HVAC CFM Calculator

The new system is the right size on paper, then the callback comes: a back bedroom that never cools, a register that whistles, a coil that ices up. More often than not the cause is airflow, not capacity. This free CFM calculator for HVAC gives you the CFM from BTU/h and temperature split, from tonnage, from a room's air changes or from a duct's size and velocity, and shows the duct that carries it.

Heat load and temperature split
BTU/h
°F

Sensible BTU/h from your load calc, or the furnace output for heating. ΔT is the difference between the return air and the supply air temperature. Cooling is commonly around 18 to 22°F.

Size the duct for this airflow
FPM
in

The result shows the round duct and the rectangular width that carry the CFM at that speed. Branch runs are often designed at lower speeds than the main trunk; use the figure your design calls for. This is a velocity check, not a friction-loss duct design.

Airflow needed

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Same job at other values

Quick answer: the HVAC CFM formula is CFM = BTU/h ÷ (1.08 × ΔT). A 24,000 BTU/h sensible load with a 20°F temperature split needs 24,000 ÷ (1.08 × 20) = 1,111 CFM. The other three ways to get CFM are below.

How to calculate CFM in HVAC

CFM is cubic feet per minute: how much air moves past a point each minute. The calculation of CFM for HVAC work comes down to four questions, depending on what you have in front of you. The calculator has a tab for each.

  • You have the heat load. Use BTU/h and the temperature split between supply and return. This is the one the load calculation feeds.
  • You have the equipment size. Multiply the tonnage by the airflow per ton, about 400 CFM.
  • You have a room and a ventilation target. Use the volume and the air changes per hour.
  • You have a duct. Use the velocity and the cross-section area, either to find the CFM it carries or, working backwards, the size it needs.

HVAC CFM calculation formula

From BTU/h: CFM = BTU/h ÷ (1.08 × ΔT)From tonnage: CFM = tons × CFM per ton (about 400)From a room: CFM = length × width × height × ACH ÷ 60From a duct: CFM = velocity (FPM) × area (sq ft)Round area: area = π × (diameter in ÷ 24)²Rect. area: area = width in × height in ÷ 144

The 1.08 in the first formula is not magic: it is 0.075 lb/ft³ (the density of standard air) × 0.24 BTU/lb·°F (its specific heat) × 60 minutes. It is built for sensible heat at sea level, so treat the answer as a starting point at altitude, where thinner air needs more CFM for the same load.

The calculation, step by step

This is the job the calculator starts with. Every figure is an example to replace with your own.

  1. Take the sensible load. 24,000 BTU/h.
  2. Take the temperature split. 20°F between return and supply air.
  3. Multiply the constant by the split. 1.08 × 20 = 21.6.
  4. Divide the load by it. 24,000 ÷ 21.6 = 1,111 CFM.
  5. Turn it into a duct. At a design velocity of 700 FPM the area is 1,111 ÷ 700 = 1.587 sq ft, a 17.1-inch round duct. The next even size up is 18 inches, which runs at about 629 FPM. As a rectangle 10 inches high it is about 22.9 inches wide.

CFM per ton: the quick check

Before you trust any CFM figure on a system, check it against the tonnage. The usual rule of thumb is about 400 CFM per ton, and 350 to 450 is the commonly quoted range. Many techs go toward the low end in humid climates and the high end in dry ones, but the manufacturer's data for the unit is what counts.

System sizeAt 350 CFM / tonAt 400 CFM / tonAt 450 CFM / ton
1.5 ton525600675
2 ton700800900
2.5 ton8751,0001,125
3 ton1,0501,2001,350
3.5 ton1,2251,4001,575
4 ton1,4001,6001,800
5 ton1,7502,0002,250

HVAC duct CFM calculator: what a duct carries

A duct's capacity is set by its area and how fast the air moves. Push too much air through a small duct and the velocity goes up, and with it the noise and the pressure the blower has to overcome. Go too big and you pay for sheet metal and space you did not need. The table shows what a round duct carries at 700 FPM, a figure often used as a design speed for branch runs; use the velocity your own design calls for.

Round ductAreaCFM at 700 FPM
6 in0.196 sq ft137
8 in0.349 sq ft244
10 in0.545 sq ft382
12 in0.785 sq ft550
14 in1.069 sq ft748
16 in1.396 sq ft977
18 in1.767 sq ft1,237
20 in2.182 sq ft1,527

This is a velocity check, not a duct design. It does not account for friction rate, length, fittings or flex duct, so for a full layout use a ductulator or your duct design software.

CFM for a room from air changes

When the question is how much air to move through a room, not how much heat to carry, use air changes per hour. A 20 × 15 × 8 ft room holds 2,400 cubic feet. Replacing that air 6 times an hour takes 2,400 × 6 ÷ 60 = 240 CFM, or 0.80 CFM per square foot of floor. The air changes you need depend on the room and the code or spec you work to.

An HVAC CFM calculator for your phone

There is nothing to download. This HVAC CFM calculator runs in the browser on a phone, so you can use it in the attic, at the air handler or at the customer's door. Add the page to your home screen and it opens like an app. The result stays at the bottom of the screen while you type, and "Copy a link with these numbers" saves the whole calculation in a link you can text to a coworker.

