Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.52P
The acceleration of a cart down a plane inclined at an angle a to horizontal can be determined by measuring the change in speed of the cart at two points, separated by a distance s, along the inclined plane. Suppose two photocells are fixed at the two points along the plane. Each photocell measures the time for the cart, which has a length L, to pass it. If L = 5 ± 0.5 cm, 5 =100 ±0.2 cm, /| = 0.054 ± 0.001 s, and n = 0.031 ± 0.001 s, all (95%), estimate the uncertainty in acceleration:
Compare as a concomitant check a = g sin a using values for a = 30° and 90°. What uncertainty in u is needed to make this the better method?
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Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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