Uncertainty Propagation Exercises

1. Apply error propagation rules to the following:
1. Let A = 79.5 ± 0.6, B = 27.8 ± 0.4, and C = 54.6 ± 0.3. Evaluate F = A - B + C.
2. Let A = -12.1 ± 0.2 and B = 3.45 ± 0.06. Evaluate F = A/B.
3. Let A = 15.4 ± 0.2, B = 7.85 ± 0.03, and C = 6.24 ± 0.08. Evaluate F = A /(BC).
4. Let R = 0.151 ± 0.005. Evaluate V = (4/3)R³.
5. Let X = 14.75 ± 0.09. Evaluate Y = 3X^½.
6. Let θ = 27.5 ± 0.5°. Evaluate Y = sin(θ).
7. Let λ = 3.51 ± 0.06. Evaluate N = e^-λ.
8. Let x = 0.75 ± 0.03. Evaluate φ = arctan(x).
2. Find algebraic expressions for the absolute error in the following:
1. 
2. 
3. R = Acos(θ)
4. N = N₀e^-λt
5. F = A/B + C/D
6. v = v₀ + at
7. 
8. d = v₀t + ½at²
9. X = Rtan²(θ)
10. 

Questions?mike.coombes@kwantlen.ca