What is the pressure at a sprinkler head with a flow of 33 gpm (125 L/min) with a K-factor of 5.6 (80)?

What is the pressure at a sprinkler head with a flow of 33 gpm (125 L/min) with a K-factor of 5.6 (80)?
A . 15.2 psi (1.1 bar)
B . 22.3 psi (1.54 bar)
C . 34.7 psi (2.4 bar)
D . 54.8 psi (3.78 bar)

View Answer

Answer: B

Explanation:

The pressure at a sprinkler can be calculated using the formula P=Q²/K², where P is the pressure in psi, Q is the flow rate in gpm, and K is the K-factor of the sprinkler. Substituting the given values (Q=33 gpm, K=5.6) yields a pressure of approximately 22.3 psi.

Reference: Basic hydraulic principles applied in the design and analysis of sprinkler systems as outlined in NFPA 13.