the speed of waves on the string?
Isn't there a formula for this? What is the law of strings?
http://dev.physicslab.org/Document.aspx?doctype=3&filename=WavesSound_WavesAlongStrings.xml
To determine the speed of waves on a string, we can use the formula:
v = sqrt(T/μ)
Where:
- v is the speed of waves on the string
- T is the tension in the string
- μ is the linear mass density of the string
In this case, the tension T is given as 150 N, and the linear mass density μ is given as 0.005 Kg/m.
To find the speed of waves on the string, we substitute these values into the formula:
v = sqrt(150 N / 0.005 Kg/m)
Now, let's calculate the value:
v = sqrt(30000 m^2/s^2 / 0.005 Kg/m)
v = sqrt(6000000 m^2/s^2 / Kg/m)
v = 2450 m/s
Therefore, the speed of waves on the D string of the guitar is 2450 m/s.