How much does setting lift angle to 52° affect amplitude on a 55° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 52° on a movement with an actual lift angle of 55° distorts the apparent balance amplitude by -11.8° (a true 310° amplitude displays as 298.2°).
-11.8° Error
Primary Metric
298.2° Displayed
Secondary Metric
📐 Mathematical Formula & Step-by-Step Substitution
- Timing machines deduce balance wheel amplitude by timing the acoustic impulse interval: t_impulse = Lift_Angle / (2 * pi * f * Amplitude).
- If the instrument's setting (alpha_set = 52°) disagrees with the caliber geometry (alpha_actual = 55°), apparent amplitude scales by sin(52°) / sin(55°).
- Ratio = sin(52°) / sin(55°) = 0.7880 / 0.8192 = 0.9620.
- Calculated reading: 310° × 0.9620 = 298.2° (error of -11.8°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 50° | 55° | 310° | 289.9° |
| 51° | 55° | 310° | 294.1° |
| 52° (Current) | 55° | 310° | 298.2° (-11.8°) |
| 53° | 55° | 310° | 302.2° |
| 55° (Exact) | 55° | 310° | 310° (0.0°) |
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