--- license: other task_categories: - robotics - reinforcement-learning language: - en tags: - synthetic-data - physical-ai - world-models - reasoning - chain-of-thought pretty_name: PAG-1 (Physical AGI Grounding) size_categories: - 1K 1. Calculate Shear Stress (tau): tau = mu * gamma = 15.31 * 399 = 6108.69 Pa. > 2. Lateral Surface Area (A): 2 * pi * R * L = 2 * 3.14159 * 0.05 * 0.15 = 0.04712 m^2. > 3. Tangential Force (F): F = tau * A = 6108.69 * 0.04712 = 287.84 N. > 4. Derive Torque (T): T = F * R = 287.84 * 0.05 = 14.392 Nm. **Output:** `14.392 Nm` ## 5. Provenance & Verification Produced by the **John Emery Data Foundry** using a dual H200 SXM5 cluster. - **Generator:** DeepSeek-R1-70B (Enforced First-Principles Mode). - **Auditor:** Gemini 2.5 Flash (Technical Density Check). - **Verifier:** Programmatic Symbolic Math Audit. --- **Commercial Disclaimer:** This data is 100% synthetic and PII-free. It is designed for R&D and model alignment in the fields of robotics and world modeling.