4.5 Flywheel Design (flywheels)
Purpose: Energy storage and rim stress in a thin-ring flywheel approximation.
Method: Closed-form
E_k = \tfrac{1}{2} I \omega^2, \quad \sigma_\theta \approx \rho \omega^2 r^2 $$[^indicative-stress-and-energy-checks] **Inputs:** outer diameter, thickness, face width, density, RPM, yield stress. **Outputs:** mass, inertia, stored energy, hoop stress, safety factor. **Design codes:** Indicative stress and energy checks. **UI:** Legacy layout; unit profile. **Gaps:** Thin-ring assumption; no arm/web stress concentration. --- ## 5. Fasteners & connections [^indicative-stress-and-energy-checks]: Indicative stress and energy checks.