A sound wave propagating in water (r = 1030 kg/m3) is described by the following pressure variation wave
where x is in meter and t is in second, and DP is in N/m2.
a. What is the displacement amplitude of this pressure wave?
b. Write the expression for the displacement wave corresponding to this pressure wave.
a. the displacement amplitude is nm.
b. The displacement wave is
a.The relationship between the pressure amplitude and the displacement amplitude is given by
From the pressure variation wave we can identify
The speed of the wave can easily be evaluated using
We can now calculate the displacement amplitude
