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Torque (τ)τ = rF sinθ

Power (Rotational)P = τω

Kinetic E (Rot)K = ½ Iω²

Classic Newtonτ = Iα

Hoop / Point: I = MR²

Disk / Cylinder: I = ½ MR²

Solid Sphere: I = ⅖ MR²

Rod (Center): I = ⅟₁₂ ML²

Gear Ratio

GR = N_out / N_in

= T_out / T_in = ω_in / ω_out

Factor of Safety

FOS = σ_yield / σ_design

Should be > 1.0

Stress & Strain

Stress (Normal)σ = F/A

Strainε = ΔL/L₀

Hooke's Lawσ = Eε

Shear Stressτ = Gγ

Fluid Dynamics

PressureP = F/A = ρgh

BernoulliP + ½ρv² + ρgh = C

BuoyancyF_b = ρVg

Flow RateQ = Av

Preparing your Lab

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