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Topic: Angular speed

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Angular acceleration

Angular velocity

Angular momentum

Specific angular momentum

Radian

Equation of motion

Velocity

Displacement (distance)

Torque

Geosynchronous orbit derivation

Circular orbit

Precession

Standard assumptions in astrodynamics

Horsepower

Orbital equation

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	Angular velocity - Wikipedia, the free encyclopedia
		In physics angular velocity is the speed at which something rotates (its angular speed or angular frequency) together with the direction it rotates in.
		The magnitude is the angular speed, and the direction describes the axis of rotation.
		In the case of pure circular motion, the angular velocity is equal to linear velocity divided by the radius.
	en.wikipedia.org /wiki/Angular_velocity (633 words)

	A (Site not responding. Last check: 2007-10-08)
		Angular speed is defined in terms of radians.
		Thus, angular speed is independent of gear size as long as two different gears complete a single revolution in equal periods of time.
		In terms of linear speed, both gears (gear teeth) are moving at equal linear speeds (because it would be impossible for the driven gear to move any faster or slower than the driving gear).
	www.ecsel.psu.edu /~rxs341/spurz.htm (391 words)

	Angular Speed
		A flywheel with a diameter of 1.2 m is rotating at an angular speed of 200 revs/min
		ok..and is angular speed measure in revs/sec or rad/sec
		Angular speed is usually given in rads/sec, but, depending upon the application, it can also be measured in rpm or cps, for example.
	www.physicsforums.com /showthread.php?t=102113 (415 words)

	Angular_Diameter
		The angular size (or angular diameter) of an object is simply the angle between one side of the object and the other.
		To determine the angular size of an object, we will take advantage of the fact that two round or spherical objects can have the same angular diameter, even if they are at very different distances from the observer.
		Using the angular diameter you calculated in step 6, and the known distance to the Moon, calculate the liner diameter of the Moon as you did in Part II of this lab.
	lpc1.clpccd.cc.ca.us /lpc/bazan/astro30/Angular_Diameter.htm (1591 words)

	Electric power steering apparatus - Patent 6129172
		Further, a vehicle speed signal from a vehicle speed sensor 7 is supplied to the assist control unit 12, an angular velocity difference control unit 4, a restoration control unit 22, a steering angle middle point calculation unit 20, a duty determination unit 25 and a restoration current calculation unit 26.
		In place of the rotational speed of the motor M, for example, the relative steering angle may be detected in a manner of detecting a rotational speed of a steering shaft 10 connected to the steering wheel 1 with the use of a rotary encoder.
		The steering angular velocity detection unit 24 detects a steering angular velocity which is a rotational speed of the steering wheel 1 on the basis of the given relative steering angle, and supplies it to the duty determination unit 25 as a steering angular velocity signal.
	www.freepatentsonline.com /6129172.html (5185 words)

	An Exploration of Meteor Angular Speeds
		Figures 1 to 5 show the meteor angular speed, V_theta, plotted on the y-axis as a function of meteor-radiant angular distance, theta, on the x-axis, for four constant meteor angular altitudes (each shown as a separate curve): alt=0 deg (dash-dot), alt=30 deg (dash), alt=60 deg (dot), and alt=90 deg (solid).
		A rough estimate of the average meteor angular speed is then obtained by dividing the distance by the duration later during initial data reduction on paper.
		The meteor angular speed estimate is primarily used for meteor shower classification verification, using the relationships shown in Equations 1 & 2 and Figures 1-5.
	www.amsmeteors.org /richardson/angspeed.html (1773 words)

	Rotational Dynamics
		To increase the angular speed you probably will apply a force to the rim, tangential to the rim, and in the direction of the instantaneous velocity of the section of the rim to which you apply the force.
		The angular acceleration of an object is proportional to the torque acting on the object.
		If a torque causes angular acceleration about one of the symmetry axes of an object, then the proportional constant is the moment of inertia of the object about the axes.
	electron9.phys.utk.edu /phys135d/modules/m8/rot_dynamics.htm (1481 words)

	Problem Set - Angular Motion - Physics 107
		Find (a) the angular acceleration and (b) the angular speed of the cylinder 2.0 s after the force is applied to the cylinder initially at rest.
		Find (a) the magnitude and direction of its angular momentum relative to the center of the circle when its velocity is v and (b) an alternative expression for L in terms of the angular velocity ω;.
		Find the angular momentum of the particle about the origin when the particle is (a) at the origin, (b) at its highest point, and (c) just before it hits the ground.
	www.wellesley.edu /Physics/phyllisflemingphysics/n107_p_angular.html (2027 words)

