Question

The equation of a transverse wave traveling on a string is given by y A sin(kx - cot). Data: A-22 mm, k-13 rad/m, - 240 rad/s. What is the amplitude? Submit Answer Tries 0/99 What is the frequency? Submit Answer Tries 0/99 What is the wave velocity? Submit Answer Tries 0/99 What is the wavelen Submit Answer Tries 0/99 For the same wave, find the maximum transverse speed of a particle in the string. Submit Answer Tries 0/99

Answer 1

1) amplitude A =22 mm = 22*10^-3 m

2) frequency f = $\omega$ /2 $\pi$ = 240/(2 $\pi$ ) = 38.19 Hz

3) velocity = $\omega$ /k = 240/13 = 18.46 m/s

4) wavelength $\lambda$ = 2 $\pi$ /k = 2 $\pi$ /13 = 0.483 m

5) For a particle undergoing simple hormonic motion , its max speed v = $\omega$ A = 240 * 22*10^-3 = 5.28 m/s