FCTC Firefighter Math Applications Questions and Answers 3

Question 1

A fire engine pump is supplying water at 150 psi engine pressure through 200 feet of 2.5-inch hose with a friction loss of 15 psi per 100 feet. What is the nozzle pressure?

Accepted Answer

120 psi

Answer

Friction loss = 15 psi × 2 (for 200 ft) = 30 psi; nozzle pressure = 150 − 30 = 120 psi.

Question 2

A storage tank is cylindrical with a diameter of 10 feet and a height of 8 feet. Approximately how many gallons does it hold? (1 cu ft ≈ 7.48 gal)

Accepted Answer

4,712 gallons

Answer

Volume = π × r² × h = 3.14 × 25 × 8 ≈ 628 cu ft; 628 × 7.48 ≈ 4,697 ≈ 4,712 gal.

Question 3

A hose line flows 200 gpm. How many minutes will it take to empty a 3,000-gallon tank?

Accepted Answer

15 minutes

Answer

Time = 3,000 ÷ 200 = 15 minutes.

Question 4

Friction loss in a 1.75-inch hose is 25 psi per 100 feet. A pumper must supply a nozzle pressure of 100 psi through 300 feet of hose. What pump discharge pressure is required?

Accepted Answer

175 psi

Answer

Friction loss = 25 × 3 = 75 psi; pump pressure = 100 + 75 = 175 psi.

Question 5

A ladder truck's aerial ladder is extended 85 feet at a 70° angle. Approximately how high does the tip reach vertically? (sin 70° ≈ 0.94)

Accepted Answer

80 feet

Answer

Vertical height = 85 × sin 70° = 85 × 0.94 ≈ 79.9 ≈ 80 feet.

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FCTC Test Practice Test

FCTC Firefighter Math Applications Questions and Answers 3