Editing Openai/68fceef0-7248-8013-bf5d-581461dec5bc (section)

=== Assistant: Short answer: pitch/module + tooth count don’t uniquely determine static breakaway torque. ===
Short answer: pitch/module + tooth count don’t uniquely determine static breakaway torque. They set geometry (radius), but breakaway also depends on bearings, seals, preload, lubrication, etc.—info we’re not collecting.

To keep it simple (and automatic) while reflecting size, I’ll implement:

Auto Static Breakaway (per pinion):

τs=τ0+k⋅rp(lb\cdotpin)\tau_s = \tau_0 + k \cdot r_p \quad\text{(lb·in)}τs=τ0+k⋅rp(lb\cdotpin)
* rpr_prp = pinion pitch radius computed from Module/DP + z (your rule).
* High-precision defaults: τ0=0.20\tau_0 = 0.20τ0=0.20 lb·in, k=0.80k = 0.80k=0.80 lb/in.
* With current defaults (m=1.0, z=20 ⇒ rp≈0.393r_p \approx 0.393rp≈0.393 in): τs≈0.20+0.80×0.393≈0.52\tau_s \approx 0.20 + 0.80 \times 0.393 \approx 0.52τs≈0.20+0.80×0.393≈0.52 lb·in (each pinion).

This yields a small, realistic breakaway threshold that scales with gear size and matches your “very optimized” system. Users can still override τ₀ and k in an “Advanced” drawer if you want, but we won’t show math on the page—just the result.

Want me to lock this Auto model for τs?