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

=== Assistant: Great adds. ===
Great adds. Here’s how we’ll handle both—without bloating scope.

==== We can’t get an absolute speed from weights alone (that’d need masses/inertia/damping). So we’ll add one optional driver input and compute the rest: ====
* Driver input (choose one): - Pinion RPM (shaft speed), or - Line speed at the drum (in/s), or - Measured rack speed (in/s)
* We output (results-only on page): - Rack speed for both pinions (in/s) — same value because r_d = r_p - Time to end for each arm = L / rack speed

Notes: With our default rule r_d = r_p, the kinematic ratio is 1:1 (line speed = rack speed). If the ratio changes later, the calculator already supports it.

==== We’ll report an Effective Mechanical Advantage (EMA) that folds in your simple losses and projection effects: ====
* Net driving weight = Wp−Ws−Wasm/4W_p - W_s - W_{asm}/4Wp−Ws−Wasm/4
* Projection/angle factor = (1 − Overall Angle Loss %)
* Running efficiency factor = ηtop×ηbot=0.992\eta_{top} \times \eta_{bot} = 0.99^2ηtop×ηbot=0.992
* With r_d = r_p, the kinematic force ratio is 1:1.

Outputs shown:
* EMA (number): EMA=ηtotal×Projection factor\text{EMA} = \eta_{\text{total}} \times \text{Projection factor}EMA=ηtotal×Projection factor (e.g., if angles give 30% loss and η_total=0.9801 → EMA ≈ 0.686)
* Effective rack force (lbf): Frack=EMA×(Wp−Ws−Wasm/4)F_{\text{rack}} = \text{EMA} \times (W_p - W_s - W_{asm}/4)Frack=EMA×(Wp−Ws−Wasm/4)
* Equivalent effective weights (for intuition): - Primary → rack: Wp×EMAW_p \times \text{EMA}Wp×EMA - Secondary → opposing at rack: Ws×EMAW_s \times \text{EMA}Ws×EMA - Assembly quarter-weight → opposing at rack: (Wasm/4)×EMA(W_{asm}/4) \times \text{EMA}(Wasm/4)×EMA

We’ll also keep your existing static breakaway check: we compare the available shaft torque (from the net driving weight with the above factors applied) to the auto τs of both pinions.

==== - Add Driver input (optional): Pinion RPM or Line speed or Measured rack speed (blank by default). ====
* Add Speed outputs: Rack speed (in/s) and Time to end (s) per arm.
* Add EMA block with the three effective weights and FrackF_{\text{rack}}Frack.

If that matches what you want, say OK and I’ll mark these as locked.