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  1. Amplitudemaximum displacement from the equilibrium position of an object oscillating around such equilibrium position; Frequency—number of events per unit of time; Period—time it takes to complete one oscillation; For waves, these variables have the same basic meaning.

  2. Use the wave equation to find the velocity of the resulting wave: $$\begin{split} \frac{\partial^{2} y(x,t)}{\partial x^{2}} & = \frac{1}{v^{2}} \frac{\partial^{2} y(x,t)}{\partial t^{2}}, \\ -Ak^{2} \sin (kx - \omega t) + 4Ak^{2} \sin(2kx + 2 \omega t) & = \frac{1}{v^{2}} \left(-A \omega^{2} \sin (kx - \omega t) - 4A \omega^{2} \sin(2kx + 2 ...

  3. The wave can be described as having a vertical distance of 32 cm from a trough to a crest, a frequency of 2.4 Hz, and a horizontal distance of 48 cm from a crest to the nearest trough. Determine the amplitude, period, and wavelength of such a wave. See Answer.

  4. The amplitude, wave number, and angular frequency can be read directly from the wave equation:

  5. A wave’s amplitude is the maximum distance (positive or negative) a wave reaches from its rest position. Wavelength is the distance between the same spot on two sections of a wave. A wave’s frequency can be measured by how many crests (or how many troughs) pass a location in a certain amount of time.

  6. Amplitude. As waves travel, they set up patterns of disturbance. The amplitude of a wave is its maximum disturbance from its undisturbed position. Key fact. It is important to note that the...

  7. This leads us to one of the most important formulas you will use when studying waves. Frequency tells us how many waves are passing a point per second, the inverse of time. Wavelength tells us the length of those waves in metres, almost like a displacement.

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