- #1
vetgirl1990
- 85
- 3
Homework Statement
A guitar player is plucking a strong of length 30cm. How fast must the player move towards or away from the stationary observer, in order for the observer to mistake the fundamental frequency for the second harmonic?
ANSWER: 2(Vsound) towards the observer
Homework Equations
Frequency for string fixed on both ends: f = 2n/vL
Doppler effect for source moving towards stationary observer (observer will hear higher frequency):
f" = vsound / vsound - Vsource
The Attempt at a Solution
f = 2n/vL = 2(1) / 343(0.3) = 205.8 Hz for the fundamental frequency --> set as f in the doppler equation
f = 2(2) / 343(0.3) = 411.5Hz for the second harmonic --> set as f" in the doppler equation
411.6 = 343 (205.8) / (343-vsound)
Vsound = 171.5 m/s = 1/2 vsound
I am getting 1/2 the speed of sound, rather than 2x the speed of sound which is the answer. What am I doing wrong?