Solution Found!
Assume that X and Y are independent measurements with
Chapter 3, Problem 1E(choose chapter or problem)
Assume that X and Y are independent measurements with uncertainties \(\sigma_X=0.3 \) and \(\sigma_Y=0.2\). Find the uncertainties in the following quantities:
a. \(4X\)
b. \(X+2Y\)
c. \(2X-3Y\)
Equation Transcription:
Text Transcription:
sigma_X=0.3
sigma_Y=0.2
4X
X+2Y
2X-3Y
Questions & Answers
QUESTION:
Assume that X and Y are independent measurements with uncertainties \(\sigma_X=0.3 \) and \(\sigma_Y=0.2\). Find the uncertainties in the following quantities:
a. \(4X\)
b. \(X+2Y\)
c. \(2X-3Y\)
Equation Transcription:
Text Transcription:
sigma_X=0.3
sigma_Y=0.2
4X
X+2Y
2X-3Y
ANSWER:
Solution 1E
Step1 of 4:
We have an independent variable X with uncertainty .
Let Y be the independent variable with uncertainty.
Here our goal is:
a).We need to find uncertainty of 4X.
b).We need to find uncertainty of X + 2Y.
c).We need to find uncertainty of 2X - 3Y.
Step2 of 4:
a).
Here we have a constant c = 4