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# Topic: Rotational energy

###### In the News (Mon 22 Jul 19)

 Rotational energy - Wikipedia, the free encyclopedia In SI units, rotational energy is measured in joules. The rotational energy of a rolling cylinder varies from one half of the translational energy (if it is massive) to the same as the translational energy (if it is hollow). Earth has a large amount of rotational energy: at its equator, it moves at the speed of ~450 m/s, hence 100 kJ/kg. en.wikipedia.org /wiki/Rotational_energy   (322 words)

 Kinetic energy - Wikipedia, the free encyclopedia The etymology of kinetic energy is the Greek word for motion kinesis and the Greek word for active work energeia. In another frame of reference the additional kinetic energy is that corresponding to the total mass and the speed of the center of mass. Relativity theory states that the kinetic energy of an object grows towards infinity as its velocity approaches the speed of light, and thus that it is impossible to accelerate an object to this boundary. en.wikipedia.org /wiki/Kinetic_energy   (1146 words)

 Shadows Chapter 19 Quarks and Four Spatial Dimension   (Site not responding. Last check: 2007-10-22) The remaining 1/3 of the total rotational energy associated with the rotational energy of an energy gradient of a unit electrical charge would be directed along a single coordinate plane of three-dimensional space that was parallel to the rotational axis of the energy gradients with respect to a fourth *spatial* dimension. Strange and Bottom quarks is associated with the rotational energy of an energy gradient directed along a single three-dimensional coordinate plane that is parallel in terms of a fourth *spatial* dimension, to the axis of rotation of the energy gradient responsible for a unit electric charge. However, this results in an imbalance in the rotational energies associated with the positive unit electric charge of a proton that is directed along the single coordinate plane of a three-dimensional space that is parallel to the rotational axis of the energy gradient associated with the unit electrical charge of a proton. home.comcast.net /~jeffocal/chapter19.htm   (1100 words)

 Rotational Kinetic Energy   (Site not responding. Last check: 2007-10-22) The kinetic energy of a rotating object is analogous to linear kinetic energy and can be expressed in terms of the moment of inertia and angular velocity. The total kinetic energy of an extended object can be expressed as the sum of the translational kinetic energy of the center of mass and the rotational kinetic energy about the center of mass. For the rotational case, also starting from rest, the rotational work is τθ and the angular acceleration α given to the flywheel is obtained from Newton's second law for rotation. hyperphysics.phy-astr.gsu.edu /hbase/rke.html   (254 words)

 World Intellectual Property Organization   (Site not responding. Last check: 2007-10-22) The roller is configured such that, upon rotating the ring relative to the shaft, the roller interferes with the ring and the shaft to convert and effect storage of mechanical energy created by the relative rotation of the ring and the shaft. The at least one roller is positioned such that, upon rotating the ring relative to the shaft, the roller interferes with the ring and the shaft to convert and effect storage of mechanical energy created by the relative rotation of the ring and the shaft. The rotational energy storage device recited by claim 22, further comprising a plurality of cam geometry means on said shaft which correspond to and cause said plurality of rollers to interfere with said ring. www.wipo.int /ipdl/IPDL-CIMAGES/view/pct/getbykey5?KEY=00/32359.030123&ELEMENT_SET=DECL   (7440 words)

 [No title] It is called the “moment of inertia” for rotational acceleration and depends upon the shape (geometry) of the rotating body and the location of the axis of rotation with respect to the center of mass. The total mechanical energy of a rotating and translating rigid object of mass, m, is the sum of translational kinetic energy, rotational kinetic energy, and translational potential energies. The sum of the kinetic and potential energies of the glider and bucket was the same before and after the bucket fell (ignoring friction, pulley and wheel spin energy and motion of the string). www.physics.rutgers.edu /ugrad/labs/online/Rotation.html   (1284 words)

 Rotational Spectra of Rigid Rotor Molecules The spectra for rotational transitions of molecules is typically in the microwave region of the electromagnetic spectrum. For a diatomic molecule the rotational energy is obtained from the Schrodinger equation with the Hamiltonian expressed in terms of the angular momentum operator. The rotational spectrum of a diatomic molecule consists of a series of equally spaced absorption lines, typically in the microwave region of the electromagnetic spectrum. hyperphysics.phy-astr.gsu.edu /hbase/molecule/rotrig.html   (398 words)

 NBS Monograph 115: 2. Symmetry prop. rotational energy levels In this chapter we discuss the symmetry properties of the rotational energy levels of diatomic molecules [1] (pp. The rotational levels of all diatomic molecules can be classified as + or - according to their parity, i.e., according to the behavior of the complete molecular wave function (apart from translation) when the laboratory-fixed Cartesian coordinates of all particles are replaced by their negatives. The rotational energy levels of homonuclear diatomic molecules can be classified in addition as s (symmetric) or a (antisymmetric) with respect to permutation of identical nuclei. physics.nist.gov /Pubs/Mono115/chap2.00.html   (1030 words)

