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Topic: Conservation of angular momentum


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In the News (Tue 10 Nov 09)

  
  Angular momentum - Wikipedia, the free encyclopedia
In physics the angular momentum of an object with respect to a reference point is a measure for the extent to which, and the direction in which, the object rotates about the reference point.
In particular, if the body rotates about an axis, then the angular momentum with respect to a point on the axis is related to the mass of the object, the angular velocity and the distance of the mass to the axis.
Angular momentum can also be calculated by multiplying the square of the displacement 'r',the mass of the particle and the angular velocity.
en.wikipedia.org /wiki/Angular_momentum   (1024 words)

  
 generic document for building HyperPhysics
The conservation of energy principle is one of the foundation principles of all science disciplines.
The angular momentum is a vector quantity and the vector sum of the angular momenta of the parts of an isolated system is constant.
Conservation of Momentum: the mass times the velocity of the center of mass is constant.
hyperphysics.phy-astr.gsu.edu /hbase/conser.html   (631 words)

  
 Conservation of Angular Momentum
Angular momentum of a rotating object is a function of its mass, its size and shape, and its rate of rotation.
Recall that linear momentum is mv, and that for rotational motion the thing analogous to m is I, the inertia (or "moment of inertia") and the thing analogous to v is w, the rotational velocity in radians per second.
Angular momentum of a particle is r x p, where r is distance vector from some reference point, and p is linear momentum mv.
instruct.tri-c.edu /fgram/WEB/AngMom.htm   (1058 words)

  
 PlanetPapers - Angular Momentum   (Site not responding. Last check: 2007-10-13)
Angular momentum and its properties were devised over time by many of the great minds in physics.
Angular momentum is also essential to our very existence, without the conservation of angular momentum we might drift into the sun or away into space.
Angular momentum is a very important part of physics and physics is a very important part of angular momentum.
www.planetpapers.com /Assets/1191.php   (1270 words)

  
 Angular Momentum   (Site not responding. Last check: 2007-10-13)
Ordinary momentum is a measure of an object's tendency to move at constant speed along a straight path.
Angular momentum measures an object's tendency to continue to spin.
conservation of angular momentum---the total amount of angular momentum does not change with time no matter how the objects interact with one another.
www.astronomynotes.com /angmom/s1.htm   (329 words)

  
 The Biomechanics of Skating: Conservation of Angular Momentum
For example, it is important to understand the concepts of force, angular displacement, angular velocity, and momentum to fully comprehend the analysis of the figure skating jumps and spins.
The objectives of this unit is to use example from figure skating to become familiar with the concept of conservation of angular momentum, to be able to solve basic angular momentum problems, and to learn great examples from figure skating for teaching the conservation of angular momentum to your students.
Conservation of angular momentum is the principle that the angular momentum of an object remains constant as long as no external torque, or moment, acts on that object.
btc.montana.edu /olympics/physbio/biomechanics/cam-intro.html   (343 words)

  
 Conservation law - Open Encyclopedia   (Site not responding. Last check: 2007-10-13)
In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves.
For instance, time invariance implies that energy is conserved, translation invariance implies that momentum is conserved, and rotation invariance implies that angular momentum is conserved.
In fact, quantities that are conserved, the invariants, seem to preserve what one would like to call some kind of a 'physical reality' and seem to have a more meaningful existence than many other physical quantities.
open-encyclopedia.com /Conservation_law   (336 words)

  
 Conservation of Angular Momentum
Angular momentum is the tendency of a rotating object to keep rotating at the same speed about the same axis of rotation.
Angular momentum is measured with respect to a certain axis of rotation.
So the angular momentum of the ball with respect to the axis of rotation is its mass (b) times its velocity (s) times the distance of the impact point from the axis of rotation (d).
www.racquetresearch.com /angmom.htm   (787 words)

  
 The Biomechanics of Skating: Conservation of Angular Momentum
While we illustrated this concept with a figure skating spin, angular momentum is not actually conserved in a spin due to the friction of the ice.
This means that however much angular momentum the skater generated during take-off (by applying forces to the ice), he or she can not change it in the air.
Knowing the amount of angular momentum, and the average rotation speed he must attain to complete the 1-1/2, 2-1/2 and 3-1/1 revolutions in 0.5 seconds, calculate the average moment of inertia of each jump.
btc.montana.edu /olympics/physbio/biomechanics/cam03.html   (1159 words)

