Which calculation should be performed to find velocity if 10 gpm is flowing through a pipe?

To find the velocity of water flowing through a pipe, one common approach involves the relationship between flow rate, cross-sectional area, and velocity. The equation for flow rate (Q) is:

[ Q = A \times V ]

where ( A ) is the cross-sectional area of the pipe and ( V ) is the velocity. The area ( A ) for a circular pipe can be represented as:

[ A = \frac{\pi \times (d/2)^2}{4} ]

or simply as

[ A = \frac{\pi \times d^2}{4} ]

Thus, when rearranging the equation to find velocity, you'd use:

[ V = \frac{Q}{A} ]

Substituting the area formula into the equation gives:

[ V = \frac{4Q}{\pi \times d^2} ]

This formula effectively means you square the diameter, multiply it by a constant (which typically includes (\pi) and is adjusted based on the unit conversions), and then divide this by the flow rate to find the velocity. Therefore, the calculation indicated in the correct response aligns with this process.

In practical terms, if you are given a