 Rotational energy 8d   (Site not responding. Last check: 2007-10-22) The kinetic energy of an object is given as 1/2 M V^2. Hence, the kinetic energy of an object in circular motion equals 1/2 M x R^2 x omega^2. But M x R^2 is called the moment of inertia, I. Thus, the rotational kinetic energy is equal to 1/2 I omega^2. www.physics.unc.edu /~rowan/phys24/CHAP8D.html   (68 words)

 The Thomas Group - PTCL, Oxford This is an introduction to various aspects of quantized rotation and most particularly to methods of studying rotational energy levels, i.e. Determination of the rotational constants from the spectrum. The interactive applets below calculate (a) the infrared vibration rotation spectrum associated with a stretching vibration of a linear molecule and (b) the Raman pure rotation spectrum of a linear molecule. physchem.ox.ac.uk /~rkt/tutorials/rotation/rot_spectra.html   (1829 words)

 NBS Monograph 115 - 1. Calculation of Rotational Energy Levels In this monograph we shall define the various Hund's coupling cases in terms of two concepts: (i) the quantum number occurring in the expression for the rotational energy levels, and (ii) the good quantum numbers in the nonrotating-molecule problem. Rotational energies are given by these simple expressions only for pure Hund's coupling cases. Rotational energies for coupling cases intermediate between these pure coupling cases are given by much more complicated expressions. physics.nist.gov /Pubs/Mono115/chap1.01.html   (554 words)

 [No title]   (Site not responding. Last check: 2007-10-22) The reduced mechanical rotational energy is applied to wheel 362 to move the vehicle. Drive axle 650 is an differential axle capable of receiving the mechanical rotational energy from differential 640 and transferring the energy to wheel end assemblies 660. The reduced mechanical rotational energy is applied to wheel 662 to move the vehicle. www.wipo.int /cgi-pct/guest/getbykey5?KEY=03/93046.031113&ELEMENT_SET=DECL   (7155 words)

 Rotational Energy The rotational energy of an object can be distinguished from the translational kinetic energy. The work does not appear as translational kinetic energy of the bicycle, rather the motion of the wheel can be viewed as motion of the many separate parts of the wheel. The kinetic energy of the balls of the barbell that rotates with total momentum ZERO is termed Rotational Kinetic Energy in order to contrast with Translational Kinetic Energy. www.umich.edu /~amophys/125/eighteen/node2.html   (481 words)

 Rotational Kinetic Energy of a Soup Can To analyze the energy of the rotating soup can, you will need to look at the data taken while the can was falling. The total kinetic energy of the soup can is the sum of its translational and rotational kinetic energy. In a new column, calculate the fraction of kinetic energy that is rotational energy. homepage.mac.com /cbakken/physlab/plab99/labs/jwaldbieser/jwaldbieser.htm   (849 words)

 Rotational kinetic energy The rotational kinetic energy is treated like any other form of energy, in that it can be transformed into other forms (eg, potential), and also it is a component of the (conserved) total energy of a system. In this case the total kinetic energy of the cylinder is the sum of its rotational kinetic energy plus its translational kinetic energy. In addition, the change in gravitational potential energy is the same for both cylinders (the weight of the cylinder times the height of the ramp), so both cylinders must have the same total kinetic energy at the bottom of the ramp. theory.uwinnipeg.ca /mod_tech/node50.html   (416 words)

 PIRA 1Q20.00 ROTATIONAL ENERGY   (Site not responding. Last check: 2007-10-22) A horizontal bar mounted at its midpoint on a turntable has pegs for mounting weights at various distances, and is accelerated by a string to falling mass. Use a large DC motor and a large wheel to show the angular acceleration of a rotating body with a constant driving torque. Comparison of the motion in the two cases shows the effect of the rotational motion in rolling. www.physics.ncsu.edu:8380 /pira/1mech/1Q20.html   (871 words)

 171 PS 12: Energy Conservation and Rotational Energy For the energy systems we have been studying, any energy not accounted for as potential energy or kinetic energy is lost energy. The potential energy of the block at 30 m is converted into kinetic energy. At 0 m the block's kinetic energy is equal to it's original potential energy (assuming no losses to air resistance). homepages.tscnet.com /ddavis/171_ps12.html   (599 words)

 Reference.com/Encyclopedia/Kinetic energy The kinetic energy of a body is equal to the amount of work needed to establish its velocity and rotation, starting from rest. Heat is a form of energy due to the total kinetic energy of molecules and atoms of matter. The relationship between heat, temperature and kinetic energy of atoms and molecules is the subject of statistical mechanics. www.reference.com /browse/wiki/Kinetic_energy   (533 words)

 Rotational Energy There are two general approaches to this problem: using conservation of energy (see below) and Newton's second law (see the section on rotational dynamics). The potential energy of the roll at the top becomes kinetic energy in two forms at the bottom. Replace the translational speed (v) with its rotational equivalent (Rω), replace the moment of inertia (I) with the equation for a hollow cylinder (see below), and clean it up a bit. hypertextbook.com /physics/mechanics/rotational-energy/index.shtml   (294 words)

