Part of ME-01 — Units, Measurements & Errors

Units, Measurements & Errors — Exam Cheat Sheet

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  • 7 SI base units: m · kg · s · A · K · mol · cd
  • Dim. formulas: Force [M^{1}$$L^{1}$$T^{-2}] | Energy [M^{1}$$L^{2}$$T^{-2}] | Pressure [M^{1}$$L^{-1}$$T^{-2}] | Power [M^{1}$$L^{2}$$T^{-3}] | Angular momentum [M^{1}$$L^{2}$$T^{-1}]
  • Error rules: Sum/Diff → add ΔA\Delta A + ΔB\Delta B | Product/Quotient → add ΔA\Delta A/A + ΔB\Delta B/B | Power Aⁿ → n·(ΔA\Delta A/A)
  • Sig figs: Leading zeros = never count | Trailing zeros after decimal = always count
  • DA limitations: Cannot find dimensionless constants; cannot distinguish same-dimension formulas

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