For a 1 inch pipe, what is the maximum flow rate to ensure it stays below 5 feet per second?

To determine the maximum flow rate for a 1-inch pipe that keeps the velocity below 5 feet per second, it is important to utilize the relationship between flow rate, pipe diameter, and fluid velocity.

A 1-inch diameter pipe has specific flow characteristics governed by its diameter. The flow velocity (in feet per second) can be calculated using the formula:

[ Q = A \times v ]

Where:

• ( Q ) is the flow rate (in cubic feet per second),
• ( A ) is the cross-sectional area of the pipe (in square feet),
• ( v ) is the velocity (in feet per second).

For a 1-inch diameter pipe, the cross-sectional area can be calculated as follows:

The radius (in feet) is: [ r = \frac{1 \text{ inch}}{2} = \frac{1 \text{ inch}}{12 \text{ inches/foot}} = \frac{1}{24} \text{ feet} ]

The area ( A ) is then: [ A = \pi r^2 = \pi \left( \frac{1}{24} \right)^2 \approx 0.052