A wave on a string is y = 0.30 sin(2.0x - 50t), with x in m and t in s…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A wave on a string is , with in m and in s. A crest is at m at . Find the wave speed, and find where that crest is at s.
Need a reminder? The key ideaShow
A travelling wave is with and . Its speed is . A crest is where , so it moves at the speed . x[np.argmax(y)] finds the first crest in code.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Read the numbers. rad/m and rad/s.
Step 2. The speed. m/s.
Step 3. The move. In s the crest moves m.
Step 4. The new place. m. The height there is m, so it is still a crest.
Answer: m/s, and the crest is at m.
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