A hose with 500 gpm friction loss 4 psi, if flow increases to 1000 gpm, the friction loss becomes?

A hose with 500 gpm friction loss 4 psi, if flow increases to 1000 gpm, the friction loss becomes?

• A. 8 PSI
• B. 12 PSI
• C. 16 PSI
• D. 20 PSI

Answer: (C)

Friction loss in a fixed hose scales with the square of the flow. When you double the flow from 500 gpm to 1000 gpm, the friction loss increases by 2^2, which is 4 times. So 4 psi becomes 4 × 4 = 16 psi. This square relationship comes from how velocity and turbulence in the hose rise with flow, causing energy losses to grow more quickly than the flow itself. Therefore the friction loss at 1000 gpm is 16 psi. The other numbers would require a linear or different scaling with flow, which doesn’t match how hose friction behaves.

Friction loss in a fixed hose scales with the square of the flow. When you double the flow from 500 gpm to 1000 gpm, the friction loss increases by 2^2, which is 4 times. So 4 psi becomes 4 × 4 = 16 psi. This square relationship comes from how velocity and turbulence in the hose rise with flow, causing energy losses to grow more quickly than the flow itself. Therefore the friction loss at 1000 gpm is 16 psi. The other numbers would require a linear or different scaling with flow, which doesn’t match how hose friction behaves.