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Topic: Constant Angular Velocity

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CLV

CAV

Revolutions per minute

	Angular velocity - Wikipedia, the free encyclopedia
		Angular velocity is the vector physical quantity that represents the rotation of a spinning body.
		The magnitude of the angular velocity is the angular speed (or angular frequency) and is denoted by Ï.
		With constant angular acceleration, the angular velocity conforms to the rotational equations of motion, equivalent to the standard linear equations of motion under constant linear acceleration.
	en.wikipedia.org /wiki/Angular_velocity (1002 words)

	Rotational Quantities
		Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity.
		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.
		In the example calculation, the time, initial angular velocity, and displacement were considered given (primary) unless they were being calculated (e.g., in calculating a).
	hyperphysics.phy-astr.gsu.edu /hbase/rotqb.html (394 words)

	Constant Angular Velocity - Wikipedia, the free encyclopedia
		Constant Angular Velocity (CAV) refers to how information is written to or read from a rotating data disk.
		With an LP, the disc always spins at the same angular rate (CAV) of 33â“ rpm, so the surface of the record groove passes the needle at slower linear rate as the needle moves toward the center of the disc.
		Whereas, with a CD, the motor speed decreases from 495 to 212 rpm as the read head moves away from the center to keep the disc moving past the read head at a constant linear velocity ( CLV).
	en.wikipedia.org /wiki/Constant_Angular_Velocity (160 words)

	Physics 106 - How Things Work - Problem Set #2 - Solutions
		Answer: (a) The ball and disk's angular acceleration is constant and (b) its angular velocity is steadily increasing as time passes.
		Why: With a constant torque and a fixed moment of inertia, Newton's second law indicates that the ball and disk should experience a constant angular acceleration.
		Answer: (a) The disk and ball's angular momentum is still constant, but (b) now the disk and ball's angular velocity decreases as time passes.
	rabi.phys.virginia.edu /106/2001/ps2a.html (1532 words)

	angular velocity and
		Angular velocity is the vector (spatial)vector physical quantity '" target="preload" href="http://simplewebs.com/import.aspx?o=physical quantity">physical quantity that represents the rotation of a spinning body.
		In SI units, angular velocity is measured in radianradians per second '" target="preload" href="http://simplewebs.com/import.aspx?o=second">second, (rad/s), although a direction must also be given.
		With constant angular acceleration '" target="preload" href="http://simplewebs.com/import.aspx?o=angular acceleration">angular acceleration, the angular velocity conforms to the rotational equations of motion, equivalent to the standard linear equations of motion under constant linear acceleration '" target="preload" href="http://simplewebs.com/import.aspx?o=acceleration">acceleration.
	simplewebs.com /wiki/?o=angular+velocity (439 words)

	The Thompson Couplings Website - CV Joints History Page (Site not responding. Last check: 2007-11-06)
		However because no suitable constant velocity joint is available the truck and bus manufacturers and heavy industry generally have no other option and to this day this inadequate 400 year old technology is used.
		During the late 1800's and early 1900's several types of constant velocity joints were invented but each and every one of them was entirely impractical because they all had load bearing sliding surfaces which wore quickly and which incurred large losses of power due to the friction of the load bearing sliding surfaces.
		A further type of constant velocity joint is an assembly whereby two Cardan joints are held in strict geometric relationship with one another by using a centering mechanism and a very short intermediate shaft.
	www.cvcoupling.com /hisory_cvj.html (1737 words)

	Information on Constant Angular Velocity
		(CAV) A disk driving scheme in which the angular velocity of the disk is kept constant.
		This means that the linear velocity of the disk be larger when the reading or writing the outer tracks.
		However, as mechanical stability puts an upper limit on the angular velocity (and not the linear velocity) this allows the full potential of the drive is used.
	www.wkonline.com /d/Constant_Angular_Velocity.html (112 words)

	[6.1] CAV, ZCAV and CLV (Site not responding. Last check: 2007-11-06)
		In this case, the disk spins at a constant rate, and there are the same number of sectors per track on inner and outer tracks.
		The transfer rate is constant, as the number of bits/track is same and the time/track doesn't vary.
		The transfer rate is constant, as the size and spacing of bits is constant and the linear velocity is constant.
	www.faqs.org /faqs/arch-storage/part1/section-42.html (297 words)

	Giancoli, Physics : Principles with Applications, 5/E Chapter 8 -- Practice Questions
		A wheel of radius 1 m is spinning with a constant angular velocity of 2 rad/s.
		A wheel of radius.5 m is spinning with a constant angular velocity of 2 rad/s.
		They have the same speed, but their angular velocity is different.
	cwx.prenhall.com /bookbind/pubbooks/giancoli/chapter8/multiple1/deluxe-content.html (837 words)

	Untitled Document (Site not responding. Last check: 2007-11-06)
		Since only the angular position changes with time its behavior is exactly analogous to the behavior of the position in one-dimensional motion that was studied previously.
		The relationships between the angular position, velocity, and acceleration are exactly the same as the relationships previously determined for one-dimensional motion.
		The first is to use the results of a penny slipping off of the turntable at a particular radius to determine the coefficient of static friction between the surface of the turntable and a penny.
	jpsi.ma.psu.edu /~mad10/lab8/lab8.html (2030 words)

