How much does setting lift angle to 50° affect amplitude on a 53° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 50° on a movement with an actual lift angle of 53° distorts the apparent balance amplitude by -11.8° (a true 290° amplitude displays as 278.2°).
-11.8° Error
Primary Metric
278.2° 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 = 50°) disagrees with the caliber geometry (alpha_actual = 53°), apparent amplitude scales by sin(50°) / sin(53°).
- Ratio = sin(50°) / sin(53°) = 0.7660 / 0.7986 = 0.9592.
- Calculated reading: 290° × 0.9592 = 278.2° (error of -11.8°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 48° | 53° | 290° | 269.9° |
| 49° | 53° | 290° | 274.0° |
| 50° (Current) | 53° | 290° | 278.2° (-11.8°) |
| 51° | 53° | 290° | 282.2° |
| 53° (Exact) | 53° | 290° | 290° (0.0°) |
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