You are to measure the area of a flat rectangular surface using a meterstick. The measured dimensions of the surface are 19.6 cm ± 0.1 cm by 32.3 cm ± 0.1 cm. (Calculate your answers using the propagation of errors described in Appendix C.) (a) What is the area of this surface? (b) What is the uncertainty due to measurement errors on this area?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 25P: A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m....
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You are to measure the area of a flat rectangular surface using a meterstick. The measured dimensions of the surface are

19.6 cm ± 0.1 cm

by

32.3 cm ± 0.1 cm.

(Calculate your answers using the propagation of errors described in Appendix C.)

(a) What is the area of this surface?


(b) What is the uncertainty due to measurement errors on this area?
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