How much does setting lift angle to 50° affect amplitude on a 54° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 50° on a movement with an actual lift angle of 54° distorts the apparent balance amplitude by -15.9° (a true 300° amplitude displays as 284.1°).
-15.9° Error
Primary Metric
284.1° 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 = 54°), apparent amplitude scales by sin(50°) / sin(54°).
- Ratio = sin(50°) / sin(54°) = 0.7660 / 0.8090 = 0.9469.
- Calculated reading: 300° × 0.9469 = 284.1° (error of -15.9°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 48° | 54° | 300° | 275.6° |
| 49° | 54° | 300° | 279.9° |
| 50° (Current) | 54° | 300° | 284.1° (-15.9°) |
| 51° | 54° | 300° | 288.2° |
| 54° (Exact) | 54° | 300° | 300° (0.0°) |
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