Book contents
- Frontmatter
- PREFACE
- Contents
- Obituary Notice
- 1876: Note on Certain Formulæ in the Calculus of Operations. (In a letter to Prof. Tait)
- 1876: An Experiment on Electro-Magnetic Rotation
- 1887: On the Foci of Lines seen through a Crystalline Plate
- 1877: On Certain Movements of Radiometers
- 1878: On the Question of a Theoretical Limit to the Apertures of Microscopic Objectives
- 1878: On an Easy and at the same time Accurate Method of Determining the Ratio of the Dispersions of Glasses intended for Objectives
- 1879: On a Method of detecting Inequalities of unknown periods in a series of Observations. (Note appended to a paper by Prof. B. Stewart and W. Dodgson)
- 1880: Description of the Card Supporter for Sunshine Recorders adopted at the Meteorological Office
- 1881: On a Simple Mode of Eliminating Errors of Adjustment in Delicate Observations of Compared Spectra
- 1881: Discussion of the Results of some Experiments with Whirled Anemometers
- 1878: On the Determination of the Constants of the Cup Anemometer by Experiments with a Whirling Machine
- 1881: Note on the Reduction of Mr Crookes's Experiments on the Decrement of the Arc of Vibration of a Mica Plate oscillating within a Bulb containing more or less Rarefied Gas
- 1882: On the Cause of the Light Border frequently noticed in Photographs just outside the Outline of a Dark Body seen against the Sky: with some Introductory Remarks on Phosphorescence
- 1882: Extracts from Reports of the Committee on Solar Physics
- 1882: Memorandum for the use of Observers with Professor Balfour Stewart's Actinometer, prepared by Professor G. G. Stokes, Sec.R.S., and adopted by the Committee on Solar Physics
- 1883: On the Highest Wave of Uniform Propagation. (Preliminary notice)
- 1880: On the Maximum Wave of Uniform Propagation, being a Second Supplement to a Paper on the Theory of Oscillatory Waves. (Not before published)
- 1891: Note on the Theory of the Solitary Wave
- 1895: The Outskirts of the Solitary Wave
- 1885: On a remarkable Phenomenon of Crystalline Reflection
- 1886: The Coefficient of Viscosity of Air
- 1889: Note on the Determination of Arbitrary Constants which appear as Multipliers of Semi-convergent Series
- 1891: On a Graphical Representation of the Results of Dr Alder Wright's Experiments on Ternary Alloys
- 1891: On an Optical Proof of the Existence of Suspended Matter in Flames
- 1891: On the Reactions occurring in Flames
- 1891: The Influence of Surface-Loading on the Flexure of Beams
- 1892: On the best Methods of Recording the direct Intensity of Solar Radiation
- 1896: On the Nature of the Röntgen Rays
- 1897: On the Nature of the Röntgen Rays (Wilde Lecture)
- 1898: Mathematical Proof of the Identity of the Stream Lines obtained by means of a Viscous Film with those of a Perfect Fluid moving in Two Dimensions
- 1902: On the Discontinuity of Arbitrary Constants that appear as Multipliers of Semi-Convergent Series
- 1886: On the Methods of Chemical Fractionation
- 1903: The Ultra-Violet Spectrum of Radium
- APPENDIX (Mathematical Tripos and Smith's Prize questions)
- INDEX
1878: On the Determination of the Constants of the Cup Anemometer by Experiments with a Whirling Machine
Published online by Cambridge University Press: 01 June 2011
- Frontmatter
- PREFACE
- Contents
- Obituary Notice
- 1876: Note on Certain Formulæ in the Calculus of Operations. (In a letter to Prof. Tait)
- 1876: An Experiment on Electro-Magnetic Rotation
- 1887: On the Foci of Lines seen through a Crystalline Plate
- 1877: On Certain Movements of Radiometers
- 1878: On the Question of a Theoretical Limit to the Apertures of Microscopic Objectives
- 1878: On an Easy and at the same time Accurate Method of Determining the Ratio of the Dispersions of Glasses intended for Objectives
- 1879: On a Method of detecting Inequalities of unknown periods in a series of Observations. (Note appended to a paper by Prof. B. Stewart and W. Dodgson)
- 1880: Description of the Card Supporter for Sunshine Recorders adopted at the Meteorological Office
