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A sinusoidal sound wave moves through a medium and is described by the displacem

ID: 1330879 • Letter: A

Question

A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 1.99 cos(15.4x - 854t) where s is in micrometers, x is in meters, and t is in seconds. Find the amplitude of this wave. mu m Find the wavelength of this wave. cm Find the speed of this wave. m/s Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.049 9 m at t = 2.92 ms. mu m Determine the maximum speed of a element's oscillatory motion. mm/s

Explanation / Answer

as per chegg guidelines i can only answer three.Please raise different question for other one.

Formula for a sinusoidal wave can be written as

y = A sin(k x + t)

so amplitute is A=1.99m--answer a

b)wavelength=2*pie/k

=2*3.14/15.4

=0.4078 m--answer b

c)speed=w/k

=854/15.4

=55.45 m/sec