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A wave traveling in the +x direction has an amplitude of 0.327 m, a speed of 5.35 m/s, and a frequency of 19.5?
A wave traveling in the +x direction has an amplitude of 0.327 m, a speed of 5.35 m/s, and a frequency of 19.5 Hz. Write the equation of the wave
2 Answers
- kirchweyLv 71 decade agoFavorite Answer
y = Asin(θ) = Asin(wt-2πx/lambda), where w = 2πf and lambda = v/f.
Thus in terms of the given values, y = Asin(2πft-2πfx/v) = Asin(2πf(t-x/v))
Note that use of the sine function is an arbitrary choice. It could just as well be the cosine.
EDIT: hello? Don't forget the sin or cos, or you'll have an unlimited y.
- helloLv 61 decade ago
Find the wavelength, lambda, first from v and f. Then equation is y = Amplitude (2Pi"x"/lambda - 2Pifrequency"t")