Water usually is assumed to be incompressible when evaluating static pressure variations. Actually it is 100 times more compressible than steel. Assuming the bulk modulus of water is constant, compute the percentage change in density for water raised to a gage pressure of \(100 \mathrm{~atm}\). Plot the percentage change in water density as a function of \(p / p_{\text {atm }}\) up to a pressure of \(50,000 \mathrm{psi}\), which is the approximate pressure used for high-speed cutting jets of water to cut concrete and other composite materials. Would constant density be a reasonable assumption for engineering calculations for cutting jets?