A wave on a string is described by the equation y(x,t) = 4.2 cos (3000 rad/s t + 5.0 rad/m x)
where t is measured in s and x is measured in mm.
(a) What is the amplitude of this wave?
(b) What are the frequency and wavelength of the wave?
(c) What is the velocity of the wave?
(a) "A=4.2\\ m."
(b)
"f=\\dfrac{\\omega}{2\\pi}=\\dfrac{3000\\ \\dfrac{rad}{s}}{2\\pi}=477.5\\ Hz.""\\lambda=\\dfrac{2\\pi}{k}=\\dfrac{2\\pi}{5.0\\ \\dfrac{rad}{m}}=1.26\\ m."(c)
"v=f\\lambda=477.5\\ Hz\\cdot1.26\\ m=602\\ \\dfrac{m}{s}."
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