Maxiumum speed of a cork on a wave

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Homework Help Overview

The problem involves a cork oscillating in a ripple tank as ripples pass by, with given parameters including wave speed, wavelength, and amplitude. The context is within the subject area of wave motion and oscillatory dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relevance of frequency in determining the cork's motion and its relationship to wave speed. Questions are raised about the nature of the cork's motion, including its direction and the extent of its movement.

Discussion Status

The discussion is actively exploring the relationship between frequency and motion, with some participants confirming the importance of frequency. There is an ongoing inquiry into the type of motion exhibited by the cork, with references to vibratory and simple harmonic motion.

Contextual Notes

Participants are considering the implications of wave parameters on the cork's motion, and there is an emphasis on understanding the oscillatory behavior without reaching a definitive conclusion.

thoradicus
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Homework Statement


A small piece of cork in a ripple tank oscillates up and down as ripples pass it. If the ripples travel at .2m/s have a wavelength of 15mm and amplitude of 5mm, what is the maximum speed of the cork.


Homework Equations


v=fλ
f=1/T



The Attempt at a Solution


Is frequency relevant here? Just in case:
v=fλ
.2=f(15x10^-3)
f=40/3Hz
other than that I am not sure where to start...
 
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You are correct with the frequency.
Do you know what sort of motion the up and down oscillations are?
 
Yes, the frequency is relevant because speed is "distance per time" and frequency (actually 1 over frequency) will tell you how long each cycle takes.
1) What direction does the cork move?
2) How far does the cork move?
3) How long does that motion take?
 
HallsofIvy said:
Yes, the frequency is relevant because speed is "distance per time" and frequency (actually 1 over frequency) will tell you how long each cycle takes.
1) What direction does the cork move?
2) How far does the cork move?
3) How long does that motion take?
1) Up and down?
2)10mm? Since its up and down
3)Not sure..T i think?

technician said:
You are correct with the frequency.
Do you know what sort of motion the up and down oscillations are?
Vibratory?
 
Vibratory is correct, have you met simple harmonic motion?
 

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