Set-theoretic limit: Difference between revisions

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{{about|the rotation of an object around a single axis (a one-dimensional rotation)|the kinetic energy of an object that rotates in three dimensions|rigid rotor}}
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The '''rotational energy''' or '''angular kinetic energy''' is the [[kinetic energy]] due to the rotation of an object and is part of its [[Kinetic energy#Rotation in systems|total kinetic energy]]. Looking at rotational energy separately around an object's [[axis of rotation]], one gets the following dependence on the object's [[moment of inertia]]:
 
:<math>E_\mathrm{rotational} = \frac{1}{2} I \omega^2 </math>
where
: <math> \omega \ </math> is the [[angular velocity]]
: <math> I \ </math> is the [[moment of inertia]] around the axis of rotation
: <math> E \ </math> is the [[kinetic energy]]
The [[mechanical work]] required for / applied during rotation is the torque times the rotation angle. The instantaneous [[power (physics)|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:
 
:<math>E_\mathrm{translational} = \frac{1}{2} m v^2 </math>
 
In the rotating system, the [[moment of inertia]], ''I'', takes the role of the mass, ''m'', and the [[angular velocity]], <math> \omega </math>, takes the role of the linear velocity, ''v''. The ''rotational energy'' of a [[wheel|rolling]] [[cylinder (geometry)|cylinder]] varies from one half of the translational energy (if it is massive) to the same as the translational energy (if it is hollow).
 
As an example, let us calculate 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<sup>−5</sup> rad/s. The Earth has a moment of inertia, I = 8.04×10<sup>37</sup> kg·m<sup>2</sup>.<ref>[http://scienceworld.wolfram.com/physics/MomentofInertiaEarth.html Moment of inertia--Earth], Wolfram</ref> Therefore, it has a rotational kinetic energy of 2.138×10<sup>29</sup> J.
 
Part of it can 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 [[Angular momentum#Conservation of angular momentum|conservation]] of [[angular momentum]] this process transfers angular momentum to the [[Moon]]'s [[orbit]]al 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==
{{reflist}}
{{Footer energy}}
 
{{DEFAULTSORT:Rotational Energy}}
[[Category:Forms of energy]]
[[Category:Rotation]]

Latest revision as of 05:28, 6 December 2014

Epoxy, a form of resin, is recognized as an extremely durable glue type, which renders top-notch level of bonding properties. It is usually sold in 2-different packages known as Part A (resin) and Part B (hardener). It is important to blend both the parts in exact ratios before utilizing them to avail a specific strength. This adhesive can securely bind numerous materials like plastics, wood and metals. These adhesives provide solid bonding properties and can serve as a tough layer of protection as well.

Industrial Uses

The rudiments of epoxy can be derived from petroleum products, one being Bisphenol-A, which provides this chemical its boding efficiency. Another component in this resin is Epichlorohydrin that aids the chemical and provides a strong layer, which is resistant to moisture, humidity and an array of varying temperatures.

The qualities like strong bonding and hard coating make these adhesives a perfect choice for thermosetting epoxide polymer to be utilized with metals, which undergo great levels of stress. Some instances of such applications are, metal plating on ships and hulls of airplanes. The versatility of these adhesives facilitates it to be utilized even in the construction of wooden furniture. If you loved this information and you would want to receive more information relating to resinas i implore you to visit our own website. In this application, this hardener is able to secure sections of frames and acts as a coat of protection when it is utilized to varnish the finished product. Varnishing utilizing epoxies render the product an alluring finish and are highly potent to sustain that eye-catching look for many years.

Household Uses

Moreover, you can utilize these resins to repair defected household products. For instance, if the leg of a chair has begun to wobble, you can apply this adhesive to secure the joint.

It acts as a hardener, which creates robust joints and renders it with durability to endure any amounts of stress that it may undergo.

Some other applications of this hardener in household includes repair of broken clocks, antique picture frames, making candles and components that might have fallen off from a device. These chemicals serve as an effective substitute to any other forms of glue, which you might be utilizing to repair household stuff.

When using this hardener, keep in mind to mix the vital elements (as instructed on the pack) before applying it to the components. Different brands of epoxy come with different time limit, like, how much time is required for the chemical to dry up and provide a sturdy bond.

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