Calculate fan power, airflow, static pressure, brake horsepower, and energy cost with fan affinity laws, efficiency analysis, and RPM scaling.
The fan calculator determines the power requirements for moving air through a duct system based on airflow volume, static pressure, and fan/motor efficiencies. Whether you are sizing a bathroom exhaust fan, an HVAC blower, or an industrial ventilation system, this tool computes air horsepower, brake horsepower, electrical input power, and annual operating costs.
Fan selection involves balancing airflow capacity (CFM), pressure capability (static pressure), noise, efficiency, and cost. The fan affinity laws show how performance scales with speed — doubling RPM doubles flow but requires eight times the power, making speed control a powerful energy-saving strategy. Modern variable-frequency drives (VFDs) exploit this cubic relationship to dramatically reduce energy consumption in variable-load applications.
This calculator supports centrifugal, axial, mixed-flow, and crossflow fan types, computes specific fan power for energy code compliance, estimates sound power levels, and produces a complete fan affinity scaling table. It also accounts for altitude effects on air density and adjusts pressure requirements accordingly.
Fan sizing calculations are critical for HVAC design, industrial ventilation, cleanroom systems, and any application involving forced air movement. This calculator combines the essential power calculations with fan law scaling, giving engineers and contractors a complete picture of fan performance and operating costs in one tool.
Air horsepower: AHP = (CFM × SP) / 6,356. Brake horsepower: BHP = AHP / η_fan. Motor power: P_motor = BHP / η_motor. Fan affinity laws: Q₂/Q₁ = N₂/N₁, SP₂/SP₁ = (N₂/N₁)², HP₂/HP₁ = (N₂/N₁)³. Specific fan power: SFP = P_motor / Q (W per m³/s).
Result: Air HP = 0.157, Brake HP = 0.242, Motor = 0.269 HP (200 W)
A 2000 CFM fan against 0.5 in. w.g. static pressure needs 0.157 air HP. At 65% fan and 90% motor efficiency, the electrical input is about 200 W, costing ~$210/year if running continuously.
Fan performance changes quickly with speed, duct losses, and filter condition. Small reductions in static pressure or RPM can materially lower electrical demand because fan power follows the cube law.
Do not mix free-air ratings with installed-system conditions. A fan that looks adequate on a catalog curve can underperform once ducts, dampers, grilles, and dirty filters are included.
The power result is most useful as a comparison tool. It helps identify whether a larger fan, a different fan type, or variable-speed control will be the better fit for the target airflow and noise level.
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CFM measures volume of air moved per minute. Static pressure (in inches of water gauge) measures the resistance the fan must overcome — longer ducts, filters, and dampers increase static pressure.
Three relationships for a given fan: Flow ∝ RPM, Pressure ∝ RPM², Power ∝ RPM³. This means reducing speed by 20% reduces power by nearly 50% — the basis for energy savings with VFDs.
SFP is the electrical power input divided by volumetric flow rate (W per m³/s). Energy codes like ASHRAE 90.1 set maximum SFP limits to ensure efficient ventilation system design.
Centrifugal fans handle higher static pressure (duct systems, filters). Axial fans move more air at low pressure (open spaces, cooling). Mixed-flow combines both characteristics.
At higher elevations, air is less dense. The fan moves the same volume but less mass. To deliver the same mass flow, you need a larger fan or higher speed, increasing power requirements.
Install VFDs for variable-speed control, optimize ductwork to reduce pressure losses, use high-efficiency fans (backward-curved centrifugal), maintain clean filters, and right-size the fan for the load.