If you double hose length from 100 ft to 200 ft, what happens to total friction loss?

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Multiple Choice

If you double hose length from 100 ft to 200 ft, what happens to total friction loss?

Explanation:
Friction loss along a hose or pipe increases with the distance the fluid travels. For a fixed flow rate and hose diameter, the head loss per unit length is roughly constant, so the total friction loss is proportional to the length. Doubling the length from 100 ft to 200 ft doubles the distance the fluid must overcome friction, increasing the total friction loss by a factor of two. This aligns with the Darcy–Weisbach relation, h_f ≈ f (L/D) (V^2/2g); with D and flow fixed, h_f scales directly with L, so the friction loss doubles.

Friction loss along a hose or pipe increases with the distance the fluid travels. For a fixed flow rate and hose diameter, the head loss per unit length is roughly constant, so the total friction loss is proportional to the length. Doubling the length from 100 ft to 200 ft doubles the distance the fluid must overcome friction, increasing the total friction loss by a factor of two. This aligns with the Darcy–Weisbach relation, h_f ≈ f (L/D) (V^2/2g); with D and flow fixed, h_f scales directly with L, so the friction loss doubles.

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