	Choosing Motors for RoboCup
		The maximum linear speed is determined by three parts of the drive system: the wheel size, the motor's angular speed for a given torque, and any gearing that may be present between the motor and the wheel.
		The average linear speed (v) of the translation is simply this distance divided by the time taken to travel it.
		If there are gears between the motor and the wheel, the angular speed of the wheel differs from that of the motor by a constant multiplier called the gear ratio which is the ratio of the number of teeth on the drive gear to the number of teeth on the driven gear.
	academics.vmi.edu /ee_dl/Research/motors.htm (1185 words)

	Angular Speed of a Phonograph Record
		If the speed of the disc was slower, such as 40 rpm, then the record would have played longer but the sound would have been very bad.
		The records with the speed of 33.3 rpm were introduced in 1948 and their standard size was twelve inches in diameter.
		The records with the speed of 33.3 rpm were mainly used for classical music and long performances because of their long playing time.
	hypertextbook.com /facts/2000/AlexandraGrosman.shtml (1023 words)

	[No title]
		The average angular velocity of a rotating object is defined to be the angular distance divided by the time taken to turn through this angle.
		Angular Motion Equations with Constant Angular Acceleration If the angular acceleration is uniform, we have that the average acceleration is the same as the instantaneous angular acceleration.
		Calculate the centripetal force on a 70 kg runner with a speed of 6.7 m/sec (this is a 4 minutes mile) on a track of radius 15 m.
	www.phy.cmich.edu /people/andy/physics110/book/word/Chapter6.doc (1468 words)

	Angular frequency - Wikipedia, the free encyclopedia
		In physics (specifically mechanics and electrical engineering), angular frequency ω (also referred to by the terms angular speed, radial frequency, and radian frequency) is a scalar measure of rotation rate.
		Angular frequency is the magnitude of the vector quantity angular velocity.
		Angular frequency inside an LC circuit can also be defined as the inverse of the square root of the capacitance (measured in farads), times the inductance of the circuit (in henrys).
	en.wikipedia.org /wiki/Angular_speed (255 words)

	Lecture 11/10 (Site not responding. Last check: 2007-10-08)
		The angular momentum is the sum of the angular momenta for the individual particles about point B. Each has magnitude equal to its own momentum, mv, times the perpendicular component of the r-vector going from point B to the particle.
		The angular momentum of the nearer particle is clockwise (i.e., negative), and the angular momentum of the farther particle is counterclockwise (i.e., positive).
		In this case angular momentum would be conserved when the ball is pulled in to a tighter orbit, the force would do work when the direction of motion of the ball has a radial component, and the kinetic energy would increase.
	galileo.harvard.edu /galileo/course/lectures/lect14.html (1158 words)

	Angular momentum
		The angular momentum of a rigid object rotating about one of its symmetry axes is the sum of the angular momenta of all its parts.
		The direction of the angular momentum of a rigid object rotating about one of its symmetry axes is the direction of the angular velocity (given by the right hand rule).
		L in the angular momentum of an object is equal to the
	electron9.phys.utk.edu /phys135d/modules/m8/angular.htm (1694 words)

	[No title]
		The angular speed w of the mass is the number of radians through which the mass passes in one second.
		The unit of angular speed is radians per second (rad/s).
		All points on the wheel have the same angular speed, but the linear speed v of a point depends on its distance r from the axis of rotation.
	www.dac.neu.edu /physics/a.cromer/Physics1192/Kinematics.html (1533 words)

	Physics Book - Glossary
		Angular frequency is mathematically identical to the angular speed of the associated circular motion.
		The magnitude of the angular velocity is the angular speed.
		This effect is only significant at speeds near that of light and is due to the requirement that the speed of light be measured the same in every inertial reference frame, which is a frame of reference that is not accelerating according to Einstein's special theory of relativity.
	prism.tc.cc.tx.us /physicsbook/glossary.html (20971 words)

	DTEACh - Math Workshop
		Average Angular Speed is the number of revolutions per unit of time.
		The Linear Speed for a point on a rotating object is the Angular Speed, of the object, times the radius.
		Write an equation for the linear speed of the tip of the yellow 2x8 plate, in units of Lego-studs per second and meters per second.
	www.engr.utexas.edu /dteach/Experience/mathworkshops/mw_calculus.htm (4067 words)

	No Title
		It is important to remember that all the constituent particles of a rigid body rotating around a fixed axis move by the same angle, angular speed, and angular acceleration, while their speed and radial and tangential accelerations depend on their distance r from the axis.
		Maximum angular acceleration can be achieved by applying the force as far away from the rotation axis as possible.
		Angular momentum is especially useful when dealing with rotational motion because, similarly to linear momentum, it is conserved when the net external torque is zero.
	www.vanderbilt.edu /AnS/physics/perakis/L10_00/L10_00.html (1584 words)

