How much does setting lift angle to 50° affect amplitude on a 52° caliber?
⚡ Instant Calculated Answer
Entering a lift angle of 50° on a movement with an actual lift angle of 52° distorts the apparent balance amplitude by -7.5° (a true 270° amplitude displays as 262.5°).
-7.5° Error
Primary Metric
262.5° 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 = 52°), apparent amplitude scales by sin(50°) / sin(52°).
- Ratio = sin(50°) / sin(52°) = 0.7660 / 0.7880 = 0.9721.
- Calculated reading: 270° × 0.9721 = 262.5° (error of -7.5°).
📊 Nearby Parameter Reference Table
| Set Lift Angle | Actual Angle | True Amplitude | Timing Machine Display |
|---|---|---|---|
| 48° | 52° | 270° | 254.6° |
| 49° | 52° | 270° | 258.6° |
| 50° (Current) | 52° | 270° | 262.5° (-7.5°) |
| 51° | 52° | 270° | 266.3° |
| 52° (Exact) | 52° | 270° | 270° (0.0°) |
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