If a hose has a flow rate of 500 gpm with a friction loss of 4 psi, what will be the friction loss if the flow rate increases to 1,000 gpm?

To understand why the friction loss increases when the flow rate in the hose is doubled, it's important to recall the relationship between flow rate and friction loss in hoses. Friction loss in a hose is typically calculated using the formula that relates friction loss to the square of the flow rate.

When the flow rate is increased, the friction loss is determined by the equation:

[ \text{Friction Loss} = k \times Q^2 ]

where ( k ) is a constant dependent on the hose's internal diameter and material, and ( Q ) is the flow rate. This means that if the flow rate doubles, the friction loss does not simply double; it actually increases by a factor of four because of the square relationship.

In this scenario, when the flow rate increases from 500 gpm to 1,000 gpm, the flow rate is doubled. Therefore, the friction loss can be calculated as follows:

• Initial friction loss at 500 gpm is 4 psi.

• When the flow rate increases to 1,000 gpm, friction loss becomes:

[ \text{New Friction Loss} = 4 \psi \times (2^2) = 4 \psi \times