Horology & Precision Mechanics

How many Hertz and ticks per second is a 28,800 BPH watch movement?

⚡ Instant Calculated Answer

A 28,800 BPH mechanical movement operates at exactly 4.0 Hz (4.0 cycles per second) and produces 8 escapement ticks per second, with an oscillation period of 125.0 ms.

4.0 Hz Primary Metric
8 ticks/sec Secondary Metric

📐 Mathematical Formula & Step-by-Step Substitution

\[ f_{Hz} = \frac{\text{BPH}}{7200} = \frac{28800}{7200} = 4.0 \text{ Hz} \quad \text{and} \quad \text{TPS} = \frac{28800}{3600} = 8 \]
f_Hz = 28800 / 7200 = 4.0 Hz ; Ticks_per_sec = 28800 / 3600 = 8
  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: 28,800 / 2 = 14,400 cycles/hour.
  3. Divide by 3,600 seconds per hour to calculate frequency in Hertz: 14,400 / 3,600 = 4.0 Hz.
  4. Calculate pallet fork impulses (ticks) per second: 28,800 / 3,600 = 8 ticks per second (period T = 125.0 ms).

📊 Nearby Parameter Reference Table

Beat Rate (BPH) Frequency (Hz) Ticks / Second Vibration Period
21,600 BPH 3.0 Hz 6.0 / sec 166.7 ms
25,200 BPH 3.5 Hz 7.0 / sec 142.9 ms
28,800 BPH 4.0 Hz 8.0 / sec 125.0 ms
32,400 BPH 4.5 Hz 9.0 / sec 111.1 ms
36,000 BPH 5.0 Hz 10.0 / sec 100.0 ms
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