Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is ± 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point df multiplied by the uncertainty of the variable. A(z) = Ax
Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is ± 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point df multiplied by the uncertainty of the variable. A(z) = Ax
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Transcribed Image Text:Part B: Error propagation
Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is + 1 degree. Using the rules for
error propagations, determine the uncertainty of sin(0). Clearly show your work.
Hint: The uncertainty of any function of a single variable, z =
f(x), is the derivative of the function calculated at that point
multiplied by the uncertainty of the variable. A(z)
df
Ax
dx
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