How much does setting lift angle to 53° affect amplitude on a 51° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 53° on a movement with an actual lift angle of 51° distorts the apparent balance amplitude by +7.6° (a true 275° amplitude displays as 282.6°).
+7.6° Error
Primary Metric
282.6° 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 = 53°) disagrees with the caliber geometry (alpha_actual = 51°), apparent amplitude scales by sin(53°) / sin(51°).
- Ratio = sin(53°) / sin(51°) = 0.7986 / 0.7771 = 1.0277.
- Calculated reading: 275° × 1.0277 = 282.6° (error of +7.6°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 51° | 51° | 275° | 275.0° |
| 52° | 51° | 275° | 278.8° |
| 53° (Current) | 51° | 275° | 282.6° (+7.6°) |
| 54° | 51° | 275° | 286.3° |
| 51° (Exact) | 51° | 275° | 275° (0.0°) |
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