| 单词 | radius of curvature |
| 例句 | What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g? College Physics for AP Courses 2015-08-12T00:00:00Z We call r the radius of curvature of the curve, and it is equal to the reciprocal of the curvature. Calculus, Volume 3 2016-03-30T00:00:00Z On the western slope, which was ten thousand six hundred and fifty feet in length, the maximum grade was two hundred and eighty feet per mile, and the ruling radius of curvature three hundred feet. Illustrated Catalogue of Locomotives Baldwin Locomotive Works 2012-04-03T02:00:35.800Z It is physically impossible to mill out a concave cycloid, by any means whatever, because at the pitch line its radius of curvature is zero, and a milling cutter must have a sensible diameter. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The distance from P to the centre of curvature is the radius of curvature. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Figure 6.38 Teardrop-shaped loops are used in the latest roller coasters so that the radius of curvature gradually decreases to a minimum at the top. College Physics for AP Courses 2015-08-12T00:00:00Z In order that the theory may hold good the radius of curvature must be very large. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z The shortest radius of curvature was two hundred and thirty-eight feet. Illustrated Catalogue of Locomotives Baldwin Locomotive Works 2012-04-03T02:00:35.800Z But since it is neither necessary nor desirable that the roller should roll along the whole length of the tooth, the radii of curvature of the tooth outline may be less than shown in fig. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z For the ellipsoid of rotation the measure of curvature is equal to 1/ρn, ρ and n being the radii of curvature of the meridian and perpendicular. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Here, r is the radius of curvature of the path of a charged particle with mass m and charge q , moving at a speed v perpendicular to a magnetic field of strength B . College Physics for AP Courses 2015-08-12T00:00:00Z The radius of curvature and normal are each equal to c sec� ψ. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5 "Cat" to "Celt" The radius of curvature of a catenary is equal and opposite to the portion of the normal intercepted by the directrix of the catenary. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" Thus the radius of curvature is constant; the path is therefore a circle, and if we can measure the radius of this circle we know the value of mv/He. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 8 "Conduction, Electric" Mr. Kneass, the chief engineer, submitted "a grade table and a table exhibiting the length of straight line, length of curve and radius of curvature" to the Directors on October 14th, 1831. A Pioneer Railway of the West Use the law of reflection to prove that the focal length of a mirror is half its radius of curvature. College Physics for AP Courses 2015-08-12T00:00:00Z For instance, if the radius of curvature of the cathode be 1.5 inches, the centre of curvature may lie something like an eighth of an inch or less in front of the anode. On Laboratory Arts Hence a catenoid whose directrix coincides with the axis of revolution has at every point its principal radii of curvature equal and opposite, so that the mean curvature of the surface is zero. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" The radius of curvature of this spherical indentation will vary slightly with the load and the depth of indentation. The Working of Steel Annealing, Heat Treating and Hardening of Carbon and Alloy Steel The radius of curvature of the beam at D is given by the relation R = EI/M. Fig. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" Among the things to consider are the types of ions, the velocities they can be given before entering the magnetic field, and a reasonable value for the radius of curvature of the paths they follow. College Physics for AP Courses 2015-08-12T00:00:00Z Measure the radius of curvature from the point of the tool along the bar, and bore a hole, whose centre is at this point, through the bar from the upper to the lower face. On Laboratory Arts Let the plane of the paper be a normal section of the surface of the stratum at the point B, making an angle ω with the section whose radius of curvature is R1. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" At this point the moon's orbit about the sun has a shorter radius of curvature than the earth's. Other Worlds Their Nature, Possibilities and Habitability in the Light of the Latest Discoveries Mangin in 1874 made a reflector of glass in which both outer and inner surfaces were spherical but of different radii of curvature, so that the reflector was thicker in the middle. Artificial Light Its Influence upon Civilization What is the radius of curvature of the path of a 10 MeV proton in this field? College Physics for AP Courses 2015-08-12T00:00:00Z The desired radius of curvature is easily attained by cutting out templates from sheet zinc and using them to gauge the turning. On Laboratory Arts We know that the radius of curvature of a surface of revolution in the plane normal to the meridian plane is the portion of the normal intercepted by the axis of revolution. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" In other words, the motion is one of translation, and the radius of curvature at P is infinite. Scientific American Supplement, No. 595, May 28, 1887 Concave basins cast in iron of the radii of curvature of proposed lenses are fixed in rows on a frame, and rubbed with water and emery. The Mirror of Literature, Amusement, and Instruction Volume 14, No. 404, December 12, 1829 This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvature—that is, a tight curve. College Physics for AP Courses 2015-08-12T00:00:00Z It is an application of the principle of having the cutting tool as long as the radius of curvature, and allowing it to move about the centre of curvature. On Laboratory Arts The catenaries which lie beyond the two generate surfaces whose radius of curvature convex towards the axis in the meridian plane is greater than the radius of concave curvature. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" Placing the crank in the opposite position OB, we find by a construction precisely similar to the above, the radius of curvature Ez at the other extremity of the axis of the curve. Scientific American Supplement, No. 595, May 28, 1887 In England the radius of curvature is limited to half a mile, or thereabouts. The Atlantic Monthly, Volume 02, No. 13, November, 1858 In that case, the conductor should be very smooth and have as large a radius of curvature as possible. College Physics for AP Courses 2015-08-12T00:00:00Z If the radius of curvature is anything more than one inch and the disc not more than one inch in diameter the cathode can be struck at once from the flat as described. On Laboratory Arts For the curvature of any surface at a given point may be completely defined in terms of the positions of its principal normal sections and their radii of curvature. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" In order to find the radius of curvature at any point on the generated curve, it is necessary to find not only the location of the instantaneous axis, but its motion. Scientific American Supplement, No. 595, May 28, 1887 If we wish to place the fluid-carrying pipe 40.0 cm from the concave mirror at the mirror’s focal point, what will be the radius of curvature of the mirror? College Physics for AP Courses 2015-08-12T00:00:00Z The smaller the radius of curvature, the smaller the focal length and, thus, the more powerful the mirror. College Physics for AP Courses 2015-08-12T00:00:00Z Take a bar of tool steel and cut it a little longer than the radius of curvature required. On Laboratory Arts This equation, which gives the pressure in terms of the principal radii of curvature, though here proved only in the case of a surface of revolution, must be true of all surfaces. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" Where is the filament of the light in relation to the focal point or radius of curvature of each mirror? College Physics for AP Courses 2015-08-12T00:00:00Z A small telescope has a concave mirror with a 2.00 m radius of curvature for its objective. College Physics for AP Courses 2015-08-12T00:00:00Z But since we assume each mirror is small compared with its radius of curvature, we can use the thin lens equations for mirrors just as we did for lenses. College Physics for AP Courses 2015-08-12T00:00:00Z A slate back is prepared of the same radius of curvature as it is desired to impart to the mirrors. On Laboratory Arts The larger the Fc , the smaller the radius of curvature r and the sharper the curve. College Physics for AP Courses 2015-08-12T00:00:00Z The radius of curvature of each side of the lens. College Physics for AP Courses 2015-08-12T00:00:00Z |
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