# Maxiumum speed of a cork on a wave

1. Feb 16, 2012

### thoradicus

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
v=fλ
f=1/T

3. The attempt at a solution
Is frequency relevant here? Just in case:
v=fλ
.2=f(15x10^-3)
f=40/3Hz
other than that Im not sure where to start...

2. Feb 16, 2012

### technician

You are correct with the frequency.
Do you know what sort of motion the up and down oscillations are?

3. Feb 16, 2012

### HallsofIvy

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?

4. Feb 16, 2012

### thoradicus

1) Up and down?
2)10mm? Since its up and down
3)Not sure..T i think?

Vibratory?

5. Feb 16, 2012

### technician

Vibratory is correct, have you met simple harmonic motion?

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