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CFM – Cubic Feet per Minute Calculator

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Calculate airflow in cubic feet per minute (CFM) from air velocity in feet per minute (FPM) and cross-sectional area in square feet.

Airflow Volume (CFM, FPM, Area) Calculator

Input Fields
fpm
fpm
area
ft²
If enabled, the result will update automatically when you change any value.

Cubic Feet per Minute (CFM) Formula

Formula
\[ \begin{aligned} \text{CFM} &= \text{FPM} \times \text{Area} \\ \text{FPM} &= \frac{\text{CFM}}{\text{Area}} \\ \text{Area} &= \frac{\text{CFM}}{\text{FPM}} \end{aligned} \]

Where:

  • \(\text{CFM}\) — volumetric airflow in cubic feet per minute.
  • \(\text{FPM}\) — average air velocity through the opening in feet per minute.
  • \(\text{Area}\) — cross-sectional area of the opening in square feet.

Airflow equals average velocity multiplied by the area the air passes through. The rearranged equations solve for velocity or area when CFM and the other value are known.

Cubic Feet per Minute (CFM) – Calculation Example

Example: air moves through a duct with a cross-sectional area of 2 ft² at an average velocity of 500 fpm.

\[ \text{CFM} = 500\ \text{ft/min} \times 2\ \text{ft}^2 = 1{,}000\ \text{ft}^3/\text{min} \]

Result: the airflow is 1,000 cfm.

How to use the calculator

  1. Set Calculation Mode to Calculate CFM.
  2. Enter the average air velocity in FPM (Feet per Minute).
  3. Enter the cross-sectional opening size in Area, measured in ft².
  4. Read the airflow under Result, in cfm. The result is rounded to two decimal places.

The Calculation Mode menu also lists Calculate FPM and Calculate Area. Both calculations require a known CFM value, but the current interface hides the CFM field. It also hides another required input in each of those modes. Consequently, the reverse modes may not produce a usable result from the visible fields. To work backward, use the rearranged equations in the formula block with your known values.

What CFM tells you about airflow

CFM is a volume flow rate: it describes how many cubic feet of air pass through a cross-section each minute. FPM describes speed, not volume. At the same average velocity, a larger opening carries more air; through the same opening, a higher average velocity carries more air. That is why both velocity and area are needed to calculate CFM.

The area in this equation is the cross-section perpendicular to airflow, such as the open face of a duct or vent. It is not the floor area of a room. For a rectangular opening, multiply its inside width by its inside height. For a circular opening, use \(\text{Area}=\pi d^2/4\), where \(d\) is the inside diameter. Measure dimensions in feet to obtain ft²; if dimensions are in inches, calculate the area in square inches and divide by 144.

A calculated CFM is the flow through the opening at the velocity you entered. It does not, by itself, establish how much ventilation a room needs. Required airflow depends on the application and may be governed by occupancy, equipment specifications, ventilation standards, or local requirements. Likewise, an airflow measured at one duct section should not automatically be treated as the flow delivered at every outlet.

Measurement tips and limitations

  • Use average velocity. Air often moves faster near the center of a duct than near its walls. A single spot reading may not represent the full cross-section; several measurements across the opening can give a better average.
  • Use the effective opening. For a duct, use its internal cross-sectional dimensions. A grille’s outside dimensions may overstate the space air can pass through because the frame and blades occupy part of the opening.
  • Keep units consistent. The calculator expects fpm and ft². If you measured a length in meters, convert it to feet before calculating an area in ft². The meters-to-feet converter can help with that step.
  • Do not divide by zero. Calculating FPM requires an area greater than zero; calculating area requires an FPM greater than zero. Zero velocity or zero area gives zero CFM in the forward equation.
  • Allow for real-system losses. This equation relates velocity and area at the point of measurement. It does not predict fan performance or account for duct resistance, leaks, filters, or changes in air density. If you need to express a measured volume in another unit, use the volume unit converter; remember that CFM is a rate, so the time unit must be converted as well.

Frequently Asked Questions

How do I calculate CFM by hand for a round duct?

Find the duct’s internal area, then multiply it by the average air velocity. For an 8-inch-diameter duct, the diameter is \(8/12\) ft and the area is about \(0.349\) ft². At 600 fpm, the airflow is \(600\times0.349\approx209\) cfm. Use the inside diameter, since duct walls do not carry air.

What is a good CFM for a room?

There is no single good CFM for every room. The appropriate airflow depends on the room’s size, occupancy, use, and whether you need outdoor ventilation, heating, or cooling. A calculated flow through a duct is not necessarily fresh air delivered to the room. For ventilation requirements, check the applicable building standard or local code.

How do I convert CFM to cubic meters per hour or liters per second?

Multiply CFM by approximately 1.699 to get cubic meters per hour (m³/h), or by 0.472 to get liters per second (L/s). For example, 100 cfm is about 169.9 m³/h or 47.2 L/s. These conversions change the volume and time units; they do not change the airflow itself.

How are CFM and air changes per hour (ACH) related?

Air changes per hour compares an airflow rate with a room’s volume: \(\text{ACH}=60\times\text{CFM}/\text{room volume in ft}^3\). For example, 100 cfm supplied to a 1,200 ft³ room equals 5 ACH. This is a flow-to-volume calculation, not a guarantee that air mixes evenly. Recirculated air also should not be counted as outdoor-air ventilation.

Why might measured CFM be lower than a fan’s advertised CFM?

A fan’s advertised airflow may be measured under different conditions from those in your installation. Ductwork, bends, filters, and grilles add resistance, which can reduce the flow the fan delivers. Compare fan ratings at the relevant static pressure rather than relying only on a maximum or free-air CFM rating.

Can I add the CFM from several vents together?

Yes, you can add measured CFM values to estimate total flow from several supply vents, provided the measurements represent the same operating condition. Avoid adding a main duct measurement to its downstream vent measurements, because that counts the same air twice. Supply and return totals can also differ because of leakage, measurement error, or airflow through other openings.

What is the difference between actual CFM and standard CFM (SCFM)?

Actual CFM describes the volume flowing under the conditions at the measurement point. SCFM expresses that flow as an equivalent volume at specified reference conditions. Temperature, pressure, and humidity can affect the conversion, so a CFM value cannot reliably be converted to SCFM without those conditions and the chosen reference standard. The velocity-times-area calculation gives actual volumetric flow at the opening.

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