Reduce speed where possible
Fan affinity laws make speed a major noise lever: \(Q \propto N\), \(p \propto N^2\), and power often follows \(P \propto N^3\). A larger, slower fan can be quieter than a small fan running near its limit.
Use fan static pressure rise unless your source equation or datasheet specifies total pressure.
Blank uses no efficiency penalty. Low values add a screening correction.
Positive values raise Lp for reverberant or reflective rooms.
These empirical equations estimate broadband fan sound power level, written here as \(L_\mathrm{w}\) or \(L_\mathrm{N}\), in decibels referenced to 1 picowatt. They are screening formulas, not a substitute for certified fan sound ratings.
Static pressure is normally the pressure rise through the fan. If your fan schedule gives total pressure, keep the basis consistent when comparing alternatives.
For engineering sign-off, use manufacturer octave-band sound power data tested or reported under recognized methods such as AMCA sound rating practices, ISO 3744 sound power measurements, or project-specific acoustic specifications.
The octave-band table below is normalized from typical fan-type shapes so its energetic sum matches the calculated broadband Lw.
Fan affinity laws make speed a major noise lever: \(Q \propto N\), \(p \propto N^2\), and power often follows \(P \propto N^3\). A larger, slower fan can be quieter than a small fan running near its limit.
Overall dB can look acceptable while a blade-passing frequency is objectionable. Check octave bands or narrowband data when tonal noise, whistles, or grille interaction is likely.
Short elbows, abrupt transitions, hard rooms, and unlined ducts can raise sound pressure at the listener. Straight inlet/outlet sections and lining often help more than a small fan swap.
Use flexible connectors, resilient mounts, balanced wheels, and stiff supports. Structure-borne vibration can re-radiate through ceilings, walls, or duct panels even when the fan sound power is unchanged.
Inputs: Q = 250 CFM, p = 0.45 in. w.g., inline duct fan.
Formula: airflow + pressure, \(40 + 10\log Q + 20\log p\).
Substitution: Q = 0.118 m³/s, p = 112 Pa gives about 71.7 dB before inline correction.
Result: approximately 73 dB Lw. At 3 m free field, listener Lp is roughly 53 dB before room effects.
Inputs: S = 3 kW, p = 550 Pa, backward-curved centrifugal fan.
Formula: motor power + pressure, \(67 + 10\log S + 10\log p\).
Substitution: \(67 + 10\log(3) + 10\log(550) = 99.2\) dB.
Result: about 97 dB Lw after fan type and efficiency corrections. Compare with manufacturer octave-band data before specifying silencers.
Inputs: S = 15 hp, Q = 6500 CFM, radial blade fan.
Formula: motor power + airflow, \(94 + 20\log S - 10\log Q\).
Substitution: S = 11.19 kW and Q = 3.07 m³/s gives about 110.1 dB before correction.
Result: about 113 dB Lw. Treat this as a screening value and check casing radiation and vibration isolation.
Inputs: Q = 18000 CFM, p = 3.0 in. w.g., axial fan.
Formula: airflow + pressure, \(40 + 10\log Q + 20\log p\).
Substitution: Q = 8.50 m³/s and p = 747 Pa gives about 106.7 dB before axial correction.
Result: about 109 dB Lw. A-weighted level may understate low-frequency duct or roof transmission.
| Application | Typical airflow | Typical static pressure | Noise note |
|---|---|---|---|
| Residential bath or small duct fan | 50 to 300 CFM | 0.1 to 0.8 in. w.g. | Installation and grille restriction often dominate. |
| Office supply or return fan | 800 to 6000 CFM | 1 to 4 in. w.g. | Octave bands are normally needed for NC/RC checks. |
| Commercial air handler | 5000 to 30000 CFM | 2 to 7 in. w.g. | Discharge velocity, duct breakout, and silencers matter. |
| Industrial exhaust or process fan | 10000+ CFM | 3 to 15+ in. w.g. | Use certified data and site-specific acoustic modeling. |
| Area served | Approximate quiet velocity target | Comment |
|---|---|---|
| Studios, conference rooms, low-noise offices | Less than 1000 fpm | Use lower velocities and lined duct paths. |
| General offices and classrooms | 1000 to 1500 fpm | Check diffuser, grille, and terminal unit noise. |
| Retail, corridors, and utility spaces | 1500 to 2500 fpm | Higher velocities may be acceptable away from occupants. |
| Industrial exhaust | Project-specific | Process capture velocity may override acoustic preference. |
| Fan scale | Broadband Lw range | When to require manufacturer data |
|---|---|---|
| Small inline or cabinet fan | 75 to 95 dB | When installed near bedrooms, offices, or studios. |
| Commercial centrifugal fan | 90 to 115 dB | When duct silencers, NC criteria, or tenant noise limits apply. |
| Large axial or roof exhaust fan | 100 to 125 dB | When neighbors, roof structure, or low-frequency noise are concerns. |
| Industrial blower | 110 dB and higher | Always request octave bands, casing radiation, and vibration data. |
Lw is sound power level, a source property of the fan. Lp is sound pressure level at a listener or microphone and changes with distance, room absorption, directivity, duct paths, and barriers.
Use the pressure basis that matches your source data. For quick HVAC screening, static pressure rise is commonly used. Manufacturer ratings may be tied to total pressure or a specific test arrangement.
Yes. Select CFM beside the airflow input. The calculator converts CFM to m³/s internally before applying the SI formula.
It is a broadband planning estimate. Expect uncertainty from fan geometry, speed, efficiency, inlet conditions, casing radiation, ductwork, and room effects. Use certified manufacturer data for final design.
The formulas use different known pairs. If you know all three inputs, compare formulas as a reasonableness check; large differences can indicate inconsistent power, pressure, or flow assumptions.
Fan type affects both overall correction and spectral shape. Axial and radial fans often need more caution for tones and higher broadband levels, while backward-curved centrifugal fans are often quieter near best efficiency.
Use the listener distance controls. The calculator applies spherical, hemispherical, or room-corrected spreading to convert estimated Lw into an estimated Lp.
For identical fans, add \(10\log_{10}(n)\) dB to Lw. For different fans, combine each level energetically with \(10\log_{10}\sum 10^{L_i/10}\).
Use octave bands for HVAC acoustic design, silencers, room criteria, and tonal checks. A-weighting is useful for a quick human-hearing estimate but can hide low-frequency problems.