Drawing a displacement/time wave

• Jan 16th 2011, 12:17 AM
gbenguse78
Drawing a displacement/time wave
1. The problem statement, all variables and given/known data
Hi
I need help on how to draw Displacement/time waves. I am considering this question:
If a wave is travelling from left to right, draw a diagram of what the wave would look like 10ms later. The amplitude is 0.02 and wavelength is 0.2 m respectively.

2. Relevant equations
Speed = distance/time

3. The attempt at a solution
I can clearly work out the distance which is 0.3m. But I am not sure of the amplitude, shape and wavelength. Can someone please comment?
• Jan 16th 2011, 12:48 AM
Unknown008
I find it strange that you don't have the speed of the wave but managed to get the distance covered within 10 ms...

What you basically need to draw is a sine curve starting at the distance covered on the x axis, going towards the left.

The wavelength is measured on the x-axis and consists of a complete cycle of the sine graph.

The amplitude indicates the maximum and minimum points of the graph. Here, the maximum is 0.02 m and the minimum is -0.02 m.
• Jan 16th 2011, 03:41 AM
gbenguse78
Sorry. the speed wasn't included in the question (Thats by me). So, what happens if the furthest point on the sine curve is 0.3m?
• Jan 16th 2011, 04:03 AM
Unknown008
Yes, as the wavelength is 0.2 m, it means you'll have a cycle and a half drawn.

The resulting graph will be quite similar to the graph of y = 0.02sin(x) between 0 and 0.3 m, with two maxima at 0.5 and 2.5 m and a minimum at 1.5.
• Jan 16th 2011, 07:02 PM
gbenguse78
Thanks. That makes more sense.