	Per-Normal or Normalized Units in Control Systems
		a gain of 60 in a speed loop is large, always in the same sense, despite the sizes of the motor or the load.
		The motor speed in [RPM] with maximum operating voltage, rated field strength and rated load with the windings at the constant temperature attained when operated at its ratings.
		Motor Angular Speed is the motor shaft angular velocity in radians per second [rad/sec].
	www.apicsllc.com /apics/Misc/PN.html (1487 words)

	degree per second squared - a definition from Whatis.com
		The angular acceleration vector also has a direction component that can be defined in either of two senses: counterclockwise or clockwise.
		Instantaneous angular acceleration magnitude is more difficult to intuit, because it involves an expression of rotational motion over an "infinitely short" interval of time.
		In the complete sense, angular acceleration is a vector quantity having direction as well as magnitude, and representing the rate of change of angular velocity.
	whatis.techtarget.com /definition/0,,sid9_gci777936,00.html (440 words)

	Angular velocity (Site not responding. Last check: 2007-10-08)
		Angular velocity is the angle travelled per unit time.
		Remember that (ignoring skidding) the tire maintains traction with the road at all time, so the distance you travel, and the speed you travel is the same as the speed of the tire.
		Divide the linear velocity by the circumference to get the angular velocity (in rotations per unit time, which you can then convert to whatever other unit you are interested in).
	mathcentral.uregina.ca /QQ/database/QQ.02.06/ben2.html (670 words)

	No Title
		Thus the angular speed of the merry-go-round is
		That means the angular velocity must increase while its moment of inertia decreases to maintain the same angular momentum.
		When my arms were extended horizontally, the two weights were at a distance of 0.7m from the axis of rotation and I was rotating with an angular speed of 2.5 rad/s.
	www.vanderbilt.edu /AnS/physics/perakis/Exam3_00 (1535 words)

	notes1
		The angular distance through which a rotating body moves is the angle between its initial and final position measured following the path followed by the body.
		The angular displacement through which a rotating body moves is equal to the smaller of the two angles between its initial and final position (difference in initial and final position).
		This is the rate of change in the direction of a body in angular motion.
	www.umsl.edu /~physed/notes1.html (741 words)

	Chapter 10 Rotation (Site not responding. Last check: 2007-10-08)
		(omega) is the ratio of the angular displacement divided by the displacement in the time interval t.
		The torque acting on the particle is proportional to its angular acceleration.
		Derive the expression for centripetal acceleration in terms of angular speed.
	www.wilsonhs.org /benjamin/apphyCH10.htm (663 words)

	A 4 kg mass is attached to a 2 kg pulley with a radius 0
		Because of the surface friction, the two disks eventually attain a common angular speed.
		A 1 kg ball moves with 2 m/s speed in a circle of radius 1 m on a frictionless table.
		A particle of mass 0.5 kg and speed 3 m/s hits the rod at a distance 0.6 m from the pivot and stick to it.
	www.phy.ohiou.edu /~hla/Ch10.htm (375 words)

	More Info on Qualitative Aspects of Rotational Dynamics (Site not responding. Last check: 2007-10-08)
		angular speed, and angular acceleration can be developed for this simple model.
		This vector character is introduced mainly because the components of angular momentum vectors are used for electron revolution (angular momentum quantum number) and rotation (spin quantum number) in quantum chemistry.
		The kinematics of angular motion of rigid objects is often an analog of the translational motion case and therefore can be easily considered.
	dev.nsta.org /ssc/moreinfo.asp?id=1016 (376 words)

	conservation of energy & angular momentum in a comet orbit
		Speed wrt sun and observer (this is the object's speed relative to the sun and and to the observer)
		The units of angular speed will be radians/s if tangential speed and the comet-sun distance incorporate the same distance units (e.g., kilometers).
		Angular momentum is another quantity that remains constant in an orbit as Kepler knew.
	www.phy.duke.edu /~kolena/comet.html (1829 words)

	[No title]
		REASONING AND SOLUTION The tangential speed, vT, of a point on the earth's surface is related to the earth's angular speed EMBED "Equation" "Word Object36" \* mergeformat according to EMBED Equation.DSMT4 , Equation 8.9, where r is the perpendicular distance from the point to the earth's rotation axis.
		The average angular speed of the pulsar is, from Equation 8.2, EMBED Equation.DSMT4 ____________________________________________________________________________________________ 5.
		Therefore, according to Equation 8.9, the linear speed of the chain as it moves between the sprockets is EMBED "Equation" "Word Object4" \* mergeformat b.
	www.fiu.edu /~tgarcia/teaching/phy2053/ch8.doc (1027 words)

	[No title]
		Angular momentum= moment of inertia x angular speed
		Moment of inertia is dependent upon the mass distribution and the location of the axis of rotation.
		When a skater’s angular speed increases this means that he/she pulls her arms and legs as close to the center of the body as possible.
	www.unc.edu /~whitt/AngularMomentum.htm (231 words)

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