Student Activity Worksheet
Answer Key
Problem # 1 Calculating Friction Loss
If 150 gallons per minute (gpm) is flowing from a nozzle, what is the friction loss for 200 feet
of 2-inch hose?
FL=CQ2L
(Q=150/100) (L=200/100)
FL= 8 x 1.522 x 2
FL= 8 x 2.25 x 2
FL= 18 x 2
FL= 36 psi (pounds per square inch)
Problem # 2 Calculating Friction Loss
If 400 gallons per minute (gpm) is flowing from a nozzle, what is the friction loss for 300 feet
of 4-inch hose?
FL=CQ2L
(Q= 400/100) (L=300/100)
FL= 0.2 x 42 x 3
FL= 0.2 x 16 x 3
FL= 3.2 x 3
FL= 9.6 or 10 psi (pounds per square inch)
Problem # 3 Calculating Friction Loss
If 200 gallons per minute (gpm) is flowing from a nozzle, what is the friction loss for 150 feet
of 2-inch hose?
FL=CQ2L
(Q=200/100) (L=150/100)
FL= 8 x 22 x 1.5
FL= 8 x 4 x 1.5
FL= 32 x 1.5
FL= 48 psi (pounds per square inch)
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F.L.A.M.E.; Fire logistics and Math Education
Problem # 4 Calculating Elevation Pressure
A hoseline operating on the 12th floor of a structure fire is connected to the building’s
standpipe system. What is the elevation pressure at the base of the standpipe system?
EP = 5 x (Number of stories -1)
EP = 5 x (12 – 1)
EP = 5 x 11
EP = 55
Problem # 5 Calculating Elevation Pressure
What would be the elevation pressure loss at the pump for a pumper at the bottom of a 250foot hill supplying a hoseline at the top of the hill?
EP = 0.5H
EP = 0.5 x 250
EP = 125
Problem # 6 Calculating Elevation Pressure
What would be the elevation pressure gain at the pump for a pumper atop of a 150-foot hill
supplying a hoseline at the base of the hill?
EP = 0.5H
EP = 0.5 x 150
EP = 75
Problem # 7 Calculating Total Pressure Loss in Single Hoseline Layouts
A pumper is supplying 150-feet of 13/4-inch hose with a 150 gpm flowing. What is the total
pressure loss in the hose assembly?
TPL = FL ± EP
TPL = 52.3 ± 0
FL = 52.3 = 15.5 x 1.52 x 1.5
TPL = 52.3 or 52
Problem # 8 Calculating Total Pressure Loss in Single Hoseline Layouts
Using the information from problem 7, what is the total pressure loss if the fire situation is
located on the 4th floor of a building?
TPL = FL ± EP
TPL = 52.3 ± 15
FL = 52.3 = 15.5 x 1.52 x 1.5
EP = 15 = 5 x 3
TPL = 67.3 or 67
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F.L.A.M.E.; Fire logistics and Math Education