A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 27.0 s. A given maximum of the wave travels 455 cm along the rope in a time period of 10.0 s. What is the wavelength?

Use the wave equation

frequency*wavelength=velociyt

You are given the frequency (40/27) and velocity (4.55m/10s)

wavelength= .307m

To find the wavelength of a wave, you need to know the frequency of the wave and the speed at which it is traveling.

The frequency (f) of a wave is the number of vibrations or oscillations completed in one second. In this case, the oscillator completes 40.0 vibrations in 27.0 seconds. So, the frequency can be calculated as:

f = 40.0 vibrations / 27.0 s

To find the speed (v) of the wave, you can use the formula:

v = λ * f

where λ is the wavelength.

Given that a given maximum (also known as a crest or a trough) of the wave travels 455 cm in a time period of 10.0 seconds, we can calculate the speed of the wave as:

v = 455 cm / 10.0 s

Now, we can equate the two expressions for the speed and solve for the wavelength:

v = λ * f
455 cm / 10.0 s = λ * (40.0 vibrations / 27.0 s)

To isolate the wavelength (λ), we rearrange the equation:

λ = (455 cm / 10.0 s) * (27.0 s / 40.0 vibrations)

Now, plug in the given values and calculate:

λ = (455 cm / 10.0 s) * (27.0 s / 40.0 vibrations)

couldnt tell you