If the shock-wave velocity in problem is approximated by

Question

If the shock-wave velocity in Problem is approximated by the speed of sound, determine the pressure change causing a velocity change of 10 fps in
(a) air at standard conditions;

(b) water.

Problem:-
The shock wave illustrated below is moving to the right at vw fps. The properties in front and in back of the shock are not a function of time. By using the illustrated control volume, show that the pressure difference across the shock is
P₂ - P₁ = Ρ₁v_wv₂