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Topic: Rotational Inertia


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  Physics & Biomechanics Glossary: Moment of Inertia
The rotational inertia of an object depends on the mass of the object, the shape of the object, and how the mass is distributed throughout the object's shape.
The farther away the mass of an object is from the axis of rotation, the harder it is to swing the object, and the greater the rotational inertia.
The rotational inertia of the skater in the figure increases from left to right as the skater lifts his arms and leg, redistributing more of his mass further from his axis of rotation.
btc.montana.edu /olympics/physbio/glossary/g17.html   (218 words)

  
 Physics Demonstrations on (1Q) - Rotational Dynamics
The period of a bicycle wheel suspended as a pendulum is measured with the wheel spinning and locked.
A horizontal rotating bicycle wheel is braked to a large frame and the combined assembly rotates slower.
Two flywheels free to rotate about a vertical axis on a bar which is also free to rotate about a vertical axis are coupled in various ways to demonstrate "spin-spin" and "spin-orbit" coupling with and without dissipation.
demo1.physics.wisc.edu /UW-Demos_Pira/1Q-RotationalDynamics.html   (5005 words)

  
 Snowmobile Online @Off-Road.com
Rotational inertia is to rotation what mass is to linear acceleration.
Rotational inertia takes into account how far the rotating mass is from the axis of rotation.
The values for the rotational velocity and acceleration were derived from the data from the 1995 Shoot Out at the Old Forge as reported by American Snowmobiler for the Vmax 600 (I know the gear ratios etc for this sled).
www.off-road.com /snowmobile/info/tech/rotational.weight.html   (548 words)

  
 PlanetPhysics: Rotational Inertia of a Solid Cylinder   (Site not responding. Last check: 2007-11-03)
The Rotational Inertia or moment of inertia of a solid cylinder rotating about the central axis or the z axis as shown in the figure is
In order to derive the rotational inertia about the x and y axes, one needs to reference the inertia tensor to make things easy on us.
This is version 8 of Rotational Inertia of a Solid Cylinder, born on 2006-03-28, modified 2006-07-10.
planetphysics.org /encyclopedia/RotationalInertiaOfASolidCylinder.html   (391 words)

  
 Moment of Inertia
Moment of inertia is the name given to rotational inertia, the rotational analog of mass for linear motion.
The moment of inertia must be specified with respect to a chosen axis of rotation.
Since the moment of inertia of an ordinary object involves a continuous distribution of mass at a continually varying distance from any rotation axis, the calculation of moments of inertia generally involves calculus, the discipline of mathematics which can handle such continuous variables.
hyperphysics.phy-astr.gsu.edu /hbase/mi.html   (419 words)

  
 PlanetPhysics: Rotational Inertia of a Solid Sphere   (Site not responding. Last check: 2007-11-03)
The Rotational Inertia or moment of inertia of a solid sphere rotating about a diameter is
It is important to understand this distinction and the more general case about an arbitrary axis is handled by the inertia tensor.
This is version 5 of Rotational Inertia of a Solid Sphere, born on 2006-03-27, modified 2006-07-10.
planetphysics.org /encyclopedia/RotationalInertiaOfASolidSphere.html   (268 words)

  
 An Experiment to Measure Rotational Inertia
Rotational Inertia is one of the more interesting, and sometimes more difficult, topics that introductory Physics students encounter.
The experiment that is done here allows students to both calculate the rotational inertia of a somewhat irregular object, as the positions of the masses are changed, and to verify their calculations experimentally.
The rotational inertia of the spool is not simple to calculate, by the students at this level, as the spool is non-uniform.
www.neiu.edu /~pjdolan/rotational.html   (1108 words)

  
 Rotation
In the last lab, we used the definition of rotational inertia, I, to determine a theoretical equation for the rotational inertia of a disk.
Values of rotational inertia calculated from the dimensions of a rotating object are theoretical because they purport to describe the resistance of an object to rotation.
If the rotational inertia of the axle and the shaft are neglected, what is the rotational inertia, I, of the propeller of radius rp as a function of the torque on the system, t, and the magnitude of the angular acceleration, a?
members.tripod.com /sharing_science/Physics/rotation.html   (1388 words)

  
 Rotational motion   (Site not responding. Last check: 2007-11-03)
Rotational motion is one of the elemental forms of motion (mostly we have been studying one of the other elemental forms of motion, translational motion).
The First Law for rotation accounts for the gyroscope effect (which stabilizes a spinning object like a football or frisbee or rolling objects such as bicycle tires or bowling balls), and the tendency of a spinning skater, diver, or gymnast to keep spinning (the hard part is not to keep spinning, but to stop gracefully!).
For a rotating object, the points on the object far from the axis of rotation are moving faster than the points closer to the axis of rotation, as a result, the more the mass is concentrated farther from the center, the higher the moment of inertia.
carini.physics.indiana.edu /E105/rotation.html   (1291 words)

