The mathematical forms for the three sinusoidal traveling waves are gives by
Wave 1: y(x,t) = (2 cm) sin (3x - 6t)
Wave 2: y(x,t) = (3 cm) sin (4x - 12t)
Wave 3: y(x,t) = (4 cm) sin (5x - 11t)
Where x is in meters and t is in seconds. Of these waves:
A) wave 1 has the greatest wave speed and the greatest maximum transverse string speed
B) wave 2 has the greatest wave speed and wave 1 has the greatest maxmium transverse string speed
C) wave 3 has the greatest wave speed and the greatest maximum transverse string speed
D) wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
E) wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed

Question

Quizplus · Accepted Answer

Wave speed is given by ω/k. Wave 2 has the greatest wave speed (12/4 = 3 m/s). Maximum transverse speed is given by Aω. Wave 3 has the greatest maximum transverse string speed (4 cm * 11 rad/s = 44 cm/s).

The Mathematical Forms for the Three Sinusoidal Traveling Waves Are