Read The Use of the Slide Rule (Classic Reprint)

The Use of the Slide Rule (Classic Reprint)

Allan Reginald Cullimore

4.9/5 (9136 ratings)

Description:Excerpt from The Use of the Slide Rule The examples have been taken largely from Hydraulics and Mechanics, and while the actual deld covered by specific problems is narrow, the idea has been to make them fundamental. It is hoped that these examples will serve the purpose of development better than the more specialized problems arising different branches of engineering.recording or computing data should force himself to express. By the number of significant figures in the result, the accuracy of that result. The frequent habit of carrying results to a greater number of significant figures than the data warrant comes perilously near to lying with figures; it certainly creates a wrong impression as to the accuracy of the result. Certain mathematical constants can, however, be computed to any number of significant figures; for instance a may be expressed as or On the other hand, certain physical constants are very uncertain, even in the third place. Take for example the weight of a cubic foot of water generally given as lbs.; conditions of temperature and solution may easily alter the last figure of the three. With recorded data, however, the number of significant figures, as well as their character, gives very definite information. If we say that light travels 186000 miles per second, we do not mean that it covers 186000 miles to within the smallest fraction of an inch in one second of time, but that the distance covered is nearer 186000 miles than it is 185000 or 187000, and the accuracy is expressed by three significant figures. In this particular instance, it 'will be noticed that the three zeros to the right of the six, may or may not be significant figures. To prevent this ambiguity it has been suggested that results like the above be written 186 X which obviates the difficulty. If, therefore, the slide rule will consistently give results to within of one per cent. Or to one part in a thousand, we have a right to use it where three significant figures are warranted in the result. The following rule given by Holman should be rigidly observed in all cases: If numbers are to be multiplied or divided, a given percentage error in one of them will produce the same percentage error in the result. This amounts to saying that all problems, involving data correct to three significant figures only, can be computed advantageously by means of the Slide Rule. The answer is not only near enough, but is as accurate as the data warrants. Of course, in cases when the slide rule is used as a more or less rough check on logarithmic or other calculations, these questions of accuracy do not apply. The consideration of a very simple example will serve to illustrate the rule as stated above. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Use of the Slide Rule (Classic Reprint). To get started finding The Use of the Slide Rule (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 1334654557

Description: Excerpt from The Use of the Slide Rule The examples have been taken largely from Hydraulics and Mechanics, and while the actual deld covered by specific problems is narrow, the idea has been to make them fundamental. It is hoped that these examples will serve the purpose of development better than the more specialized problems arising different branches of engineering.recording or computing data should force himself to express. By the number of significant figures in the result, the accuracy of that result. The frequent habit of carrying results to a greater number of significant figures than the data warrant comes perilously near to lying with figures; it certainly creates a wrong impression as to the accuracy of the result. Certain mathematical constants can, however, be computed to any number of significant figures; for instance a may be expressed as or On the other hand, certain physical constants are very uncertain, even in the third place. Take for example the weight of a cubic foot of water generally given as lbs.; conditions of temperature and solution may easily alter the last figure of the three. With recorded data, however, the number of significant figures, as well as their character, gives very definite information. If we say that light travels 186000 miles per second, we do not mean that it covers 186000 miles to within the smallest fraction of an inch in one second of time, but that the distance covered is nearer 186000 miles than it is 185000 or 187000, and the accuracy is expressed by three significant figures. In this particular instance, it 'will be noticed that the three zeros to the right of the six, may or may not be significant figures. To prevent this ambiguity it has been suggested that results like the above be written 186 X which obviates the difficulty. If, therefore, the slide rule will consistently give results to within of one per cent. Or to one part in a thousand, we have a right to use it where three significant figures are warranted in the result. The following rule given by Holman should be rigidly observed in all cases: If numbers are to be multiplied or divided, a given percentage error in one of them will produce the same percentage error in the result. This amounts to saying that all problems, involving data correct to three significant figures only, can be computed advantageously by means of the Slide Rule. The answer is not only near enough, but is as accurate as the data warrants. Of course, in cases when the slide rule is used as a more or less rough check on logarithmic or other calculations, these questions of accuracy do not apply. The consideration of a very simple example will serve to illustrate the rule as stated above. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Use of the Slide Rule (Classic Reprint). To get started finding The Use of the Slide Rule (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

The Use of the Slide Rule (Classic Reprint)

The Use of the Slide Rule (Classic Reprint)

More Books

The Use Of The Slide Rule

The Use Of The Slide Rule

The Phillips slide rule. A self-teaching practical manual with numerous illustrations and problems, by Allan R. Cullimore ... Volume c.1 1925 [Leather Bound]

The Phillips slide rule. A self-teaching practical manual with numerous illustrations and problems, by Allan R. Cullimore ... Volume c.1 1925 [Leather Bound]

Through Engineering Eyes

Through Engineering Eyes

The Phillips slide rule: A self-teaching practical manual with numerous illustrations and problems,

The Phillips slide rule: A self-teaching practical manual with numerous illustrations and problems,

Through engineering eyes; science selections from literature [by] Allan R. Cullimore ... Re-edited by Frank A. Grammer and James H. Pitman ... 1941 [Leather Bound]

Through engineering eyes; science selections from literature [by] Allan R. Cullimore ... Re-edited by Frank A. Grammer and James H. Pitman ... 1941 [Leather Bound]