# Guitar String Pulse

1. Jan 28, 2009

### ahrog

1. The problem statement, all variables and given/known data
The wave speed in a guitar string is 265 m/s. The length of the string is 63 cm. You pluck the center of the string by pulling it up and letting go. Pulses move in both directions and are reflected off the ends of the string.
a) How long does it take for the pulse to move to the string end and return to the center?
b) When the pulses return is the string above or below its resting location?
b) If you plucked the string 15cm from one end of the string, where would the pulses meet?

2. Relevant equations
v=d/t
v=wavelength x frequency
f=1/T

3. The attempt at a solution

a) I got 0.0023773585 which I changed to be 2.4 x 10^-3
b) I think that the pulse would be inverted, so it would be below it's resting position.
c) How do I go about doing this? Should I find the time it takes for each vibration to hit each end, then figure out the rest from there? Or would the vibrations meet 15 cm from the opposite end, because they both travel the same difference?