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What is the law of inertia for rotating systems in terms of angular momentum?
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∙ 12y ago
An object or system of objects will maintain its angular momentum unless acted upon by an external net torque.
Wiki User
∙ 12y ago
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Why is fly-wheel's mass mostly concentrated in its rim?
In rotating systems like a flywheel, how the mass is distributed is just as important as total mass. To maximize moment of inertia (the equivalent of inertial mass) you want the mass as far to the outside as possible. A flywheel of uniform thickness has only 60% the moment of inertia compared to one that's all rim.
Which resistance equipment may be referred to as double positive?
machine systems providing dynamic constant angular velocity
When is momentum conserved?
its not possible.. momentum is always conservedYou could say that momentum, in its classical definition, is not conserved at relativistic velocities. Momentum is conserved at relativistic speeds if momentum is redefined as; p = γmov where mo is the "rest (invariant) mass" and γ is the Lorentz factor, which is equal to γ = 1/√(1-ʋ2/c2) and ʋ is the relative velocity. Some argue that the relativistic mass, m' = γmo, is unnecessary, in which case the proper velocity,defined as the rate of change of object position in the observer frame with respect to time elapsed on the object clocks (its proper time) can be used.Proper velocity is equal to v = γʋ, so p = mov. mo here is the invariant mass, where before it represented the "rest mass."The problem with Newton's p = mv, is that with this definition, the total momentum does not remain constant in all isolated systems, specifically, when dealing with relativistic velocities. Mass and or velocity is dependent on the relative velocity of the observer with respect to the isolated system.It is important to add that with this new definition momentum is conserved. With that said, my point is not to argue that momentum is not always conserved but to simply offer an explanation for the relatively (no pun intended) common statement "momentum is not conserved in ALL isolated systems" which could be where the original question stems from.
How does Nikola Tesla's AC motor work?
Edison and Tesla came to technological blows in the late 1800s when Tesla's AC (alternating current) power systems that are used all over the world today came into competition with Edison's DC (direct current) power systems. As it turns out, Tesla's system was the better one. In 1882, Serbian inventor Nikola Tesla identified the rotating magnetic induction field principle used in alternators and pioneered the use of this rotating and inducting electromagnetic field force to generate torque in rotating machines. An AC motor is an electric motor that is driven by an alternating current. It consists of two basic parts, an outside stationary stator having coils supplied with alternating current to produce a rotating magnetic field, and an inside rotor attached to the output shaft that is given a torque by the rotating field.
What do closed systems not exchange?
This depends on what is meant by "closed system". If you are doing thermodynamics, this seemingly English language phrase means systems which exchange energy in or out of the system, but not mass: no mass in / no mass out. If you really understand physics you will recognize some nonsense here, because energy has mass. But, it works for thermodynamics. For other areas of science, a more appropriate definition is no exchange of energy of any kind, no exchange of mass of any kind, no exchange of momentum of any kind. Perhaps such a system should be called an isolated system.
Why does the world spin on its axces?
The world spins on its axis as a result of its creation in the solar systems angular momentum. The forces that created the earth involved forces that created spin around the spin axis.
What has the author Nelson J Groom written?
Nelson J Groom has written: 'Evaluation of a laboratory test model annular momentum control device' -- subject(s): Control systems, Magnetic memory (Computers), Angular momentum, Magnetic suspension, Space vehicles 'Analysis and simulation of a magnetic bearing suspension system for a laboratory model annular momentum control device' -- subject(s): Control systems, Space vehicles, Momentum (Mechanics), Magnetic suspension
Momentum of a system is conserved only when?
When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.When no momentum is exchanged with other objects/systems.
Why is fly-wheel's mass mostly concentrated in its rim?
In rotating systems like a flywheel, how the mass is distributed is just as important as total mass. To maximize moment of inertia (the equivalent of inertial mass) you want the mass as far to the outside as possible. A flywheel of uniform thickness has only 60% the moment of inertia compared to one that's all rim.
Why does the world pivot on its axis?
