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Asha draws a wave of wavelength 2.0 m and frequency 3.0 Hz…

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Asha draws a wave of wavelength $2.0$ m and frequency $3.0$ Hz. She writes k = 2 * np.pi / lam but then w = f, and her wave is A * np.sin(k * x - w * t). What speed does her wave really have? What speed should it have?

Need a reminder? The key ideaShow

A travelling wave is $y = A\sin(kx - \omega t)$ with $k = 2\pi/\lambda$ and $\omega = 2\pi f$ . Its speed is $v = f\lambda = \omega/k$ . A crest is where $kx - \omega t = \dfrac{\pi}{2}$ , so it moves at the speed $v$ . 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.

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