Horology & Precision Mechanics

How many Hertz and ticks per second is a 43,200 BPH watch movement?

⚡ Instant Calculated Answer

A 43,200 BPH mechanical movement operates at exactly 6.0 Hz (6.0 cycles per second) and produces 12 escapement ticks per second, with an oscillation period of 83.33 ms.

6.0 Hz Primary Metric
12 ticks/sec Secondary Metric

📐 Mathematical Formula & Step-by-Step Substitution

\[ f_{Hz} = \frac{\text{BPH}}{7200} = \frac{43200}{7200} = 6.0 \text{ Hz} \quad \text{and} \quad \text{TPS} = \frac{43200}{3600} = 12 \]
f_Hz = 43200 / 7200 = 6.0 Hz ; Ticks_per_sec = 43200 / 3600 = 12
  1. Understand that 1 full balance wheel oscillation cycle equals 2 beats (one clockwise tick and one counter-clockwise tock).
  2. Convert beats per hour to full cycles per hour: 43,200 / 2 = 21,600 cycles/hour.
  3. Divide by 3,600 seconds per hour to calculate frequency in Hertz: 21,600 / 3,600 = 6.0 Hz.
  4. Calculate pallet fork impulses (ticks) per second: 43,200 / 3,600 = 12 ticks per second (period T = 83.33 ms).

📊 Nearby Parameter Reference Table

Beat Rate (BPH) Frequency (Hz) Ticks / Second Vibration Period
36,000 BPH 5.0 Hz 10.0 / sec 100.0 ms
39,600 BPH 5.5 Hz 11.0 / sec 90.9 ms
43,200 BPH 6.0 Hz 12.0 / sec 83.3 ms
46,800 BPH 6.5 Hz 13.0 / sec 76.9 ms
50,400 BPH 7.0 Hz 14.0 / sec 71.4 ms
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