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Topic: Rotational motion

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	Rotational motion (Site not responding. Last check: 2007-11-04)
		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)

	College Physics for Students of Biology and Chemistry - Rotational Motion
		We choose this example because the motion of the ball around the joint at the shoulder is very nearly circular, at least until the ball is released.
		In fact, the equations of rotational motion are all isomorphic to their linear counterparts.
		You have also constructed an equation for rotational kinetic energy; in general, a complex object may rotate as it translates (moves linearly), and so its total kinetic energy is the sum of its rotational and translational kinetic energies.
	www.rwc.uc.edu /koehler/biophys.2ed/rotation.html (1490 words)

	Lesson 7: Rotational Motion, Rotational Dynamics, and Moment Of Inertia
		Rotational Motion--There is a motion of a system of masses that is as simple as the motion of a point mass on a straight line.
		Define angular displacement, velocity, and acceleration for the case of rotation of a rigid body about a fixed axis; for the case of constant angular acceleration, use the relations among these quantities to solve problems in rotational motion.
		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.
	www.physics.csbsju.edu /RPEG/no_paper/handouts/Lesson.07.B.html (834 words)

	Rotational illusion
		The two concentric arrays of "candies" appear to rotate in the different directions when we approach or move away from the figure while fixating at the center.
		The ring appears to rotate in the direction different from that of the background when we approach or move away from the figure while fixating at the center.
		The two rings of "chromosomes" appear to rotate in the different directions when we approach or move away from the figure while fixating at the center.
	www.ritsumei.ac.jp /~akitaoka/rotate-e.html (436 words)

	Untitled Document (Site not responding. Last check: 2007-11-04)
		The rotational inertia of an object is the resistance of that body to a change in its angular velocity much as the mass of an object is a measure of its resistance to a change in its linear motion.
		Rotational inertia involves the mass of the object as well, but it also involves how that mass is distributed about the axis of rotation.
		Thus the rotational inertia of the rotating object is merely twice the slope of the linear mechanical energy of the falling mass divided by the square of the rotational velocity.
	jpsi.ma.psu.edu /~mad10/lab9/lab9.html (1332 words)

	Molecular mobility in the cytoplasm: an approach to describe and predict lifespan of dry germplasm. (Site not responding. Last check: 2007-11-04)
		We investigated the relationship between aging rates of germplasm and the rotational motion of a polar spin probe in the cytoplasm under different storage conditions using saturation transfer electron paramagnetic resonance spectroscopy.
		Rotational motion of the spin probe in the cytoplasm of seed and pollen of various plant species changed as a function of moisture content and temperature in a manner similar to aging rates or longevity.
		A linear relationship was established between the logarithms of rotational motion and aging rates or longevity.
	www.arclab.org /medlineupdates/abstract_10681458.html (250 words)

	Moment of inertia (Site not responding. Last check: 2007-11-04)
		Moment of inertia is to rotational motion as mass is to linear motion.
		Rotational versions of Newton's second law and the formulas for momentum and kinetic energy, use the moment of inertia of an object (with torque, angular velocity and angular acceleration replacing force, velocity and acceleration, respectively).
		However, in the general case of an object being rotated about an arbitrary axis, the moment of inertia becomes a tensor, such that the angular momentum need not be parallel to the angular velocity.
	www.omniknow.com /common/wiki.php?in=en&term=Rotational_inertia (924 words)

	Exploratorium: Science Snacks: Balancing Stick
		The farther away the mass is located from the axis of rotation (such as in your hand), the greater the rotational inertia and the slower the stick turns.
		Just as it is hard to change the motion of an object that has a large inertia, it is hard to change the rotational motion of an object with a large rotational inertia.
		The rotational inertia depends on the distribution of the mass of the stick.
	www.exploratorium.edu /snacks/balancing_stick.html (397 words)

	Torque & Rotation
		What you will see here is that for rotational motion, much of what we've already done still applies: velocity, acceleration, force, energy, momentum, etc. But, we just have to be careful to apply these concepts in a different manner.
		The farther the mass is distributed from a point of rotation, the more difficult it is for the rotational motion to change.
		In this case, the rotational inertia decreased (the masses were closer to the center of rotation), so the rotational velocity had to increase.
	physics.weber.edu /johnston/introphsx/notes_introphys_rotation.htm (1586 words)

