The Round Duct to Rectangular Calculator is a tool designed to determine the equivalent rectangular duct size when provided with the diameter of a round duct. This calculation is useful for HVAC professionals, engineers, and anyone working with ventilation systems.
Formula of Round Duct to Rectangular Calculator
The formula for calculating the equivalent rectangular duct size involves understanding the cross-sectional area of the round duct and maintaining that area for the equivalent rectangular duct.
The formula is: A=πr2
Where:
- A is the cross-sectional area of the round duct.
- π (pi) is approximately 3.14159.
- r is the radius of the round duct, which is half of the diameter.
Once the cross-sectional area A of the round duct is calculated, finding the equivalent rectangular duct size involves determining the width W and height H using the relationship A=W×H.
The steps to calculate the rectangular duct size:
- Measure the diameter D of the round duct.
- Calculate the radius r by dividing the diameter by 2:r=D/2.
- Calculate the cross-sectional area A of the round duct using the formula A=πr2.
- Determine the width W and height H of the equivalent rectangular duct such that W×H=A.
Table of General Terms
| Term | Definition |
|---|---|
| Round Duct | Circular conduit for air or other substances |
| Rectangular Duct | Duct with a rectangular cross-section |
| Cross-sectional area | Area of a shape when intersected by a plane |
Example of Round Duct to Rectangular Calculator
Suppose you have a round duct with a diameter of 0.5 meters. To find the equivalent rectangular duct size, apply the formula:
- r=0.5/2=0.25 meters (radius)
- A=π×0.252=0.1963 square meters (cross-sectional area)
- Rectangular Width = Rectangular Height = 0.19630.1963 meters ≈ 0.443 meters
Most Common FAQs
Use meters for diameter to maintain consistency in calculations.
Yes, as long as consistent units (e.g., meters) are used for all measurements.