A 10-gram wire that is 6.0 m long is under tension. When a transverse wave of frequency 280 Hz travels along the wire, its wavelength is 0.60 m,and its amplitude is 8.4 mm. How much time does
It take for a crest of the transverse wave to travel the length of the wire?
A) 49 ms
B) 36 ms
C) 40 ms
D) 44 ms
E) 31 ms

Question

Quizplus · Accepted Answer

The time it takes for a crest to travel the length of the wire can be found by dividing the length of the wire by the speed of the wave. The speed of the wave (v) can be calculated using the formula v = fλ, where f is the frequency and λ is the wavelength. Here, f = 280 Hz and λ = 0.60 m, so v = 280 * 0.60 = 168 m/s. The time (t) to travel the length of the wire (L = 6.0 m) is t = L/v = 6.0 / 168 = 0.0357 s, which is approximately 36 ms.

A 10-Gram Wire That Is 6