A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.18 cos(16.2x - 894t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. um (b) Find the wavelength of this wave. cm (c) Find the speed of this wave. m/s

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter17: Traveling Waves
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A sinusoidal sound wave moves through a medium and is described by the displacement wave function
s(x, t) = 2.18 cos(16.2x - 894t)
where s is in micrometers, x is in meters, and t is in seconds.
(a) Find the amplitude of this wave.
um
(b) Find the wavelength of this wave.
cm
(c) Find the speed of this wave.
m/s
(d) Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.050 7 m at t = 3.03 ms.
(e) Determine the maximum speed of a element's oscillatory motion.
mm/s
Transcribed Image Text:A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.18 cos(16.2x - 894t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. um (b) Find the wavelength of this wave. cm (c) Find the speed of this wave. m/s (d) Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.050 7 m at t = 3.03 ms. (e) Determine the maximum speed of a element's oscillatory motion. mm/s
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