Horology & Precision Mechanics

How many Hertz and ticks per second is a 36,000 BPH watch movement?

⚡ Instant Calculated Answer

A 36,000 BPH mechanical movement operates at exactly 5.0 Hz (5.0 cycles per second) and produces 10 escapement ticks per second, with an oscillation period of 100.0 ms.

5.0 Hz Primary Metric
10 ticks/sec Secondary Metric

📐 Mathematical Formula & Step-by-Step Substitution

\[ f_{Hz} = \frac{\text{BPH}}{7200} = \frac{36000}{7200} = 5.0 \text{ Hz} \quad \text{and} \quad \text{TPS} = \frac{36000}{3600} = 10 \]
f_Hz = 36000 / 7200 = 5.0 Hz ; Ticks_per_sec = 36000 / 3600 = 10
  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: 36,000 / 2 = 18,000 cycles/hour.
  3. Divide by 3,600 seconds per hour to calculate frequency in Hertz: 18,000 / 3,600 = 5.0 Hz.
  4. Calculate pallet fork impulses (ticks) per second: 36,000 / 3,600 = 10 ticks per second (period T = 100.0 ms).

📊 Nearby Parameter Reference Table

Beat Rate (BPH) Frequency (Hz) Ticks / Second Vibration Period
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
39,600 BPH 5.5 Hz 11.0 / sec 90.9 ms
43,200 BPH 6.0 Hz 12.0 / sec 83.3 ms
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