- #1

greg_rack

Gold Member

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- Homework Statement
- A transverse wave traveling through a medium has a frequency of 5.0 Hz, a wavelength of

4.0 cm and an amplitude of 3.0 cm.

What is the total distance traveled by a particle of the medium in one minute?

- Relevant Equations
- ##v=\lambda f##

##f=\frac{1}{T}##

Taken into account the transverse nature of the wave, I deduce the particle must move of harmonic motion from maximum amplitude ##A## to negative maximum amplitude ##-A##.

The period ##T=\frac{1}{f}## is equal to the time in which a particle travels a distance ##d=3\cdot A##. I then approximated the mean vertical velocity of the particle ##v_{y}=\frac{3\cdot A}{T}##.

Then, multiplying this result per 60 seconds, I should find the distance traveled in a minute... but the result I get is wrong.

There must be a problem with the mean velocity...

The period ##T=\frac{1}{f}## is equal to the time in which a particle travels a distance ##d=3\cdot A##. I then approximated the mean vertical velocity of the particle ##v_{y}=\frac{3\cdot A}{T}##.

Then, multiplying this result per 60 seconds, I should find the distance traveled in a minute... but the result I get is wrong.

There must be a problem with the mean velocity...