Problem 3.1 (20 points):
Consider a pressure wave propagating through water of the form:
p(t, z) = 400 \times cos(2\pi \times 2.5 \times 10^6 \times t + 105 \times z) kPa
where t is in seconds and z is in cm.
a) Find: k, f, \omega, c, \lambda, T (the period), and the direction of propagation. Be sure to include correct units for
each quantity. 5 points
b) Given that the density of water is 1000 kg/m$^3$, compute the particle velocity and particle displacement in
this fluid including correct units. You should provide an equation for both particle velocity and
displacement. 5 points
c) How does the pressure amplitude of the pressure wave compare to atmospheric pressure? Comment in 1
sentence. 5 points
d) Compute the intensity of the acoustic wave including correct units. 5 points
