Waves on a string: A 6.0-m wire with a mass of 50 g, is under tension. A transverse wave, for which the frequency is 810 Hz, the wavelength is 0.40 m, and the amplitude is 4.0 mm, is propagating on the wire. The time for a crest of this wave to travel the length of the wire is closest to
A) 19 ms.
B) 16 ms.
C) 21 ms.
D) 23 ms.
E) 25 ms.

Question

Quizplus · Accepted Answer

The speed of the wave is given by v = f * lambda = 810 Hz * 0.40 m = 324 m/s. The time for a crest to travel the length of the wire is then t = L/v = 6.0 m / 324 m/s = 0.0185 s = 18.5 ms. The closest choice is A) 19 ms.

Waves on a String: a 6