  
 Rotational energy Summary
For example, a hulahoop has a higher moment of inertia than a plastic disk of the same mass and radius, because all of the hulahoop's mass is all concentrated at its outer radius.
The rotational energy or angular kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy.
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).
www.bookrags.com /Rotational_energy   (732 words)

  
 Rotational Inertia   (Site not responding. Last check: 2007-11-03)
The rate at which a rotating object accelerates is inversely proportional to its rotational inertia.
Rotational inertia depends on the mass but also on its distribution away from the center of rotation.
The resistance to a change in rotational motion is called the rotational inertia.
bravais.bgsu.edu /~boughton/Lecture_6/tsld002.htm   (130 words)

  
 [No title]
It is simpler to write the kinetic energy in terms of the rotational speed (which is the same for all parts of the object, if it is rigid) and the rotational inertia.
The rotational inertia of an object depends not only on its shape but also on the location of the axis of rotation; this is because, for the same rotational speed, the linear speed of different parts of the object will depend on how far from the axis of rotation they are.
Rotational form of Newton's second law The rotational form of Newton's second law tells us what angular acceleration results when a torque is exerted on an object; the net torque is equal to the rotational inertia multiplied by the angular acceleration.
www.physics.emich.edu /dvanwin/PHY221_F03/CH8GRRSum03.doc   (1033 words)

  
 Lesson 7: Rotational Motion, Rotational Dynamics, and Moment Of Inertia
Rotational motion can be described in terms of a set of variables, and relationships among them, that are quite analogous to the variables and relationships that describe linear motion.
In the discussion of rotational inertia the terms "rotational inertia" and "moment of inertia" may be used interchangeably.
Note also that if one or more point masses are attached to any extended body, the rotational inertia of the resulting mass distribution is simply the sum of the rotational inertia of the extended body and that of the point mass(es) with respect to the same axis.
www.physics.csbsju.edu /RPEG/no_paper/handouts/Lesson.07.B.html   (834 words)

  
 Inertia - Wikipedia, the free encyclopedia
Inertia is the property of an object to remain constant in velocity unless acted upon by an outside force.
Inertia is dependent upon the mass and shape of the object.
Thus, "mass is the quantitative or numerical measure of body’s inertia, that is of its resistance to being accelerated".
en.wikipedia.org /wiki/Inertia   (3539 words)

  
 Rotational Inertia   (Site not responding. Last check: 2007-11-03)
To understand rotational inertia, we had better explain inertia in general.
Rotational inertia is a resistance to change of rotation.
The more rotational inertia an object has, the less it responds to being spun.
www.newton.dep.anl.gov /askasci/phy00/phy00124.htm   (180 words)

  
 Moment of inertia - SciForums.com
Then the two concepts are independent: the bigger and heavier the object, the greater its rotational inertia and the more difficult it is to rotate it; the longer the handle, the more leverage you have (more torque for the same force) and the easier it is to move it.
I think your problem with your understanding of the concepts of rotational behavior is that you are failing to distinguish that rotational inertia, torque, and angular acceleration are three different but related concepts.
The "resistance" remains constant: rotational inertia is an intrinsic characteristic.
www.sciforums.com /showthread.php?t=51962   (1409 words)

  
 Newton's First Law = Inertia
8.1 - An object’s inertia causes it to continue moving the way it is moving unless it is acted upon by an (unbalanced) force to change its motion.
Inertia is a property of mass and cannot change.
Rotational Inertia = the property of an object that resists any change in its state of rotation.
www.mansfieldct.org /schools/mms/staff/hand/lawsinertia.htm   (330 words)

  
 General Physics I
Rotational Inertia is that property (related to the distribution of mass) that makes it harder to stop (or otherwise change the rotation of) an object.
Inertia is the tendancy for a moving object to continue its motion, or for a non-moving object to continue in its state of rest.
When using the energy method to solve these problems, be sure to include all of the energies involved: rotational kinetic energy (the energy due to the rotational motion), translational kinetic energy (the energy due to the linear motion), gravitational potential energy (energy of position).
www.gpc.edu /~mdittman/PHYS1111/phys1111c8.htm   (856 words)

  
 Lecture 10/29   (Site not responding. Last check: 2007-11-03)
This reduced the rotational inertia -- it is easier to rotate mass that is close to the axis of rotation than mass that is far away from it.
Since angular momentum is the product of rotational inertia and angular speed, conservation of angular momentum requires the angular speed to go up as the rotational inertia goes down (see also conservation of angular momentum demo).
The smallest rotational inertia is obtained when most of the mass is concentrated near the center, see demo.
galileo.harvard.edu /galileo/course/lectures11b/lect12.html   (1132 words)

