Rotational energy - wikipedia Rotational energy This article is about the rotation of an object around a single axis ( a one - dimensional rotation ). For the kinetic energy of an object that rotates in three dimensions, see rigid rotor. Play media Paper roll wound up on strings and released to fall, illustrating the rotational energy of a round body and how it strays when in vertical fall because of it. The demonstration is repeated by winding up the roll in the opposite direction, to show that the falling roll will stray in the other direction as a result. Performed by Prof. Oliver Zajkov at the Physics Institute at the Ss. Cyril and Methodius University of Skopje, Macedonia. Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object 's axis of rotation, the following dependence on the object 's moment of inertia is observed : E r o t a t i o n a l = 1 2 I ω 2 ( displaystyle E_ ( mathrm ( rotational ) ) = ( \frac ( 1 ) ( 2 ) ) I omega ^ ( 2 ) ) where ω ( displaystyle omega ) is the angular velocity I ( displaystyle I ) is the moment of inertia around the axis of rotation E ( displaystyle E ) is the kinetic energy The mechanical work required for / applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity. For free - floating ( unattached ) objects, the axis of rotation is commonly around its center of mass. Note the close relationship between the result for rotational energy and the energy held by linear ( or translational ) motion : E t r a n s l a t i o n a l = 1 2 m v 2 ( displaystyle E_ ( mathrm ( translational ) ) = ( \frac ( 1 ) ( 2 ) ) mv ^ ( 2 ) ) In the rotating system, the moment of inertia, I, takes the role of the mass, m, and the angular velocity, ω ( displaystyle omega ), takes the role of the linear velocity, v. 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 ). An example is the calculation of the rotational kinetic energy of the Earth. As the Earth has a period of about 23.93 hours, it has an angular velocity of 7.29 × 10 rad / s. The Earth has a moment of inertia, I = 8.04 × 10 kg m. Therefore, it has a rotational kinetic energy of 2.138 × 10 J. Another example of actually using earth 's rotational energy is the locating of opportune spaceports. The European spaceport in French Guiana ( Guiana Space Centre ) is within about 5 degrees of the equator, so space rocket launches ( for primarily geo - stationary satellites ) from here to the east obtain nearly all of the full rotational speed of the earth at the equator ( about 1,000 mph, sort of a `` sling - shot benefit ). Rocket launches easterly from Kennedy ( USA ) on the other hand obtain only about 400 mph added benefit, due to the lower relative rotational speed of the earth at that northerly latitude. This saves significant rocket fuel per launch, so this tends to be a relatively more economic spaceport. Part of the earth 's rotational energy can also be tapped using tidal power. Additional friction of the two global tidal waves creates energy in a physical manner, infinitesimally slowing down Earth 's angular velocity ω. Due to the conservation of angular momentum, this process transfers angular momentum to the Moon 's orbital motion, increasing its distance from Earth and its orbital period ( see tidal locking for a more detailed explanation of this process ). See also Flywheel List of energy storage projects Rigid rotor Rotational spectroscopy References Jump up ^ Moment of inertia -- Earth, Wolfram Energy Fundamental concepts Energetics Energy Units Energy system Energy transformation Mass Mass -- energy equivalence Power Thermodynamics Laws of thermodynamics Exergy Forms Kinetic Potential Mechanical Electric Magnetic Gravitational Chemical Ionization Nuclear Chromodynamic Elastic Mechanical wave Sound wave Radiant Rest Thermal Energy carriers Enthalpy Fuel fossil fuel Heat Work Electricity Battery Capacitor Primary energy Fossil fuel Coal Petroleum Natural gas Gravitational energy Nuclear fuel Natural uranium Radiant energy Solar Wind Bioenergy Hydropower Marine energy Geothermal Energy system components Energy engineering Oil refinery Fossil - fuel power station Cogeneration Integrated gasification combined cycle Nuclear power Nuclear power plant Radioisotope thermoelectric generator Solar power Photovoltaic system Concentrated solar power Solar thermal energy Solar power tower Solar furnace Wind power Wind farm High - altitude wind power Hydropower Hydroelectricity Wave farm Tidal power Biomass Geothermal power Use and supply Energy consumption World energy consumption Energy security Energy conservation Efficient energy use Transport Agriculture Renewable energy Sustainable energy Energy policy Energy development Worldwide energy supply South America USA Mexico Canada Europe Asia Africa Australia Misc. Jevons 's paradox Carbon footprint Retrieved from `` https://en.wikipedia.org/w/index.php?title=Rotational_energy&oldid=805979890 '' Categories : Forms of energy Rotation Talk About Wikipedia Čeština Deutsch Español Français हिन्दी Italiano Bahasa Melayu Русский 中文 Edit links This page was last edited on 18 October 2017, at 21 : 37. About Wikipedia

Question: the energy of earth's rotation is an example of
Answer: Rotational energy