The_polynomial_or_elementary_power_rule "Differentiation rules") that  d  ⁡  N  N  =  2  d  ⁡  F  F  {\displaystyle {\operatorname {d} N \over N}=2{\operatorname {d} F \over F}}  ![{\\displaystyle {\\operatorname {d} N \\over N}=2{\\operatorname {d} F \\over F}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/061fd7615cb9ebc48e8d5b990030e8c935a0a1c9)
52. ** ^  ** Roberts, pp. 60-61.
53. ** ^  ** [ [2] ](https://www.matec-conferences.org/articles/matecconf/pdf/2017/22/matecconf_icmaa2017_12004.pdf) A Relationship between Tyre Pressure and Rolling Resistance Force under Different Vehicle Speed | Apiwat Suyabodha |Department of Automotive Engineering, Rangsit University, Lak-hok, Pathumthani, Thailand | 2017
54. ** ^  ** Hogan, C. Michael (1973). [ "Analysis of highway noise" ](https://doi.org/10.1007%2FBF00159677) . _Water, Air, and Soil Pollution_ . **2** (3): 387–392. [ Bibcode ](/wiki/Bibcode_\(identifier\) "Bibcode \(identifier\)") : [ 1973WASP....2..387H ](https://ui.adsabs.harvard.edu/abs/1973WASP....2..387H) . [ doi ](/wiki/Doi_\(identifier\) "Doi \(identifier\)") : [ 10.1007/BF00159677 ](https://doi.org/10.1007%2FBF00159677) . [ S2CID ](/wiki/S2CID_\(identifier\) "S2CID \(identifier\)") [ 109914430 ](https://api.semanticscholar.org/CorpusID:109914430) .
55. ** ^  ** Stachowiak, Gwidon W.; Batchelor, Andrew William (2000). _Engineering tribology_ (2. ed.). Oxford: Butterworth-Heinemann. [ ISBN ](/wiki/ISBN_\(identifier\) "ISBN \(identifier\)") [ 978-0-7506-7304-4  ](/wiki/Special:BookSources/978-0-7506-7304-4 "Special:BookSources/978-0-7506-7304-4") .
56. ** ^  ** [ http://144.206.159.178/ft/200/607426/12614863.pdf ](http://144.206.159.178/ft/200/607426/12614863.pdf) [ _[ permanent dead link  ](/wiki/Wikipedia:Link_rot "Wikipedia:Link rot") _ ]
57. ** ^  ** [ http://www.rubberchemtechnol.org/resource/1/rctea4/v3/i1/p19_s1?isAuthorized=no ](http://www.rubberchemtechnol.org/resource/1/rctea4/v3/i1/p19_s1?isAuthorized=no) [ _[ permanent dead link  ](/wiki/Wikipedia:Link_rot "Wikipedia:Link rot") _ ]
58. ^  _**a** _ _**b** _ _**c** _ _**d** _ [ "Schwalbe Tires: Rolling Resistance" ](http://www.schwalbetires.com/tech_info/rolling_resistance) .
59. ** ^  ** [ The Recumbent Bicycle and Human Powered Vehicle Information Center ](http://www.recumbents.com/mars/pages/proj/tetz/other/Crr.html)
60. ** ^  ** U.S National Bureau of Standards p.? and Williams p.?
61. ** ^  ** Roberts, "Effect of temperature", p.59
62. ** ^  ** Астахов, p. 74, Although Астахов list these components, he doesn't give the sum a name.
63. ** ^  ** Шадур. Л. А. (editor). Вагоны  (in Russian)  (Railway cars). Москва, Транспорт, 1980. pp. 122 and figs. VI.1 p. 123 VI.2 p. 125
64. ** ^  ** Association of American Railroads, Mechanical Division "Car and Locomotive Encyclopedia", New York, Simmons-Boardman, 1974. Section 14: "Axle journals and bearings". Almost all of the ads in this section are for the tapered type of bearing.
65. ** ^  ** Астахов, Fig 4.2, p. 76
66. ** ^  ** Statistics of railroads of class I in the United States, Years 1965 to 1975: Statistical summary. Washington DC, Association of American Railroads, Economics and Finance Dept. See table for Amtrak, p.16. To get the tons per passenger divide ton-miles (including locomotives) by passenger-miles. To get tons-gross/tons-net, divide gross ton-mi (including locomotives) (in the "operating statistics" table by the revenue ton-miles (from the "Freight traffic" table)

* Астахов П.Н.  (in Russian)  "Сопротивление движению железнодорожного подвижного состава" (Resistance to motion of railway rolling stock) Труды ЦНИИ МПС (ISSN 0372-3305). Выпуск 311 (Vol. 311). - Москва: Транспорт, 1966. – 178 pp. [ perm. record at UC Berkeley ](http://oskicat.berkeley.edu/record=b12003170~S1) (In 2012, full text was on the Internet but the U.S. was blocked)
* Деев В.В., Ильин Г.А., Афонин Г.С.  (in Russian)  "Тяга поездов" (Traction of trains) Учебное пособие. - М.: Транспорт, 1987. - 264 pp.
* Hay, William W. "Railroad Engineering" New York, Wiley 1953
* [ Hersey, Mayo D. ](/wiki/Mayo_D._Hersey "Mayo D. Hersey") , "Rolling Friction" _Transactions of the ASME_ , April 1969 pp. 260–275 and _Journal of Lubrication Technology_ , January 1970, pp. 83–88 (one article split between two journals) Except for the "Historical Introduction" and a survey of the literature, it is mainly about laboratory testing of mine railroad cast iron wheels of diameters 8″ to 24 done in the 1920s (almost a half century delay between experiment and publication).
* Hoerner, Sighard F., "Fluid dynamic drag", published by the author, 1965. (Chapt. 12 is "Land-Borne Vehicles" and includes rolling resistance (trains, autos, trucks).)
* Roberts, G. B., "Power wastage in tires", International Rubber Conference, Washington, D.C. 1959.
* U.S National Bureau of Standards, "Mechanics of Pneumatic Tires", Monograph