- 1881: On a Simple Mode of Eliminating Errors of Adjustment in Delicate Observations of Compared Spectra
- 1881: Discussion of the Results of some Experiments with Whirled Anemometers
- 1878: On the Determination of the Constants of the Cup Anemometer by Experiments with a Whirling Machine
- 1881: Note on the Reduction of Mr Crookes's Experiments on the Decrement of the Arc of Vibration of a Mica Plate oscillating within a Bulb containing more or less Rarefied Gas
- 1882: On the Cause of the Light Border frequently noticed in Photographs just outside the Outline of a Dark Body seen against the Sky: with some Introductory Remarks on Phosphorescence
- 1882: Extracts from Reports of the Committee on Solar Physics
- 1882: Memorandum for the use of Observers with Professor Balfour Stewart's Actinometer, prepared by Professor G. G. Stokes, Sec.R.S., and adopted by the Committee on Solar Physics
- 1883: On the Highest Wave of Uniform Propagation. (Preliminary notice)
- 1880: On the Maximum Wave of Uniform Propagation, being a Second Supplement to a Paper on the Theory of Oscillatory Waves. (Not before published)
- 1891: Note on the Theory of the Solitary Wave
- 1895: The Outskirts of the Solitary Wave
- 1885: On a remarkable Phenomenon of Crystalline Reflection
- 1886: The Coefficient of Viscosity of Air
- 1889: Note on the Determination of Arbitrary Constants which appear as Multipliers of Semi-convergent Series
- 1891: On a Graphical Representation of the Results of Dr Alder Wright's Experiments on Ternary Alloys
- 1891: On an Optical Proof of the Existence of Suspended Matter in Flames
- 1891: On the Reactions occurring in Flames
- 1891: The Influence of Surface-Loading on the Flexure of Beams
- 1892: On the best Methods of Recording the direct Intensity of Solar Radiation
- 1896: On the Nature of the Röntgen Rays
- 1897: On the Nature of the Röntgen Rays (Wilde Lecture)
- 1898: Mathematical Proof of the Identity of the Stream Lines obtained by means of a Viscous Film with those of a Perfect Fluid moving in Two Dimensions
- 1902: On the Discontinuity of Arbitrary Constants that appear as Multipliers of Semi-Convergent Series
- 1886: On the Methods of Chemical Fractionation
- 1903: The Ultra-Violet Spectrum of Radium
- APPENDIX (Mathematical Tripos and Smith's Prize questions)
- INDEX
Summary
The object of the experiments being to determine the relation between the velocity of actual wind supposed uniform (the air also being at, or reduced to, a normal density), the velocity of the cups, and the friction, I assume in the first instance as correct, the values of those two quantities given by the experiments with the whirling machine, and proceed to consider the relation.
Let V′ be the velocity with which the air passes the anemometer, that is, in the case of the actual experiments, the velocity of the centre of the anemometer itself corrected for the velocity of the wind produced by it; let v be the velocity of the centre of the cups, F the moment of the total friction. Then supposing the density of the air normal for a given anemometer, v will depend only on V′ and F, that is, there will be a functional relation between the three variables V′, v, F, leaving two of them independent.
In investigating experimentally the relation between two variables, it is often very useful to plot the results of experiment, as the general character of the relation sought, and the allowance to be made for errors of observation can thus be estimated. The relation between three variables would be expressed graphically by a surface instead of a curve, and it is troublesome to model a surface. If, however, we can find a relation between the variables which is satisfied, provided some other relation is satisfied, we can thereby reduce the number of independent variables from two to one, and employ ordinary plotting in investigating the relationt between the variables.
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- Mathematical and Physical Papers , pp. 95 - 99Publisher: Cambridge University PressPrint publication year: 2009First published in: 1905