A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.08 cos(15.4x - 873t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. 2.08 ✔ μm (b) Find the wavelength of this wave. 40.7 cm (c) Find the speed of this wave. 56.7 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 = 2.90 ms. 1.45 X The equation gives the displacement of the elements as a function of x and t. How do you determine the displacement of a specific element at a specific time, given this information? um (e) Determine the maximum speed of a element's oscillatory motion. 1.81 mm/s

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Chapter1: Units, Trigonometry. And Vectors
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A sinusoidal sound wave moves through a medium and is described by the displacement wave function
s(x, t) = 2.08 cos(15.4x - 873t)
where s is in micrometers, x is in meters, and t is in seconds.
(a) Find the amplitude of this wave.
2.08
✔ μm
(b) Find the wavelength of this wave.
40.7
cm
(c) Find the speed of this wave.
56.7
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 = 2.90 ms.
1.45
X
The equation gives the displacement of the elements as a function of x and t. How do you determine the displacement of a specific element at a specific time, given
this information? um
(e) Determine the maximum speed of a element's oscillatory motion.
1.81
mm/s
Transcribed Image Text:A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.08 cos(15.4x - 873t) where s is in micrometers, x is in meters, and t is in seconds. (a) Find the amplitude of this wave. 2.08 ✔ μm (b) Find the wavelength of this wave. 40.7 cm (c) Find the speed of this wave. 56.7 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 = 2.90 ms. 1.45 X The equation gives the displacement of the elements as a function of x and t. How do you determine the displacement of a specific element at a specific time, given this information? um (e) Determine the maximum speed of a element's oscillatory motion. 1.81 mm/s
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