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In this lab, you will take measurements to determine how the amplitude and the period of waves are affected by the transfer of energy from a cork dropped into the water. The cork initially has some potential energy when it is held above the water—the greater the height, the higher the potential energy.
The wave equation \(\frac{\partial^{2} y(x,t)}{\partial x^{2}} = \frac{1}{v^{2}} \frac{\partial^{2} y(x,t)}{\partial t^{2}}\) works for any wave of the form y(x, t) = f(x ∓ vt). In the previous section, we stated that a cosine function could also be used to model a simple harmonic mechanical wave.
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.
Learn about how waves are measured according to amplitude, wavelength and frequency.
Amplitude, frequency, wavenumber, and phase shift are properties of waves that govern their physical behavior. Each describes a separate parameter in the most general solution of the wave equation. Together, these properties account for a wide range of phenomena such as loudness, color, pitch, diffraction, and interference.
The amplitude, wave number, and angular frequency can be read directly from the wave equation:
Wave features. 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...