  
 Physics 123 Experiment 6 : Rotational Motion
Rotational motion (around a single axis of rotation) is described using a polar coordinate system.
Devise an experimental procedure measure the rotational inertia of the large masses which can be attached to the rotating rail at various distances from the axis of rotation.
Use the measured moments of inertia to study the conservation of angular momentum in an inelastic rotational collision between the disk attachment and the cylindrical tube.
www.iit.edu /~segre/phys123/labs/lab_6_123   (734 words)

  
 [4.0] Rotational Motion
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.
Deedee 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.vectorsite.net /tpecp_04.html   (7426 words)

  
 Moment of inertia - Wikipedia, the free encyclopedia
In addition, the moment of inertia should not be confused with the polar moment of inertia, which is a measure of an object's ability to resist torsion, or "bendiness".
If the moment of inertia has been calculated for rotations about the centroid of a rigid body, we can conveniently recalculate the moment of inertia for all parallel rotation axes as well, without having to resort to the formal definition.
R is the distance of the axis of rotation from the centroid axis of rotation (as described above).
en.wikipedia.org /wiki/Rotational_inertia   (1451 words)

  
 PHYS 101 Lecture 7
The difference is that rotational inertia also depends on the distance that the mass is from the rotational axis (center of rotation).
Torque and rotational inertia both depend on the distance to the axis of rotation.
For torque the distance between the axis of rotation and an applied force is called the lever arm.
hendrix.uoregon.edu /~dlivelyb/phys101/L7.html   (729 words)

  
 Your Ultimate Online Mousetrap Cars and Vehicles Help Guide   (Site not responding. Last check: 2007-11-03)
Rotational inertia is the resistance an object has to changes in rotation.
The greater the distance between the bulk of an object’s mass and its axis of rotation, the greater the rotational inertia.
It follows that the greater the rotational inertia of an object, the harder it is to change the rotational state of that object.
www.mousetrap-vehicles.com /article.cfm?article_id=16   (362 words)

  
 Torque and rotational inertia
We've looked at the rotational equivalents of displacement, velocity, and acceleration; now we'll extend the parallel between straight-line motion and rotational motion by investigating the rotational equivalent of force, which is torque.
We've looked at the rotational equivalents of several straight-line motion variables, so let's extend the parallel a little more by discussing the rotational equivalent of mass, which is something called the moment of inertia.
You can figure out the rotational equivalent of any straight-line motion equation by substituting the corresponding rotational variables for the straight-line motion variables (angular displacement for displacement, angular velocity for velocity, angular acceleration for acceleration, torque for force, and moment of inertia for mass).
physics.bu.edu /~duffy/py105/Torque.html   (1323 words)

  
 Rotational Inertia
These method can be used to find the moment of inertia of things like spheres, hollow spheres, thin spherical shells and other more exotic shapes like cones, buckets, and eggs -- basically, anything that might roll and that has a fairly simple mathematical description.
Since all the mass is located the same distance r away from the axis of rotation, the moment of inertiais the same as that for a point mass located a distance r from the axis, namely …
In the second case, two of the masses are on the axis and contribute nothing to the moment of inertia.
hypertextbook.com /physics/mechanics/rotational-inertia   (996 words)

  
 Rotational Motion
However, rotational inertia also depends on the distribution of the mass along the axis.
This dependency of rotational inertia to distance is why tight rope walkers carry long poles.
That means that the product of rotational inertia and rotational velocity at any one time is the same as the product at any other time.
library.thinkquest.org /C004587/tutorials/mechanics/lesson6.htm   (752 words)

  
 Physics - Inertia
Standard theory attributes inertia to the interaction of an object with the background of all matter in the universe.
Again, rotational inertia seems to be tied to the background of matter comprising the universe.
Inertia can then be simply explained as some form of interaction of an object with the surrounding medium.
www.esotericscience.com /Inertia.aspx   (1738 words)

  
 Rotational Inertia
Rotational Inertia Corla Jean Wilson-Hawkins Bethune Elementary School 8122 South Avalon 3030 West Arthington Chicago, Illinois 60619 Chicago, Illinois 60612 312-933-0527 312-534-6890 Objective: To demonstrate how the resistance of an object to rotation is rotational inertia.
Again reinforce that it is easier to balance when the rotational inertia is farther away from the axis.
See if any of your students can think of other examples of rotational inertia that were not used today that can be added to the lesson.
www.iit.edu /~smile/ph9117.html   (611 words)

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