Friction loss in fire hoses: When water flows inside a hose, the contact of the water with the wall of the hose causes a drop in pressure from the pumper to the nozzle. This drop is known as friction...

Friction loss in fire hoses: When water flows inside a hose, the contact of the water with the wall of the hose causes a drop in pressure from the pumper to the nozzle. This drop is known as friction loss. Although it has come under criticism for lack of accuracy, the most commonly used method for calculating friction loss for flows under 100 gallons per minute uses what is called the underwriter’sformula:

Here F is the friction loss in pounds per square inch, Q is the flow rate in gallons per minute, L is the length of the hose in feet, and D is the diameter of the hose in inches. a. In a 500-foot hose of diameter 1.5 inches, the friction loss is 96 pounds per square inch. What is the flow rate? b. In a 500-foot hose, the friction loss is 80 pounds per square inch when water flows at 65 gallons per minute. What is the diameter of the hose? Round your answer to the nearest 1 8 inch.