How much does setting lift angle to 52° affect amplitude on a 48° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 52° on a movement with an actual lift angle of 48° distorts the apparent balance amplitude by +15.7° (a true 260° amplitude displays as 275.7°).
+15.7° Error
Primary Metric
275.7° 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 = 48°), apparent amplitude scales by sin(52°) / sin(48°).
- Ratio = sin(52°) / sin(48°) = 0.7880 / 0.7431 = 1.0604.
- Calculated reading: 260° × 1.0604 = 275.7° (error of +15.7°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 50° | 48° | 260° | 268.0° |
| 51° | 48° | 260° | 271.9° |
| 52° (Current) | 48° | 260° | 275.7° (+15.7°) |
| 53° | 48° | 260° | 279.4° |
| 48° (Exact) | 48° | 260° | 260° (0.0°) |
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