How much does setting lift angle to 52° affect amplitude on a 49° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 52° on a movement with an actual lift angle of 49° distorts the apparent balance amplitude by +12.6° (a true 285° amplitude displays as 297.6°).
+12.6° Error
Primary Metric
297.6° 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 = 52°) disagrees with the caliber geometry (alpha_actual = 49°), apparent amplitude scales by sin(52°) / sin(49°).
- Ratio = sin(52°) / sin(49°) = 0.7880 / 0.7547 = 1.0441.
- Calculated reading: 285° × 1.0441 = 297.6° (error of +12.6°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 50° | 49° | 285° | 289.3° |
| 51° | 49° | 285° | 293.5° |
| 52° (Current) | 49° | 285° | 297.6° (+12.6°) |
| 53° | 49° | 285° | 301.6° |
| 49° (Exact) | 49° | 285° | 285° (0.0°) |
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