Question #38351

A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 36.0 s. A given maximum of the wave travels 395 cm along the rope in a time period of 10.0 s. What is the wavelength?

Expert's answer

The wavelength λ of a sinusoidal waveform travelling at constant speed v is given by:

λ = v / f,

where f is the wave's frequency.

Using the data given:

f = 40.0 / 36.0 = 1.11 Hz

As 395 cm = 3.95 m:

v = 3.95 / 10.0 = 0.395 m/s

So, the wavelength λ = 0.395 / 1.11 = 0.356 m.

Answer: 0.356 m.

λ = v / f,

where f is the wave's frequency.

Using the data given:

f = 40.0 / 36.0 = 1.11 Hz

As 395 cm = 3.95 m:

v = 3.95 / 10.0 = 0.395 m/s

So, the wavelength λ = 0.395 / 1.11 = 0.356 m.

Answer: 0.356 m.

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