Fan Calculator

Calculate fan power, airflow, static pressure, brake horsepower, and energy cost with fan affinity laws, efficiency analysis, and RPM scaling.

Air Horsepower
0.1573 HP (117.3 W)
Theoretical power delivered to the air (CFM × SP / 6356)
Brake Horsepower
0.2420 HP (180.5 W)
Shaft power required at 65% fan efficiency
Motor Input Power
0.2689 HP (200.6 W)
Electrical input at 90% motor efficiency
Overall System Efficiency
58.5%
Fan eff × Motor eff = 65% × 90%
Specific Fan Power
212 W/(m³/s)
Volumetric flow: 0.9439 m³/s (2000 CFM)
Estimated Sound Power
67.0 dB
Approximate sound power level (fan noise estimate)
Tip Speed
27.9 m/s
Blade tip velocity at 1750 RPM, 12″ diameter
Annual Energy Cost (24/7)
$211/yr
1,757 kWh/yr at $0.12/kWh
Efficiency Breakdown
Fan
65.0%
Motor
90.0%
Overall
58.5%

Fan Affinity Laws — RPM Scaling

RPMCFMSP (in. w.g.)Air HP
105012000.180.034
122514000.2450.054
140016000.320.0806
157518000.4050.1147
175020000.50.1573
192522000.6050.2094
210024000.720.2719
Planning notes, formulas, and examples

About the Fan Calculator

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 calculator 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.

When This Page Helps

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.

How to Use the Inputs

  1. Enter the required airflow in CFM (cubic feet per minute)
  2. Enter the total static pressure the fan must overcome (in. w.g.)
  3. Set the fan efficiency (%) — typically 50–80% depending on type
  4. Set the motor efficiency (%) — typically 85–95% for standard motors
  5. Select the fan type and enter RPM and diameter if known
  6. Review power requirements, efficiency, cost analysis, and the affinity law table
Formula used
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).

Example Calculation

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.

Tips & Best Practices

  • Backward-curved centrifugal fans achieve 75–85% efficiency — significantly better than forward-curved (55–65%)
  • Adding a VFD to a fan running at partial load can cut energy costs by 40–70%
  • Every 1 inch w.g. of unnecessary static pressure wastes about 10% of fan energy
  • Fan sound power increases roughly 5 dB per doubling of airflow — an important consideration for occupied spaces
  • Tip speed above 60 m/s generates significant noise — consider larger, slower fans for quiet applications

Practical Guidance

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.

Common Pitfalls

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.

Interpreting the Result

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.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • 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.