	9 Rotational Motion
		The object of interest is mounted on a rotational motion detector so that it rotates about the axis of interest.
		Mount the rod and masses on the rotational motion detector.
		Mount the aluminum disk on the rotational motion detector.
	webpages.ursinus.edu /lriley/courses/p111/labs/node9.html (752 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.
	hendrix2.uoregon.edu /~dlivelyb/phys101/L7.html (729 words)

	[3.0] 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_03.html (6965 words)

	[No title]
		Prescribes translational or rotational motion on a translational, revolute, or cylindrical joint.
		Joint motions are very easy to create, but they limit you to motions that are applied to the above listed joints and movements in only one direction or rotation.
		Rotational Motion can be applied to cylindrical and revolute/rotational (hinge) joints.
	www.me.cmu.edu /undergrad/adams/imposing_forces_and_motions.htm (587 words)

	USC-SIPI REPORT #117 (Site not responding. Last check: 2007-11-04)
		The object is assumed to be rigid, and its motion is assumed to be "smooth." A set of object match points is assumed to be available, consisting of fixed features on the object, the image plane coordinates of which have been extracted from successive images in the sequence.
		Rotational motion occurs about the origin of an object-centered coordinate system, while translational motion is that of the origin of this coordinate system.
		Quaternions are used to propagate the rotational motion via closed-form expressions for constant angular velocity and constant precession rate, and a well-behaved ordinary differential equation for higher order motion.
	sipi.usc.edu /reports/abstracts/usc-sipi.117.html (488 words)

	Rotational Quantities
		Rotation is described in terms of angular displacement, time, angular velocity, and angular acceleration.
		In the example rotation calculation, some assumptions are made about the calculation order.
		The rotation equations represent a complete set of equations for constant angular acceleration rotations, but in certain types of problems, intermediate results must be calculated before proceeding to the final calculation.
	hyperphysics.phy-astr.gsu.edu /hbase/rotq.html (491 words)

	The Physics Classroom
		Uniform circular motion can be described as the motion of an object in a circle at a constant speed.
		Once the tennis ball and the board are in motion, they will continue in motion in the same direction at the same speed unless acted upon by an unbalanced force.
		This straight line motion continues until the presence of a side door or another passenger pushes upon the passenger in order to accelerate him/her towards the center of the turn.
	www.physicsclassroom.com /mmedia/circmot/cf.html (550 words)

	Rotational kinematics
		In uniform circular motion (motion in a circle at a constant speed), there is always a net acceleration (the centripetal acceleration) towards the center of the circular path.
		In non-uniform circular motion the speed is not constant, and there are two accelerations, the centripetal acceleration towards the center of the circle, and the tangential acceleration.
		For uniform circular motion, the centripetal acceleration points towards the center of the circle, and the velocity points in the direction the object is traveling.
	physics.bu.edu /~duffy/py105/notes/Rotationalkin.html (1211 words)

	Rotational Motion
		Rotational motion is an analog to linear motion: in linear motion we had displacement, velocity, acceleration, etc. and in rotational motion we also have displacement, velocity, and acceleration BUT they’re called angular displacement, angular velocity, and angular acceleration.
		We notice that if this disk rotates, like a CD or a floppy disk does, points 1a and 2a must turn together to become points 1b and 2b, respectively.
		The form of the rotational equations is exactly the same as the linear ones we studied earlier...and the handling is just the same.
	www2.ignatius.edu /faculty/decarlo/rotation.htm (483 words)

	Rotational Motion II FAQs (Site not responding. Last check: 2007-11-04)
		Combined with this whole-body motion is the motion of each point due to rotation about the center of mass.
		In addition, each part of the object is undergoing rotational motion about an axis of rotation through the center of mass.
		Note that even though the axis of rotation is moving, because it is through the center of mass the kinetic energy of rotation is the same as that about a fixed axis.
	acad.udallas.edu /physics/GP1/rotational_motion_ii_faqs.htm (1808 words)

	Combined translational and rotational motion
		4.7, we analyzed the motion of a block sliding down a frictionless incline.
		The reason for this is that, in the former case, some of the potential energy released as the cylinder falls is converted into rotational kinetic energy, whereas, in the latter case, all of the released potential energy is converted into translational kinetic energy.
		This motion is equivalent to that of a point particle, whose mass equals that of the body, which is subject to the same external forces as those that act on the body.
	farside.ph.utexas.edu /teaching/301/lectures/node108.html (1387 words)

