Register to reply

Waves on water

Share this thread:
Jan10-14, 06:40 PM
P: 12
1. The problem statement, all variables and given/known data

A water wave traveling in a straight line on a lake is described by the equation
where [itex]y[/itex] is the displacement perpendicular to the undisturbed surface of the lake.

How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor?

What horizontal distance does the wave crest travel in that time?
2. Relevant equations

[itex]\omega = 2\pi f[/itex]

3. The attempt at a solution

This is part of an online test we were asked to submit. For the first part I got [itex]t=1.16\,\text{s}[/itex] which was correct. For the second part I got the wavelength as the answer, [itex]\lambda = \frac{2\pi}{0.0045} \approx 1396\,\text{m}[/itex]. However, the online assessment tells me that the correct answer is [itex]0.140\,\text{m}[/itex].

Can anyone explain where I went wrong?

(This is also question 15.10 in University Physics with Modern Physics International Edition, 13th Edition, if anyone should happen to have the solution manual to such a thing)
Phys.Org News Partner Science news on
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
Jan10-14, 08:07 PM
Sci Advisor
HW Helper
P: 9,928
Your error is in converting 0.450cm−1 to m-1. You've handled it as though converting from cm to m.

Register to reply

Related Discussions
Light waves, photons; sound waves, phonons; water waves, hydrons ? Quantum Physics 5
Water waves slower in shallow water, why? General Physics 0
Water waves accelerate in deeper water. General Physics 3
Water Electrolysis and Water Dissociation with RF waves General Physics 1
Why will ultrasonic waves not interfere with other sound waves in water? Introductory Physics Homework 1