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Part of JME-07 — Units, Measurements & Error Analysis

Key Formulae Quick Reference

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Common Dimensional Formulae:

  • Force: [MLT^{-2}], Energy: [ML^2T^{-2}], Power: [ML^2T^{-3}]
  • Pressure: [ML^{-1}T^{-2}], Momentum: [MLT^{-1}]
  • Planck's constant: [ML^2T^{-1}], G: [M^{-1}L^3T^{-2}]

Error Propagation:

  • Z = A +/- B: Delta(Z) = Delta(A) + Delta(B)
  • Z = A * B or A/B: Delta(Z)/Z = Delta(A)/A + Delta(B)/B
  • Z = A^n: Delta(Z)/Z = |n| * Delta(A)/A
  • Z = A^p * B^q / C^r: Delta(Z)/Z = |p|*Delta(A)/A + |q|*Delta(B)/B + |r|*Delta(C)/C

Unit Conversion: n_2 = n_1 * (M_1/M_2)^a * (L_1/L_2)^b * (T_1/T_2)^c

Instruments:

  • Vernier LC = 1 MSD - 1 VSD
  • Screw gauge LC = Pitch / Circular divisions

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