A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 42.0 vibrations in 20.8 s. A given crest of the wave travels 371 cm along the rope in a time period of 11.6 s. What is the wavelength? Answer in units of m.

15.8 cm

Explanation:

In 20.8 seconds, the number of vibrations = 42

In 1 second, the number of vibrations = 42 / 20.8 = 2.019

Frequency is defined as the number of vibrations in one second.

f = 2.019 Hz

Crest travel 371 cm in 11.6 s

v = 3.71 / 11.6 = 0.319 m / s

Use

v = f x λ

λ = v / f = 0.319 / 2.019 = 0.158 m = 15.8 cm