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Propeller Blade Passing Frequency & Tonal Noise Calculator

Rotating aerodynamic blades (aircraft propellers, cooling fans, and drone rotors) generate strong discrete frequency tones at harmonics of the blade passing frequency.

Shaft rotational speed in revolutions per minute.

Number of equally spaced rotor blades.

Tip-to-tip rotor diameter in meters.

Total steady aerodynamic thrust in Newtons.

Distance from propeller hub to acoustic receiver in meters.

Calculated Result
120.0 Hz

Blade Passing Frequency (BPF)

Fundamental Tone SPL

51.7 dB (re 20 µPa)

Blade Tip Speed

226.2 m/s (Mach 0.66)

Shaft Rotational Frequency

40.0 Hz

2nd / 3rd Harmonics

240.0 Hz / 360.0 Hz

Calculation Breakdown

  1. Kinematic Tone Frequenciesf_BPF = B · (RPM / 60) = 3 × (2400 / 60) = 120.0 Hz
  2. Helical Blade Tip SpeedV_tip = π · D · (RPM / 60) = 226.2 m/s (M_tip = 0.66)
  3. Acoustic Tonal RadiationEstimated sound pressure level at 50 m: 51.7 dB

What Is the Propeller Blade Passing Frequency & Tonal Noise Calculator?

The Blade Passing Frequency (BPF) is the rate at which rotor blades sweep past a fixed observation point, creating periodic pressure pulses perceived as distinct tonal hums.

Propeller noise dominates the acoustic signature of turboprop aircraft, multirotor drones, and HVAC ventilation fans.

How Does the Propeller Blade Passing Frequency & Tonal Noise Calculator Work?

Steady thrust and torque forces acting on the fluid rotate with the blades, producing dipole Gutin loading noise.

The displacement of air by the physical volume of the rotating blade blades produces monopole thickness noise, which grows rapidly as tip Mach number approaches 1.0.

Propeller Blade Passing Frequency & Tonal Noise Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

f_BPF = B · (RPM / 60), V_tip = π · D · (RPM / 60), M_tip = V_tip / c_0

Computes rotational kinematic tone frequencies and Gutin steady thrust-loading acoustic dipole radiation.

How to Use the Propeller Blade Passing Frequency & Tonal Noise Calculator

  1. Enter propeller RPM and blade count.
  2. Input rotor diameter and aerodynamic thrust.
  3. Identify critical tonal frequencies to design acoustic absorption liners or active noise control systems.

Step-by-Step Example Calculation

3-Blade General Aviation Propeller at 2400 RPM

Input Values:

rotationalSpeedRpm:2400
bladeCount:3
propellerDiameterMeters:1.8
thrustNewtons:2500
observerDistanceMeters:50
Worked Steps: Predicts fundamental BPF of 120 Hz and tip speed of 226 m/s (Mach 0.66).

Understanding Your Result

BPF is the primary tonal frequency in Hertz.

Harmonics at 2·BPF and 3·BPF also carry significant acoustic energy.

Tip Mach number should ideally stay below 0.70 to avoid harsh transonic thickness noise.

Factors That Affect the Result

  • Blade count: Increasing blade count spreads thrust across more blades, shifting BPF to higher, more easily attenuated frequencies.
  • Tip speed: Noise rises dramatically with tip speed; reducing RPM is the most effective way to quiet drones and propellers.

When Should You Use This Calculator?

  • FAA / EASA aircraft propeller noise certification compliance.
  • Designing quiet drone propellers and computer cooling fan blades.

Assumptions & Limitations

  • Evaluates free-field propeller noise without interaction effects from airframe struts or wing surfaces.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Gutin classical aeroacoustic formulation.

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