What this calculator does not do

It does not calculate a heating or cooling load, so it is not a Manual J. It does not select equipment against a manufacturer's performance data or design a duct system with friction losses and fittings. It also takes your numbers at face value, so a wrong ΔT or a wrong BTU figure gives a wrong CFM. Use it for the airflow arithmetic and keep your design tools for the design.

From the airflow to the quote

The airflow is one number on a job. The rest is the price, the schedule and the paperwork. OwnDesk HVAC is the business side of the work: you build the estimate from your own price book, with a takeoff that counts the feet of line set, pounds of refrigerant and feet of duct, rounds them up to whole units and adds an install labor line from your own hours. Then it puts the job on a dispatch board, keeps the maintenance agreements and the equipment installed at each customer, tracks the job's costs and prints the invoice.

It is a one-time payment, not a monthly subscription, and it runs offline on one computer. To be clear about what it is not: it is not load calculation software. It does not run a Manual J, size equipment or design ductwork, and it does not read plans, sync between devices, track vans by GPS or send texts. Keep the calculator and your design tools for sizing, and use OwnDesk HVAC for what happens before and after.

Add this calculator to your website

Run an HVAC training course, a supply house or a site for technicians? You can put this calculator on your own page for free. Paste this code where you want it to appear:

Frequently asked questions

How do you calculate CFM in HVAC?
It depends on what you know. From the heat load, CFM = sensible BTU/h ÷ (1.08 × temperature split in °F). From the equipment, CFM = tons × CFM per ton, usually about 400. From a room, CFM = volume in cubic feet × air changes per hour ÷ 60. From a duct, CFM = air velocity in feet per minute × the duct's cross-section in square feet. The calculator above does all four; pick the tab that matches the numbers you have.
What is the HVAC CFM formula?
The one most people mean is CFM = BTU/h ÷ (1.08 × ΔT). For example, 24,000 BTU/h of sensible heat with a 20°F split needs 24,000 ÷ (1.08 × 20) = 1,111 CFM. The 1.08 is a constant for standard air at sea level, so at high altitude the same load needs somewhat more airflow than this gives.
How many CFM per ton of cooling?
About 400 CFM per ton is the usual rule of thumb, and 350 to 450 is the commonly quoted range: toward 350 in humid climates, where the coil needs to stay colder to remove moisture, and toward 450 in dry ones. A 3-ton system is therefore about 1,200 CFM, or 1,050 to 1,350 across that range. For a real unit, use the airflow the manufacturer lists for it.
What does the 1.08 in the CFM formula mean?
It is air density × the specific heat of air × 60 minutes: 0.075 lb per cubic foot × 0.24 BTU per lb per °F × 60 = 1.08. It converts airflow in cubic feet per minute and a temperature change in °F into sensible BTU per hour. It only covers sensible heat, which is why the formula ignores the moisture the coil removes.
How do I calculate CFM for a duct?
Multiply the air velocity by the area of the duct. Area in square feet is π × (diameter in inches ÷ 24)² for a round duct and width × height ÷ 144 for a rectangular one. A 12-inch round duct has 0.785 sq ft, so at 800 FPM it carries 0.785 × 800 = 628 CFM. If you do not know the velocity, measure it with an anemometer at the register or in the duct.
What size duct do I need for a given CFM?
Divide the CFM by the velocity you are designing for to get the area, then turn the area into a diameter. 1,111 CFM at 700 FPM needs 1.587 sq ft, which is a 17.1-inch round duct. The next even size up is 18 inches, which brings the velocity down to about 629 FPM. As a rectangle 10 inches high it would be about 22.9 inches wide. This checks velocity only; a full duct design also accounts for friction rate, fittings and length.
How do I calculate CFM for a room?
Multiply length × width × height to get the volume in cubic feet, then CFM = volume × air changes per hour ÷ 60. A 20 × 15 × 8 ft room is 2,400 cubic feet, and at 6 air changes per hour that is 2,400 × 6 ÷ 60 = 240 CFM. This is the airflow to replace the room's air, used for ventilation and exhaust. It is not a cooling or heating load, so it does not replace a load calculation.
Is this a Manual J load calculation or a duct design?
No. It is a quick airflow calculator. It does not calculate a heating or cooling load, select equipment or lay out a duct system with friction losses and fittings. Use it for the airflow side of a job once you know the load, to sanity-check a quote or to size a duct run by velocity, and keep your load calculation and duct design tools for the design itself.
Is this HVAC CFM calculator free, and does it work on a phone?
Yes. This HVAC CFM calculator is free, runs in your browser on a phone, tablet or computer, and needs no sign-up or install. Nothing you type is saved on our side. Use "Copy a link with these numbers" to keep a calculation or send it to a coworker, and bookmark the page or add it to your home screen to use it like an app.

Size the airflow here, run the job in OwnDesk HVAC

OwnDesk HVAC builds the estimate from your price book, schedules the job, keeps the customer's equipment on file and sends the invoice. One payment, no monthly fee, runs offline on your computer.

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