  
 Science 122 Program 18 Momentum & Conservation
When momentum is defined this way, as Newton defined it, "the quantity of motion", it becomes apparent that the force required to stop a moving mass depends on its momentum, not on the mass or the velocity alone.
Although conservation of momentum has only limited practical usefulness, if any in our everyday world, it is important to our study of the heritage of ideas for several reasons.
We saw howthe concept of conservation of momentum is related to symmetry, and how it can predict the behavior of many kinds of interactions, from collisions and explosions, to the motion of the planets in their elliptical orbits.
honolulu.hawaii.edu /distance/sci122/Programs/p18/p18.html   (1685 words)

  
 Conservation of Angular Momentum
Angular Momentum: A property of any rotating or revolving system whose value depends on the distribution of mass and velocity about the axis of rotation or revolution.
Conservation of Angular Momentum: The principle that in any system of rotating and/or revolving bodies the angular momentum is conserved (remains the same) provided that no external torque (force) is applied to the system.
In the early solar system, where a large cloud of gas and dust was contracting, the rate of rotation of the protosun had to increase dramatically if angular momentum was conserved.
www.astronomy.org /astronomy-survival/ang.html   (126 words)

  
 Physics - Angular Momentum and Conservation
The total angular momentum of a rotating body remains constant if the net torque acting on it is zero.
What is the angular momentum of a 333 g ball rotating on the end of a string in a circle with a diameter of 2.50 m at 2.89 rpm?
A nonrotating rod of the same mass and with a length of the turntable's diameter is dropped on to the turntable.
www.geocities.com /smgrey66/lessons/angmomc.htm   (648 words)

  
 Conservation of Angular Momentum and Energy
Hidden in Newton's laws are the conservation of energy, and the conservation of angular momentum.
where L is the angular momentum, m is the mass of the small object, v is the magnitude of its velocity, and r is the separation between the small and large objects.
The planets could have gained this angular momentum before or after their formation, but it is believed that they were likely formed from gas material that was already orbiting the Sun.
www.pas.rochester.edu /~blackman/ast104/angmom.html   (843 words)

  
 Angular Momentum Intuition
I think I understand why linear momentum is conserved, and I believe that it is the foundation of all Newton's laws, and therefore the basis of classical physics.
The conservation of linear momentum carries with it an implicit assumption that in the observers reference frame the particle path is a straight line and that changes in position are measured with respect to a point on that line.
The more general conservation law is that the quantity rXp is conserved in the absence of an external net torque on a particle, where r is the vector from a reference point to the particle and p is the product of the instantaneous velocity vector times the mass.
www.mcasco.com /qa_ami.html   (951 words)

  
 The Law of Conservation of Momentum
Basic among the natural laws are the so-called conservation laws which, in essence state that in a given physical system under specified conditions, there is a certain measurable quantity which remains changeless, regardless of any actions that may take place within the system.
The principle of the conservation of momentum states that for a dynamical system consisting of a number of material particles at different masses, and with different position vectors, if the only forces acting are the mutual interaction of the particles, then the total momentum of the system would remain constant.
One important aspect of angular momentum is: under certain conditions, it is a conserved quantity.
www.fordhamprep.com /physics/lawcon.htm   (284 words)

  
 Angular momentum
Conservation of linear momentum is a powerful tool in analyzing, for example, collisions between objects undergoing linear motion.
Conservation of angular momentum requires that the skater's moment of inertia times her angular velocity remain constant.
Thus if her moment of inertia decreases, her angular velocity must increase, and this is what we observe: when the skater pulls in her arms, she immediately starts to rotate faster.
theory.uwinnipeg.ca /mod_tech/node51.html   (196 words)

  
 Exploratorium: Science Snacks: Momentum Machine
A rotating object tends to remain rotating with a constant angular momentum unless it is acted upon by an outside twisting force.
Angular momentum is the product of two quantities known as angular velocity and moment of inertia.
The conservation of angular momentum explains why an ice skater starts to spin faster when he suddenly draws his arms inward, or why a diver or gymnast who decreases her moment of inertia by going into the "tuck" position starts to flip or twist at a faster rate.
www.exploratorium.edu /snacks/momentum_machine.html   (552 words)

  
 Conservation of angular momentum   (Site not responding. Last check: 2007-10-13)
Conservation of angular momentum Conservation of linear momentum
The total linear momentum of a system remains constant if the net external force acting on the system is zero.
The total angular momentum of a system remains constant if the net external torque acting on the system is zero.
www.pa.msu.edu /courses/1997fall/PHY231/tgl/l18/tsld005.htm   (48 words)

