following measurments are taken in a lab in meters. I have linearised the function and the f(l)=log(length). Given that the measuring equipment has a magin of error of +-0.0005m what is the value of all the palce I have written "error" in the table? IE what is the value of deltaf(l)?
following measurments are taken in a lab in meters. I have linearised the function and the f(l)=log(length). Given that the measuring equipment has a magin of error of +-0.0005m what is the value of all the palce I have written "error" in the table? IE what is the value of deltaf(l)?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Error analysis:
The following measurments are taken in a lab in meters. I have linearised the function and the f(l)=log(length). Given that the measuring equipment has a magin of error of +-0.0005m what is the value of all the palce I have written "error" in the table? IE what is the value of deltaf(l)?
![1 (m)
х-ахis
Al = +0.0005m
f(1) + A f(1)
0.4
-0.398±error
0.5
-0.301terror
0.6
-0.222±error
0.8
-0.0969terror
1.0
1.2
0.0792terror
f(1) = log(1)
e.g.
• log(0.4)=-0.398](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38cd4c86-4579-4877-8043-2ac03da277d4%2F478b36d9-a3be-45e0-8ea5-a63d156f24d4%2Fw7h9u44_processed.png&w=3840&q=75)
Transcribed Image Text:1 (m)
х-ахis
Al = +0.0005m
f(1) + A f(1)
0.4
-0.398±error
0.5
-0.301terror
0.6
-0.222±error
0.8
-0.0969terror
1.0
1.2
0.0792terror
f(1) = log(1)
e.g.
• log(0.4)=-0.398
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