Flow Rate Formula:
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Definition: This calculator estimates the flow rate of water through a hose based on velocity and cross-sectional area.
Purpose: It helps engineers, plumbers, and irrigation specialists determine the gallons per minute (GPM) flowing through a hose or pipe.
The calculator uses the formula:
Where:
Explanation: The velocity multiplied by area gives flow in cubic feet per second, which is then converted to gallons per minute.
Details: Proper flow rate estimation ensures adequate water supply, proper system design, and efficient operation of irrigation or plumbing systems.
Tips: Enter the water velocity in ft/s and the hose's cross-sectional area in ft². All values must be > 0.
Q1: How do I find the cross-sectional area?
A: For circular hoses, use \( A = \pi \times r^2 \) where r is the radius in feet.
Q2: What's a typical water velocity in hoses?
A: Residential systems typically have velocities between 5-10 ft/s, while industrial systems may go higher.
Q3: Why the 448.83 conversion factor?
A: It converts cubic feet per second to gallons per minute (1 ft³/s = 448.83 GPM).
Q4: Does this work for pipes as well as hoses?
A: Yes, the formula applies to any conduit carrying water, regardless of material.
Q5: How does hose diameter affect flow rate?
A: Flow rate increases with the square of the diameter - doubling diameter quadruples flow rate at the same velocity.