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Define amplitude, frequency, period, wavelength, and velocity of a wave; Relate wave frequency, period, wavelength, and velocity; Solve problems involving wave properties
Write an equation for the wave as a function of position and time. A wave is modeled with the function y (x, t) = (0.25 m) cos (0.30 m −1 x − 0.90 s −1 t + π 3). Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) initial phase shift, (f) wavelength, and (g) period of the wave.
27 Αυγ 2016 · It shows you how to calculate the wavelength, period, frequency, and amplitude of a wave directly from sinusoidal or sine wave graph. This video contains plenty of notes, equations /...
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.
Analyze standing wave situations to relate the frequency, wavelength, speed harmonic pattern (or number), and the number of vibrations in a given amount of time. Includes 7 problems.
1. The amplitude, wave number, and angular frequency can be read directly from the wave equation: \begin{align*} y(x, t)=& A \sin (k x-w t)=0.2 \: \mathrm{m} \sin \left(6.28 \: \mathrm{m}^{-1} x-1.57 \: \mathrm{s}^{-1} t\right) \nonumber \\ &\left(A=0.2 \: \mathrm{m} ; k=6.28 \: \mathrm{m}^{-1} ; \omega=1.57 \: \mathrm{s}^{-1}\right) \nonumber
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.
