Measurement of airflow shows the static and stagnation pressures to be 30 and 32 psig, respectively. (Note that these are gage pressures.) Assume that \(p_{\mathrm{amb}}=14.7\) psia and the temperature is \(120^{\circ} \mathrm{F}\).

(a) Find the flow velocity using equation (4.21).

(b) Now assume that the air flow is incompressible and calculate the velocity using equation (3.39).

(c) Repeat parts (a) and (b) for static and stagnation pressures of 30 and \(80 \mathrm{psig}\), respectively.

(d) Can you reach any conclusions concerning when a gas may be treated as a constant-density fluid?