Example: V = 25.128+0.246, T = 1.2561 ± 0.0297. Find V / T. Solution (Notice the added words): V/T 25.128/1.2561 = 20.004766... To find the uncertainty: Combine relative uncertainty in quadrature and multiply by the answer. σ = 20.004776 (0.246/25.128)² + (0.0297 / 1.2561)² = 0.5119... Publicly: 20.0±0.5 Problems The following numbers are measured A = 1.32137 +0.04012 B = 4.70206+0.10291 1. Find the relative errors of each of the three numbers to 4 significant digits. C2.80113 +0.06827 Find the following values including the uncertainty, writing out each number to at least 4 decimals, and then also state the properly rounded form. 2. Find A 1 3. Find 2.2* A 4. Find -3.5*A +5 5. Find A + B 6. Find A + B + C 7. Find CA 8. Find A 2* B 9. Find C C 10. Find A⭑B 11 Find A C
Example: V = 25.128+0.246, T = 1.2561 ± 0.0297. Find V / T. Solution (Notice the added words): V/T 25.128/1.2561 = 20.004766... To find the uncertainty: Combine relative uncertainty in quadrature and multiply by the answer. σ = 20.004776 (0.246/25.128)² + (0.0297 / 1.2561)² = 0.5119... Publicly: 20.0±0.5 Problems The following numbers are measured A = 1.32137 +0.04012 B = 4.70206+0.10291 1. Find the relative errors of each of the three numbers to 4 significant digits. C2.80113 +0.06827 Find the following values including the uncertainty, writing out each number to at least 4 decimals, and then also state the properly rounded form. 2. Find A 1 3. Find 2.2* A 4. Find -3.5*A +5 5. Find A + B 6. Find A + B + C 7. Find CA 8. Find A 2* B 9. Find C C 10. Find A⭑B 11 Find A C
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 51RE
Related questions
Question
Transcribed Image Text:Example: V = 25.128+0.246, T = 1.2561 ± 0.0297. Find V / T.
Solution (Notice the added words):
V/T 25.128/1.2561 = 20.004766...
To find the uncertainty: Combine relative uncertainty in quadrature and multiply by the answer.
σ = 20.004776 (0.246/25.128)² + (0.0297 / 1.2561)² = 0.5119...
Publicly: 20.0±0.5
Problems
The following numbers are measured
A = 1.32137 +0.04012
B = 4.70206+0.10291
1. Find the relative errors of each of the three numbers to 4 significant digits.
C2.80113 +0.06827
Find the following values including the uncertainty, writing out each number to at least 4 decimals, and then also state the properly rounded form.
2. Find A 1
3. Find 2.2* A
4. Find -3.5*A +5
5. Find A + B
6. Find A + B + C
7. Find CA
8. Find A 2* B
9.
Find C C
10. Find A⭑B
11
Find A C
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