A sound wave
propagating in water (r
= 1030 kg/m^{3}) is described by the following pressure variation
wave;

where x is in meter and
t is in second, and DP
is
in N/m^{2}.

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.

Answer

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:

Example 1

2-3 Traveling sound waves