	Physics 128 Lecture: Rotational Kinematics (Site not responding. Last check: 2007-11-06)
		The direction of the angular velocity indicates both the direction of rotation, (clockwise or counterclockwise), and the axis about which the object is rotating.
		The "length" of the vector is given by the magnitude of the angular velocity.
		The angular acceleration vector is determined in relation to the angular velocity vector.
	www.cord.edu /dept/physics/p128/lecture_21.html (778 words)

	Chapter8
		A wheel initially has an angular velocity of –36 rad/s but after 6.0 s its angular velocity is –24 rad/s.
		the angular velocity is increased by a factor of 4 and the angular acceleration is not changed
		the angular velocity is increased by a factor of 2 and the angular acceleration is increased by a factor of 4
	www.physics.udel.edu /~jim/reviews/chap8.htm (429 words)

	eMedicine - Rotary Chair Testing : Article by Manali S Amin, MD (Site not responding. Last check: 2007-11-06)
		The constant acceleration test is one in which the patient's rotational velocity is increased at a constant acceleration to a set angular velocity, which is then maintained for a period of time, after which the chair is slowly decelerated to a velocity of 0 degrees per second.
		At a constant velocity with no acceleration, the patient incorrectly perceives that the chair is slowing down, and the velocity of the slow component of the nystagmus decays over time.
		The velocity of the slow component of the nystagmus observed during each cycle of rotation is averaged with subsequent cycles of rotations, and an average response is reported for each frequency.
	www.emedicine.com /ent/topic480.htm (3100 words)

	PoleKatz (Site not responding. Last check: 2007-11-06)
		They can be two dimensionally modeled as a point mass (the pole dancer) traveling at a velocity (the force acquired by the pole dancer before leaving the floor) until it gets to the point where it rotates about a fixed axis (the pole), at which point it rotates at a constant angular velocity.
		Since mass is constant and we are assuming a constant velocity, the momentum remains constant.
		With a constant velocity, by decreasing the radius the angular velocity therefore increases.
	www.planetpolekatz.com /physics.htm (1284 words)

	Bending and shear stresses developed by the instantaneous arrest of the root of a cantilever beam rotating with ... (Site not responding. Last check: 2007-11-06)
		A theoretical investigation was made of the behavior of a cantilever beam in rotational motion about a transverse axis through the root determining the stresses, the deflections, and the accelerations that occur in the beam as a result of the arrest of motion.
		The equations for bending and shear stress reveal that, at a given percentage of the distance from root to tip and at a given trip velocity, the bending stresses for a particular mode are independent of the length of the beam and the shear stresses vary inversely with the length.
		When examined with respect to a given angular velocity instead of a given tip velocity, the equations reveal that the bending stress is proportional to the length of the beam whereas the shear stress is independent of the length.
	naca.larc.nasa.gov /reports/1945/naca-wr-l-27 (227 words)

	Patent 5182741: Optical disk recording/reproducing device utilizing a constant angular velocity method with a constant ...
		However, in the CLV control, it is necessary to vary the rotation velocity of a motor depending on positions on the disk in the radius direction, and therefore the rotation control of the motor becomes complicated.
		Moreover, since the rotation velocity of the motor must be changed when the optical head is shifted in a radius direction to access a desired track of the disk, required access time tends to become longer.
		However, in the CAV method, since a frequency of clock for recording or reproducing is kept constant regardless of positions on the disk, recording density lowers as the relevant position gets closer to the circumferential section, thereby arising the problem that enough recording capacity is not obtained.
	www.freepatentsonline.com /5182741.html (8069 words)

	Janusz Laski, Planetary systems and the Bohr atom model (Site not responding. Last check: 2007-11-06)
		In a particular case when the angular velocity and the orbit radius are a constant, the equation (4) means a circular orbit.
		However in the case of an electron revolving around the nucleus with constant angular velocity, the second time derivative of the unit vector "e" is zero (unit vector's direction changes linearly with time).
		As a matter of fact, only then, when the angular velocity (and the orbit) of a revolving electron does change (electron jumping on lower orbit) there is a corresponding radiation of electron energy (photon emission).
	www.januszlaski.com /lecture.1.html (1504 words)

	Effects of Tilt of the Gravito-Inertial Acceleration Vector on the Angular Vestibuloocular Reflex During Centrifugation ...
		constants of the horizontal aVOR and not by a superposed
		The purpose of this study was to investigate the interaction of the horizontal aVOR and lVOR during constant velocity centrifugation.
		At a final angular velocity of 400°/s, the GIA was tilted by 52° in the animal's roll plane.
	jn.physiology.org /cgi/content/full/81/5/2175 (9093 words)