 Rotational Motion [encyclopedia]   (Site not responding. Last check: 2007-10-22) This means that the force actually exerted on the rotating disk, and so its angular acceleration, is proportional both to the length of the lever arm and the force exerted at the end of that lever arm. This means that Dexter grasps a rotating shaft with his right hand so that his fingers point in the direction of the rotation, then sticks his thumb out, his thumb gives the direction of the angular momentum vector. Didi stands on a platform that is free to rotate and holds a bicycle tire with handgrips on an axle in front of her, with the tire in the vertical plane. www.kosmoi.com /Science/Physics/Mechanics/tpecp2.html   (5505 words)

 Rotational Energy Barrier The activation energy for rotation about the C-N amide bond in N,N-dimethylacetamide is measured experimentally with temperature dependent NMR and modeled using MOPAC. In the case of rotation, this is the dihedral angle across the rotating bond. The simplest model explaining the barrier to rotation is the resonance structure formed by partial donation of the nonbonding electron pair on the nitrogen to the C-N amide bond. www.chem.pacificu.edu /johnson/courses/rotation/rotation.html   (884 words)

 MSN Encarta - Search Results - Rotational energy   (Site not responding. Last check: 2007-10-22) Energy, capacity of matter to perform work as the result of its motion or its position in relation to forces acting on it. Energy, Department of (DOE), executive department of the U.S. government, created by Congress in 1977. Solar Energy, radiation produced by nuclear fusion reactions deep in the Sunâ€™s core (Nuclear Energy). encarta.msn.com /encnet/refpages/search.aspx?q=Rotational+energy   (151 words)

 [No title] Rotational Motion - subdivided into rotations around the x-, y-, and z-axes with each such rotation contributing ½RT to the average molar rotational energy. A linear molecular has two such qualified rotations (rotation around the molecular axis does not qualify as the atoms are located directly on the rotation axis) and its average molar energy stored in rotational motion is Each of these normal vibrational modes contributes RT to the average molar energy of the substance and is a primary reason why heat capacities increase with molecular complexity. www.towson.edu /~debye/chem39x/s02/110expmolec_vibes.html   (942 words)

 [No title] Rotational transitions occur in the infra red region of the electromagnetic spectrum. The rotational constant, (e, (cm —1) of a diatomic molecule is defined by  EMBED Equation.3  (1.4) where, h is Planck’s constant, and c is the speed of light in units of cm/s. Theoretical rotational energy levels of rigid rotors take into account this distortion by introducing a centrifugal distortion constant, D described by  EMBED Equation.3  (1.5) where  EMBED Equation.3 is the harmonic frequency in (cm-1) at the bottom of the Morse Potential discussed in the next section. www.ollusa.edu /academic/cas/chem/pchem/Procedure7CarbonMonoxide.doc   (4924 words)

 (WO 00/032359) ROTATIONAL ENERGY STORAGE DEVICE AND TOOLS INCORPORATING SAME [Repub: 23.01.2003]   (Site not responding. Last check: 2007-10-22) (57) A rotational energy storage device (10) or spring which includes a roller-cam assembly having a shaft (14), a ring (12) rotatably disposed about the shaft, and at least one roller (16) disposed between shaft and ring. The roller (16) is configured such that, upon rotating the ring relative to the shaft, the roller interferes with the ring and the shaft to convert and effect storage of mechanical energy created by the relative rotation of the ring and the shaft. A rotational energy storage device having a back-up ring with alternating thin and thick cross-sectional areas is further provided which is indexed to provide regions of low and high stiffness regions against each roller. wipo.int /ipdl/IPDL-CIMAGES/view/pct/getbykey5?KEY=00/32359.030123&...   (276 words)

 MEASURE ROTATIONAL INERTIA: ENERGY METHOD Exp In this exercise the student will use conservation of energy principles to measure the rotational inertia of an object. The rotational inertia, I, can be found as soon as one measures the fall distance, h, and the time of fall, t. The rotational inertia of a disk is given in Equation 6: www.physics.utoronto.ca /~jharlow/teaching/deptlabs/inertia.htm   (957 words)

 Rotational Kinetic Energy The kinetic energy of rotation of a rigid body is obtained by first dividing it up into a collection of smaller masses, and then summing up the kinetic energies due to the tangential velocities of the individual masses making up that rigid body: Note: The units of rotational kinetic energy are Joules (J). When considering the total mechanical energy of a rigid body, this kinetic energy must be added to the kinetic energy of translation: theory.uwinnipeg.ca /physics/rot/node6.html   (83 words)

 [No title] where v is the velocity that is perpendicular to the radius, r, from the center of rotation. Measure r, the distance between the center of the mass, m, and the axis of rotation (rotation radius). Now determine whether mechanical energy was conserved when the mass was dropped onto the rotating disk. www.physics.rutgers.edu /ugrad/labs/rotational.html   (2152 words)

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