Horology & Precision Mechanics

How many Hertz and ticks per second is a 18,000 BPH watch movement?

⚡ Instant Calculated Answer

A 18,000 BPH mechanical movement operates at exactly 2.5 Hz (2.5 cycles per second) and produces 5 escapement ticks per second, with an oscillation period of 200.0 ms.

2.5 Hz Primary Metric
5 ticks/sec Secondary Metric

📐 Mathematical Formula & Step-by-Step Substitution

\[ f_{Hz} = \frac{\text{BPH}}{7200} = \frac{18000}{7200} = 2.5 \text{ Hz} \quad \text{and} \quad \text{TPS} = \frac{18000}{3600} = 5 \]
f_Hz = 18000 / 7200 = 2.5 Hz ; Ticks_per_sec = 18000 / 3600 = 5
  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: 18,000 / 2 = 9,000 cycles/hour.
  3. Divide by 3,600 seconds per hour to calculate frequency in Hertz: 9,000 / 3,600 = 2.5 Hz.
  4. Calculate pallet fork impulses (ticks) per second: 18,000 / 3,600 = 5 ticks per second (period T = 200.0 ms).

📊 Nearby Parameter Reference Table

Beat Rate (BPH) Frequency (Hz) Ticks / Second Vibration Period
10,800 BPH 1.5 Hz 3.0 / sec 333.3 ms
14,400 BPH 2.0 Hz 4.0 / sec 250.0 ms
18,000 BPH 2.5 Hz 5.0 / sec 200.0 ms
21,600 BPH 3.0 Hz 6.0 / sec 166.7 ms
25,200 BPH 3.5 Hz 7.0 / sec 142.9 ms
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