Mathematics of traveling waves: A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y of the string is given by y = 0.0020 cos[π(15x - 52t)], where all quantities are in SI units. The maximum speed of a particle of the string is closest to
A) 0.33 m/s.
B) 0.43 m/s.
C) 0.53 m/s.
D) 0.64 m/s.
E) 0.74 m/s.

Question

Quizplus · Accepted Answer

The maximum speed of a particle of the string is given by the amplitude of the wave times the angular frequency. The amplitude of the wave is 0.0020 m and the angular frequency is 52 rad/s. Therefore, the maximum speed of a particle of the string is 0.0020 m * 52 rad/s = 0.104 m/s.

Mathematics of Traveling Waves: a Transverse Wave Is Traveling on a String