The oscillator that generates a wave completes 47 vibrations in 29.2 s. A given crest of the wave travels 382 cm along the rope in a time period of 10.3 s. What is the wavelength?
To find the wavelength, first calculate the frequency and the velocity of the wave.
f = (47) / (29.2 s) = 1.61 Hz
v = (3.82 m) / (10.3 s) = 0.371 m/s
Then, use this equation to find the wavelength.
λ = v/f
λ = (0.371 m/s) / (1.61 Hz)
λ = 0.23 m or 23 cm