How much does setting lift angle to 52° affect amplitude on a 50° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 52° on a movement with an actual lift angle of 50° distorts the apparent balance amplitude by +8.0° (a true 280° amplitude displays as 288.0°).
+8.0° Error
Primary Metric
288.0° 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 = 50°), apparent amplitude scales by sin(52°) / sin(50°).
- Ratio = sin(52°) / sin(50°) = 0.7880 / 0.7660 = 1.0287.
- Calculated reading: 280° × 1.0287 = 288.0° (error of +8.0°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 50° | 50° | 280° | 280.0° |
| 51° | 50° | 280° | 284.1° |
| 52° (Current) | 50° | 280° | 288.0° (+8.0°) |
| 53° | 50° | 280° | 291.9° |
| 50° (Exact) | 50° | 280° | 280° (0.0°) |
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