Question
It's a 3 part question.
A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t) = 2.30 mm cos[(6.98 rad/m)x + (742 rad/s)t]. Being more pratical-minded, you messure the rope to have a length of 1.35 m and a mass of 3.38 grams. Assume that the ends of the rope are held fixed and that there is both this traveling wave and the reflected wave traveling in the opposite direction. What is the wavefunction y(x,t) for the standing wave that is produced? In which harmonic is the standing wave oscillating? What is the frequency of the fundamental oscillation?
Explanation / Answer
B)
C) W = 2*pi*f = 72 rad/s=====> f = 72/ 6.28 = 11.46 Hz