	Dartmouth Physics and Astronomy - Teaching Labs
		The central intent of this lab is to provide students with the opportunity to predict the behavior of rotating systems using their knowledge of rotational dynamics and then to check to see if the predictions are correct.
		At the general station there are a rotating stool, some small barbell weights and a weighted bicycle wheel with handles.
		They are asked to note how much effort is needed to rotate the merry-go-round when the position of the push along the metal bar is varied from in near the axis of rotation to the far end of the poll.
	www.dartmouth.edu /~physics/labs/descriptions/rotational.motion.html (615 words)

	Physics - Notes and Definitions
		In an inertial frame of reference, it is fictitious in the sense that it doesn't act on the rotating object but on whatever supplied the centripetal force; it is the reaction to the centripetal force.
		In a rotating frame of reference, it does act on the rotating body and is fictitious in the sense that it is not an interaction with an agent or entity such as mass or charge but is a force in itself that is solely a product of rotation; it has no reaction-force counterpart.
		Sine Curve: A wave form traced by simple harmonic motion that is uniformly moving in a perpendicular direction, like the wavelike path traced on a moving conveyor belt by a pendulum swinging at right angles about the moving belt.
	mark.foster.cc /school/phys100.html (3704 words)

	Rotational motion detected in gates controlling nerve impulses
		"These motions are not consistent with a simple translational movement, like that of a plunger moving up and down within the membrane," Bezanilla said.
		In both the open and closed states of the channel, there are charges that sit on the amino acids, Selvin said.
		"The rotational motion changes the chemical accessibility of the charges from the inside of the cell to the outside of the cell.
	www.eurekalert.org /pub_releases/2000-02/UoIa-Rmdi-0102100.php (482 words)

	Dynamics of Rotational Motion
		Use the set of wheels and stand to demonstrate the effects of radius on a rotating object.
		Use the tops to demonstrate rotational motion and the stability of spinning objects.
		As the wheel is set in motion the bear remains motionless with respect to the wheel, as its center of mass is located beneath the pivot.
	public.juniata.edu /physicsdemos/dynamics_rotational_motion.htm (608 words)

	rotational motion
		This is similar to ordinary inertia (mass) which is the amount of resistance to changing linear motion (accelerating).
		The bigger moment of inertia, the harder it is to increase or decrease that body's rotational speed, just like a larger mass means that it is harder to change linear acceleration.
		Every equation in rotational kinematics has a linear analog which you already know, and it is easy to go from one to the other.
	www2.hawaii.edu /~jmcfatri/labs/rotmotion.html (776 words)

	Lagrangian Mechanics Made Simple, Part 2
		The equation of motion (5) is simple enough, since we're working in a fixed rectangular coordinate system.
		It doesn't matter how long the drum has been rotating, the equations of motion will be the same.
		This is a feature of the coordinate system we have chosen, and would not be true for, say, rotation around an ellipse, where the equations of motion would depend on what part of the ellipse you were on.
	www.worldforge.org /project/newsletters/June2002/LagrangianP2 (590 words)

	[No title] (Site not responding. Last check: 2007-11-04)
		Translational Motion- subdivided into motions along the x-, y-, and z-axes with each of these individual motions contributing ½RT to the average molar translational energy of a substance.
		Rotational Motion - subdivided into rotations around the x-, y-, and z-axes with each such rotation contributing ½RT to the average molar rotational energy.
		A linear molecular has two such qualified rotations (rotation around the molecular axis does not qualify as the atoms are located directly on the rotation axis) and its average molar energy stored in rotational motion is
	www.towson.edu /users/debye/chem111/experiments/111_exp_s02_molec_vibes.html (1047 words)

	Mechanical engineering other topics - How to translate from vertical motion to rotational
		Cut a closed J Slot into the stem of the valve, and have a pair of lugs "cam" rotational motion as the stem rises or falls.
		Alternatively, you should be able to simplify rotational motion by cutting a helix into the stem and have rotational motion as a consequence to a pair of lugs riding in the slot.
		The rotation output axis is coincident with the line of action of the linear input.
	www.eng-tips.com /viewthread.cfm?qid=57872 (683 words)

	Rotational Motion (Site not responding. Last check: 2007-11-04)
		Changes in direction of rotation are stochastic events that can be defined by a point process.
		The correlation among point processes of windmills within a virtual region (vertically elongated in this demonstration) can be varied; in this example all windmills within the virtual region obey the same point process and those outside this area ("background") each follow their own point process.
		In this next demonstration, the correlation of changes in direction of rotation is 1.00 in the figure and 1.00 in the background, with the correlation between figure and background elements being 0.00.
	www.psy.vanderbilt.edu /faculty/blake/TS/Rotate.html (132 words)

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