The world spins around because of the way the solar system was formed as a spinning cloud of matter. This then it began to collapse in on itself as it did this the heat at the centre became so great that the sun ignited and pushed out all the matter which then formed the planets, still spinning because of the energy from the explosion as the sun ignited.Supplement 2 As far as the planets are concerned, they would have had some net rotational momentum, the residual of all the components that made the planet.This rotational energy cannot be destroyed - it however might be cancelled out by opposite-spin material.BUT back to the question. The Earth carries the residual net spin from its assembly from space debris.Answer:The rotation comes about from the conservation of angular momentum. The formula for angular momentum is:L=mwr2m is the mass,w is the angular velocity in radians per second, andr is the radius of the circular motion.Due to conservation of angular momentum, as the radius of the orbit decreases, then its angular velocity must increase (as the mass is constant). As a consequence the parts of the planet closer to the primary (the Sun) must rotate faster than the parts furthest from the Sun. This causes the spin.This all relates to the fact that planetary and stellar systems are born from the collapse of dense interstellar clouds. As the clouds collapse even a small rotation is magnified by the contraction. If the clouds were not rotating (matter fell straight to the center of the system) there would be no planets.
How is a solar system a combination of smaller systems?
They're rotating bodies, so... the moons around a planet would also be systems.
Which resistance equipment may be referred to as double positive?
machine systems providing dynamic constant angular velocity
What has the author Tero Kaipio written?
Tero Kaipio has written: 'Control of machine drives for varying inertia systems'
Moment of inertia and torsional vibrations?
in torsional vibrations moment of inertia is a very important determining factor. it is a quantitative measure of the resistance of an object to torsion. it is synonymous to mass in displacement systems. the greater the moment of inertia the lesser the degree of torsional vibrations and vice versa. moment of inertia relates torsional vibrations to the geometry of the part considered irrespective of its composing material and its strength.
What is the axis of all planets?
Each planet (and the Sun) rotates about its own axis. The axis is an imaginary line between the poles of a planet. All points on the planet rotate around this central line. The angular momentum vectors of the Sun and planets together can be added up and the result is an equivalent rotation in a plane called Laplace's invariable plane. The invariable plane lies within about half a degree of the plane of Jupiter's orbit. About 98% of the angular momentum in the Solar System is contributed by the four outer planets. That means that if those planets were collapsed into the Sun it would rotate 50 times faster and throw off a new belt of debris, eventually forming a new solar system. That argument explains why there are so many solar systems.
What is the speed of a black hole?
Strictly speaking, it does not quite make sense to compare the "speed of rotation" of a black hole (BH) with c, the speed of light, because a BH, unlike a planet or a star, has no physical surface that can have a velocity. Even at the event horizon (the one-way surface, from which neither light nor matter can escape, and which shrouds the central singularity), an observer -- if one could somehow manage to survive the tidal stresses there -- would find nothing but empty space. Of course, almost the most basic principle of Special Relativity is that no velocity can be attached to space itself.Yet a BH may have angular momentum, and thus may be considered to rotate in somewhat the same sense that an elementary particle's spin is an intrinsic rotation. A rotating (uncharged) BH is described by the Kerr (1963) solution to Einstein's equations for the gravitational field. (Einstein's equations are a set of partial differential equations defining the curvature of spacetime in terms of the distribution of mass and energy; they play much the same role in the theory of gravitation as Maxwell's equations play in electromagnetic theory.) Such Kerr BHs are characterized by mass M and angular momentum J. It turns out that, for a given M, there is a maximum allowed J:Jmax < M2G/c.So in this somewhat loose sense, there actually is a maximum "rotation speed" for a BH.Whether a particular star has J over or under the limit depends on its mass, rotation speed, and spatial extent. Since real stars tend to have most of their mass concentrated near their centers, the internal distribution of mass, rather than just the optical diameter, is important. The Sun, due to its rather slow (25-day) rotation, has an angular momentum of about 1.63x1048 gm-cm-2-s-1 (assuming uniform rotation throughout, and standard models for the interior mass distribution; Allen 1970), which is only 0.185 of the maximum value allowed were it to somehow collapse to become a BH. But a rapidly rotating massive star will typically have an angular momentum exceeding its Jmax, and such stars must shed angular momentum and some mass before they could form BHs.Exactly how this might be accomplished remains incompletely understood in detail, despite substantial theoretical interest and investigation in recent years. Observationally, as techniques have improved, more and more candidate BHs have been seen to be associated with narrow jets or beams, in which matter is ejected at relativistic speeds. Such jets may well be related to the need for compact systems to shed angular momentum as matter is accreted by the central object.Misner, Thorne, and Wheeler (1973) exhaustively discuss the General Relativity background needed to fill in all the details of this rather sketchy discussion, and also treat black holes particularly thoroughly.
What type of operating equipment does a rotary rig use?
The operating equipment of a rotary rig can be divided into three systems: hoisting, rotating, and circulation.
