Physics 1220 In-Class Problems: Error Propagation

1. Apply error propagation rules to the following single variable functions:
   

   (a) Let x = 14.75 ± 0.09. Evaluate F = 3x^½.
   

   (b) Let θ = 27.5 ± 0.5°. Evaluate F = sin(θ) - cos(θ).

   (c) Let θ = 27.5 ± 0.5°. Evaluate F = sin(θ) + cos(θ).

   (d) Let t = 2.35 ± 0.06 s. Evaluate F = 5t² - 3t + 2.

   (e) Let θ = 0.754 ± 0.004 rad. Evaluate F = [tan(θ)]^½.
   

2. Find algebraic expressions for the absolute error in the following multivariate functions:

   (a)

   (b) R = Acos(θ)

   (c) N = N₀e^-λt

   (d) F = A/B + C/D

   (e) v = v₀ + at

   (f)

   (g) d = v₀t + ½at²

   (h) X = Rtan²(θ)

   (i)

   (j) L = mvrsin(φ)

Questions? mike.coombes@kwantlen.ca