This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...the same latitude, at the height of 21000 feet above the first station, the radius of the earth being 3960 miles 1 Ans. 38.9218 in. 7. If a pendulum make 40000 vibrations in 6 hours, at the level of the sea, how many vibrations will it make in the same time, at an elevation of 10560 feet, the radius of the earth being ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...the same latitude, at the height of 21000 feet above the first station, the radius of the earth being 3960 miles 1 Ans. 38.9218 in. 7. If a pendulum make 40000 vibrations in 6 hours, at the level of the sea, how many vibrations will it make in the same time, at an elevation of 10560 feet, the radius of the earth being 3960 miles? Ans. 39979.8. 8. What is the length of a pendulum that will beat sidereal seconds, the length of the sidereal day being 23 hrs. 56 min. 4 sec.? Ans. 38.9257 inches. 9. What is the length of a pendulum that makes as many vibrations per minute as it is inches long? Ans. 52.03 inches. A, _, VI.--CENTRIFUGAL FORCE.--MOMENT OF INERTIA. Centrifugal Force in Terms of Angular Velocity. 124. When a material point is constrained to move in a curve it offers a resistance to the force that deflects it from its rectilineal path. This resistance, as stated in Article 110, is called the centrifugal force. It is shown, in the article referred to, that the value of the centrifugal force is given by the Equation, F=m, (195) in which m is the mass of the particle, v its lineal velocity, and r the radius of curvature of its path at the instant in question. If we denote the angular velocity of the point around the centre of curvature by u, its linear velocity will be equal to rto, and this substituted in (195), gives F=mrJ (196) This equation is often more convenient than (195). If we suppose the point to be restrained by a rigid curve, the centrifugal force is equal, and directly opposed to the reaction of the curve. If the material point m is whirled around a fixed point, being retained by a string, the centrifugal force is the measure of the tension of the string. Centrifugal Force of an Extended Mass. 125. We have supposed, in what precedes, that th..
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