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  1. Define amplitude, frequency, period, wavelength, and velocity of a wave; Relate wave frequency, period, wavelength, and velocity; Solve problems involving wave properties

  2. The point where » = +A is typically called the \crest" of the wave and the point where » = ¡A is called the \trough" of the wave.2 The distance from crest to crest (or trough to trough) is called the \wavelength," the distance between points on the wave which have the same phase at the same instant of time.

  3. 1. On an impervious boundary B (x; y; z; t) = 0, we have KBC: @Á * 3 ́ 3 ́ *v ¢ ^n = rÁ ¢ ^n = = U *x; t ¢ ^n *x; t = Un on B = 0 @n. Alternatively: a particle P on B remains on B, i.e. B is a material surface; e.g. if P is on B at. t = t0, i.e.

  4. In the previous section, we described periodic waves by their characteristics of wavelength, period, amplitude, and wave speed of the wave. Waves can also be described by the motion of the particles of the medium through which the waves move.

  5. The mathematical equation of a standing wave is y(x,t) = sin(2 πx/ λ) cos(2 πft). The “shape” term sin(2 πx/ λ) describes the sinusoidal shape of the wave pattern of wavelength λ. The “flip-flop” term cos(2 πft) describes the up-down oscillatory motion of each wave segment at frequency f.

  6. Where smax is the maximum position of the element relative to equilibrium, also called the amplitude of the wave. This is directly related to the function defining the variation in pressure of the gas ∆P, given by ∆P = ∆Pmax sin(kx−ωt) So a sound wave can be considered as either a displacement wave or a pressure wave, with the pressure

  7. A progressive wave is a type of wave that transfers energy without transferring material. Intensity is the power (energy transferred per unit time) per unit area, and can be calculated using the equation below: I = P. A. Where P is the power and A is the area.

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