  
 Angular Momentum
The angular momentum, L of a rigid body with moment of inertia I rotating with angular velocity
This is the rotational analogue of linear momentum.
For systems that consist of many rigid bodies and/or particles, the total angular momentum about any axis is the sum of the individual angular momenta.
theory.uwinnipeg.ca /physics/rot/node7.html   (182 words)

  
 Lecture 29: Conservation of Angular Momentum   (Site not responding. Last check: 2007-10-13)
The law of conservation of angular momentum is one of the most important principles in physics: it ranks alongside the laws of energy conservation and linear momentum conservation, and is independent of them.
If angular momentum were just a scalar, then the behavior of a gyroscope would make no sense: we would expect it to topple over because of its asymmetric support.
The fact that it does not is evidence that the direction of the torque, the direction of the change of the angular momentum, is at right angles to the direction of the force causing the torque.
faculty.uvi.edu /users/dstorm/classes/00phy241/mods/lect_29.html   (749 words)

  
 Kepler's laws: Conservation of angular momentum
Angular momentum is a quantity which plays the same part in rotational mechanics as linear momentum does in linear mechanics.
Because the Sun does not apply a torque to a planet from its gravitational influence, the angular momentum of the planet remains constant; it is conserved.
This relates the angular momentum of a planet to its mass, position, and velocity.
www.alcyone.com /max/physics/kepler/2.html   (282 words)

  
 Lecture 13
Recall that the angular acceleration, speed around the circle, and angular position are all related to the regular translational quantities by multiplying by the radius of the circle:
Conservation of energy is as effective in rotational problems as it is in linear motion.
Then, in the absence of external torque, L is conserved, by just the same arguments that we used in the case of linear momentum.
www.colorado.edu /physics/phys2010/phys2010_sm99/NOTES/Lecture13.html   (1211 words)

  
 Physics 128 Lecture: Angular Momentum
A classic demonstration of the conservation of momentum involves a bicycle wheel, a stool that is free to rotate and a hapless victim.
Linear momentum is not conserved because there is the external force of the post holding the merry-go-round in place.
Because angular momentum is conserved, the reduction in moment of inertia caused by pulling the masses closer to the axis of rotation must be compensated by an increase in angular velocity.
www.cord.edu /dept/physics/p128/lecture99_26.html   (1224 words)

  
 10-7 Conservation of Angular Momentum   (Site not responding. Last check: 2007-10-13)
When the net external torque acting on a system is zero the total angular momentum of the system remains constant.
Angular momentum is shown to be conserved on a single object more readily than linear momentum.
In order for her angular momentum to remain unchanged, her angular velocity increases.
www.indieindex.com /physics/AP/10/Notes/10-7.html   (183 words)

  
 Angular momentum   (Site not responding. Last check: 2007-10-13)
In this experiment, we study torque, moment of inertia, and angular momentum conservation with a rotating platform.
is an expression of the conservation of angular momentum.
When the distance between timings is requested, enter the angular distance (in radians) between the pieces of tape on the plastic ring that pass through the photogate.
solidstate.physics.sunysb.edu /teach/phy131/lab_instructions/angular_momentum.html   (536 words)

  
 PHY 206 Chapter 10 Conservation of Angular Momentum / Dr. Miner
Conservation of Energy includes all types of energy that we have seen (and will see) including but not limited to kinetic, rotational kinetic, elastic, gravitational and work (energy into or out of a system).
Remember, "conservation" here means that the total of all types is constant, or conserved.
In Atomic Physics we find that angular momentum is quantized, that is, the orbital angular momentum of electrons in atoms is always an integer multiple of 1.05 × 10
www.udayton.edu /~physics/gkm/p206ch10.htm   (656 words)

  
 The Society for the Conservation of Angular Momentum   (Site not responding. Last check: 2007-10-13)
The Society for the Conservation of Angular Momentum was founded in 1997 by Christopher Weuve.
The society is dedicated to the preservation of that oft-forgotten conservation law, the Law of the Conservation of Angular Momentum.
While the Conservation of Angular Momentum is not given the attention of other, more famous laws (like the laws of Conservation of Mass and Conservation of Energy), it still has a very important role to play.
www.ncf.ca /~cy856/bio/scam.html   (191 words)

  
 9.6.2 Conservation of angular momentum about the north pole
To be more specific, for unforced motion on a rotating sphere, it is angular momentum about the axis of rotation which is conserved.
In contrast, zonal and meridional momentum are not conserved on the sphere, even in the absence of external forces, since the manifold is not flat.
However, the angular momentum about the north pole can be written such, as now shown.
www.gfdl.noaa.gov /~smg/MOM/web/guide_parent/s2node120.html   (305 words)

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