How many 1" solid bore nozzles would it take to deliver the same gallons per minute as a 2" solid bore nozzle?

Conquer the Lafayette Fire Department Captain Test with comprehensive multiple-choice questions and insights. Enhance your understanding with detailed explanations and ace your exam with ease!

To determine how many 1-inch solid bore nozzles it would take to match the flow rate of a 2-inch solid bore nozzle, it is essential to understand the relationship between the size of the nozzle and the flow output, which is often influenced by the cross-sectional area.

The flow rate (gallons per minute) of a nozzle is primarily dependent on its diameter and the pressure supplied. The cross-sectional area of a nozzle is calculated using the formula (A = \pi (d/2)^2), where (d) is the diameter of the nozzle.

For the 2-inch nozzle:

  • The diameter is 2 inches, giving it an area of ( \pi (1)^2 = \pi ) square inches.

For the 1-inch nozzle:

  • The diameter is 1 inch, giving it an area of ( \pi (0.5)^2 = \pi/4 ) square inches.

To find how many 1-inch nozzles are needed to equal the area of the 2-inch nozzle, we set up the equation:

[

\text{Number of 1-inch nozzles} = \frac{\text{Area of 2-inch nozzle}}{\

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