- #1
Ryan Hardt
- 5
- 0
Homework Statement
I have a series of 12 values that I need to calculate the Theoretical Intensity, I, using the formula below.
I have found values for all variables and their uncertainties, and have calculated the I value for each set using the formula. Now I need to calculate the uncertainty.
Example Values:
I0 = 1.80 ± 0.01
θ = 0.17 ± 0.02 rad
λ = 0.0371 ± 0.0026 m
d = 0.072 ± 0.001 m
And I arrived at an I value of 0.043.
Homework Equations
I = I0cos2((π/λ)d*sin(θ))
The Attempt at a Solution
I know the basic formulas for calculating uncertainties of addition, multiplication, and power functions in quadrature. I don't fully understand how to calculate uncertainty or trig functions, but I assume you just take the function of the value and uncertainty inside quadrature? As for a chain of multiple functions (let alone trigonometric) I am stuck, and I could not find documentation on it easily.
Thanks