uniform circular motion वाक्य
उदाहरण वाक्य
मोबाइल
- Plato proposed that the seemingly chaotic wandering motions of the planets could be explained by combinations of uniform circular motions centered on a spherical Earth, apparently a novel idea in the 4th century.
- Eudoxus of Cnidus, who worked with Plato, developed a less mythical, more mathematical explanation of the planets'motion based on Plato's dictum stating that all phenomena in the heavens can be explained with uniform circular motion.
- Consistent with the first law, the time derivative of the momentum is non-zero when the momentum changes direction, even if there is no change in its magnitude; such is the case with uniform circular motion.
- This violated one of the fundamental principles of Aristotelian cosmology namely, that the motions of the planets should be explained in terms of uniform circular motion, and was considered a serious defect by many medieval astronomers.
- However, in the years following publication of " de Revolutionibus ", for leading astronomers such as Erasmus Reinhold, the key attraction of Copernicus's ideas was that they reinstated the idea of uniform circular motion for the planets.
- Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position " s " constitutes non-uniform circular motion at that position with radius " ? ".
- For example, the centripetal force exerted " inwards " by a string on a ball in uniform circular motion " sideways " constrains the ball to circular motion restricting its movement away from the center of the circle.
- Whereas Greek astronomers expressed " prejudice in favor of circles or spheres rotating with uniform motion ", such a preference did not exist for Babylonian astronomers, for whom uniform circular motion was never a requirement for planetary orbits.
- Thanks to his examination of the meticulous observations compiled by astronomer Tycho Brahe, Kepler " was the first to understand the nature of the departures from uniform circular motion that had puzzled astronomers since the time of Plato ."
- The equant solved the last major problem of accounting for the anomalistic motion of the planets but was believed by some to compromise the principles of the ancient Greek philosopher / astronomers, namely uniform circular motion about the Earth.
- To do so, he proposed in a work called Tahrlr al-Majisti, which was completed in 1247, that the oscillatory motion be produced by the combined uniform circular motions of two identical circles, one riding on the circumference of the other.
- He considered that some of the mathematical devices Ptolemy introduced into astronomy, especially the equant, failed to satisfy the physical requirement of uniform circular motion, and noted the absurdity of relating actual physical motions to imaginary mathematical points, lines and circles:
- :The video was tldr, but the prof may have made the same mistake I made when reading this question, which was reading " uniform circular motion " and thinking " simple harmonic motion " . talk ) 00 : 27, 31 July 2008 ( UTC)
- In contrast, the examples in Centrifugal force ( rotating reference frame ) describe motion as seen strictly from a rotating frame, and, moreover, that article is devoted to objects in uniform circular motion, not in general planar motion . talk ) 04 : 32, 11 October 2008 ( UTC)
- Therefore, it cancels out the ubiquitous centrifugal force found in the first example, and goes a step further to provide exactly the centripetal force demanded by uniform circular motion, so the rotating observer calculates there is no need for tension in the string " the Coriolis force looks after everything.
- Because the planetary spheres each move unfalteringly for all eternity in uniform circular motion with a given rotational period relative to the supreme diurnal motion of the sphere of fixed stars ( or First Heaven ), they must each love and desire to mimic different unmoved movers corresponding to the given periods.
- Nasir al-Din al-Tusi ( 1201 1274 ), a Persian astronomer and mathematician who died in Baghdad, authored the " Treasury of Astronomy ", a remarkably accurate table of planetary movements that reformed the existing planetary model of Roman astronomer Ptolemy by describing a uniform circular motion of all planets in their orbits.
- In the case of rotation around a fixed axis of a rigid body that is not negligibly small compared to the radius of the path, each particle of the body describes a uniform circular motion with the same angular velocity, but with velocity and acceleration varying with the position with respect to the axis.
- To generate a uniform circular motion, use a uniformly increasing time parameter t and set x = x0 + r cos ( w t ) and y = y0 + r sin ( w t ) for some radius r, angular speed w, and center point ( x0, y0 ) . 169.230.94.28 02 : 37, 9 July 2007 ( UTC)
- From that, Newton's Law of Universal Gravitation, and the equation for uniform circular motion ( I'm making the simplifications that ( 1 ) the moon's orbit is circular, and ( 2 ) the Moon orbits the Earth, rather than both orbiting a common centre of mass ), you should be able to get an equation relating the mass, orbital velocity and orbital radius of a satellite.
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