A sinusoidal sound wave moves

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

s(xt) = 1.90 cos(15.9x − 869t)

where s is in micrometres, x is in meters, and t is in seconds.

(a) Find the amplitude of this wave.
____ µm

(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 = 0.049 9 m at t = 2.98 ms.
____ µm

(e) Determine the maximum speed of an element’s oscillatory motion.
____ mm/s

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