Free Engineering Tool #037

Blade Pass Frequency Calculator

Calculate blade pass frequency (BPF) for fans, pumps, and impellers. Includes harmonics 1× through 5× and shaft frequency.

BPF Fans Pumps Impellers
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Blade Pass Frequency (BPF)
BPF as Order of Shaft Speed
Shaft Frequency
BPF Period

BPF Harmonics

Harmonic Frequency (Hz) Order (× shaft) Period (ms)

Blade Pass Frequency (BPF)

Blade pass frequency is the rate at which blades or vanes pass a fixed reference point. It applies to fans, pumps, compressors, turbines, and any rotating machinery with blades or vanes.

  • Z — number of blades or vanes
  • RPM — shaft rotational speed
  • fs — shaft frequency = RPM/60 (Hz)

Shaft Frequency

Why Harmonics Matter

BPF harmonics (2×BPF, 3×BPF, etc.) provide diagnostic information:

  • 1×BPF dominant: Normal operation — pressure pulsations from blade passing
  • Elevated 1×BPF: Clearance problems, flow disturbance, or resonance
  • Multiple BPF harmonics: Non-sinusoidal pressure pulses — blade damage, uneven spacing, or cavitation
  • BPF with shaft-speed sidebands: Individual blade damage or buildup

Practical Example

Example — Centrifugal Pump, 6 Vanes, 2950 RPM

Given: Z = 6, RPM = 2950

fs = 2950/60 = 49.17 Hz

BPF = 6 × 49.17 = 295 Hz

2×BPF = 590 Hz, 3×BPF = 885 Hz

Period = 1/295 = 3.39 ms

Tip: In centrifugal pumps, the interaction between impeller vanes and volute cutwater is the primary source of BPF vibration. Optimizing the gap between impeller OD and cutwater (typically 5–10% of impeller diameter) can significantly reduce BPF amplitude.

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Blade pass frequency formula per standard kinematic equations. Last updated: February 2026

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