	The Universe of Aristotle and Ptolemy
		The Prime Mover caused the outermost sphere to rotate at constant angular velocity, and this motion was imparted from sphere to sphere, thus causing the whole thing to rotate.
		However, the troubling observations of varying planetary brightness and retrograde motion could not be accommodated: the spheres moved with constant angular velocity, and the objects attached to them were always the same distance from the earth because they moved on spheres with the earth at the center.
		Then, the centers of the epicycles executed uniform circular motion as they went around the deferent at uniform angular velocity, and at the same time the epicyles (to which the planets were attached) executed their own uniform circular motion.
	csep10.phys.utk.edu /astr161/lect/retrograde/aristotle.html (757 words)

	The Hubble Constant as the Angular Velocity of Light in the Closed Universe
		In the mainstream cosmology the Hubble constant characterizes the rate of the Universe expansion, and the Hubble "constant" is changing there with the age of Universe.
		The picture, showing why in the discrete space-time velocity between N and S must be equal to c/2, is on the page Gravity.
		The Hubble Constant from SZE Measurements in Low-Redshift Clusters
	www.geocities.com /igorelik/dates.html (908 words)

	Angular Velocity and Acceleration
		of a rigid body is the rate of change of its angular position.
		The units of angular velocity are most conveniently given in rads/sec, but can also be expressed in revolutions/sec or degrees/sec using the conversions given above.
		Angular Acceleration is the rate of change of angular velocity with time.
	theoryx5.uwinnipeg.ca /physics/circ/node3.html (112 words)

	Patent 5543978: Adaptive equalizer of disk reproducing apparatus using a constant angular velocity method
		The present invention relates to a disk reproducing apparatus using a constant angular velocity, and more particularly, to an adaptive equalizer for controlling a tap coefficient of a filter by assuming a recording density of each track.
		Recently, according to the high density recording of magnetic recording media, e.g., hard disks and floppy disks, and optical recording media such as magneto-optic disks, compactsdisks and laser disks, there is an increasing problem of errors in the reproduced data, which is caused by increased interference between adjacent signals.
		That is, in the case of disk recording media using the constant angular velocity method, since the inner diameter of the disk is smaller than the outer, the relative recording density is increased for the inner diameter tracks.
	www.freepatentsonline.com /5543978.html (1617 words)

	Centripetal Accelration and Angular Momentum Demo
		At constant angular velocity, the setup is unstable in the absence of friction, and the friction of a string going over the edge of a glass tube is not highly reproducible, so this is a generally qualitative demonstration.
		If you rotate the mass at the highest angular velocity which you are capable of, the system will be unstable in the absence of friction.
		Because the angular momentum [which is equal to mrr(omega) or mvr, since v=r(omega)]is approximately constant, the tension in the string (centripetal force=(mvv)/r) also rises.
	www.cwru.edu /artsci/phys/courses/demos/centrip.htm (566 words)

	Control of Spatial Orientation of the Angular Vestibuloocular Reflex by the Nodulus and Uvula -- Wearne et al. 79 (5): ...
		Spatial orientation of the angular vestibuloocular reflex (aVOR)
		The angular vestibuloocular reflex (aVOR) exhibits the property of spatial orientation.
		velocity tends to align with gravity or with the gravito-inertial
	jn.physiology.org /cgi/content/full/79/5/2690 (7824 words)

	AudioVideo101.com - Audio/Video Dictionary
		Laserdisc format in which the disc spins at a constant, unchanging number of revolutions per second resulting in less information being held compared to a CLV disc (30 minutes per side versus 60 minutes per side) but allowing the use of special features such as stop motion and slow motion.
		In a similar fashion, with the disc turning at a constant speed, the outer data track loses space for data; the data tracks are not optimized.
		CAV discs thus offer a compromise, less data handling versus more flexibility with the data.
	www.audiovideo101.com /dictionary/cav.asp (334 words)

	Circular Motion
		A 4.0 kg mass is moving in a circular path with a constant angular velocity of 5.0 rad/sec and with a tangential velocity of 5.0 m/sec.
		A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec^2 acquires an angular velocity of 5.0 rad/sec.
		The mass starts from rest and with constant acceleration obtains an angular velocity of 6.0 rad/sec in 3.0 sec.
	www.unc.edu /~rowan/phys24/p4f3ch05.html (381 words)

	Spindle Motor, Constant Linear Velocity (CLV) and Constant Angular Velocity (CAV)
		This is called constant angular velocity ( CAV) because it takes the same amount of time for a turn of the 360 degrees of the disk at all times.
		The change back to CAV as the drives get faster and faster is being done due to the tremendous difficulty in changing the speed of the motor when it is going so fast.
		This is a compromise design that uses CAV when reading the outside of the disk, but then speeds up the spin rate of the disk while reading the inside of the disk.
	www.pcguide.com /ref/cd/constSpindle-c.html (985 words)

	Angular velocity - Enpsychlopedia (Site not responding. Last check: 2007-11-06)
		The function $\sigma is called the$ angular velocity of the rotation.
		Conversely [1], given a fixed skew-adjoint linear transformation $S of V, there is a rotation having S as its$ constant angular velocity.
		Therefore [2] the set $\mathsf{so}(V) of possible values of the$ angular velocity is the ${n(n-1)\over2} -dimensional space of skew-adjoint linear transformations of V .$
	www.grohol.com /psypsych/Angular_velocity (1121 words)

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