7. A nail gun operates using pressurized air, which is supplied through a 1/4-in diameter hose. The gun requires 75 psi to operate with a 2.6 ft³/min airflow. If the air compressor develops 90 psi, determine the maximum allowable length of hose that can be used for its operation. Assume in compressible flow and a smooth pipe. Take p=0.000238 slug/ft and v=1.6x104 ft?/s. (Hint: Watch Video “Chapter 8-Type-1 Nail gun.mp4")

Fig: 1