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Page "Gyroscope" ¶ 31
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rotation and resulting
This is in contrast to an insertion where a rotation resulting in a balance factor of 0 indicated that the subtree's height has remained unchanged.
Also shown, are the known satellites and the exceptional shape of resulting from its rapid rotation.
Rather than firing every 120 ° of crankshaft rotation, the cylinders would fire alternately at 90 ° and 150 °, resulting in strong harmonic vibrations at certain engine speeds.
The resulting horizontal pressure gradient accelerates the air from high to low pressure, creating wind, and Earth's rotation then causes curvature of the flow via the Coriolis effect.
The net resulting torque from both bulges, then, is always in the direction which acts to synchronize B's rotation with its orbital period, leading eventually to tidal locking.
The resulting strain would lead to the rotation of the contact zone between the slabs to dip towards the lighter slab, and the dip would be reduced until offset along the contact zone would be enabled.
78 rpm was chosen as the standard because of the introduction of the electrically powered synchronous turntable motor in 1925, which ran at 3600 rpm with a 46: 1 gear ratio, resulting in a rotation speed of 78. 26 rpm.
The resulting series of transverse axes permit the sliding and rolling motion in the flexing knee while ensuring the collateral ligaments are sufficiently lax to permit the rotation associated with the curvature of the medial condyle about a vertical axis.
The direction of the discharges indicate the cylinder's rotation, and resulting rotational axis of the ball lightning in accordance to the law of laminar flow.
However, piston acceleration and deceleration are greater in the top half of the crankshaft rotation than in the bottom half, because the connecting rods are not infinitely long, resulting in a non sinusoidal motion.
However, only the rotational motion in the direction of the observer can be measured by this means, so the resulting data provides a lower limit on the star's rotation.
This means that the luminosity of the star changes because of magnetic activity in the chromosphere coupled with rotation moving the resulting star spots into and out of the line of sight with respect to the Earth.
# Paralysis of the teres minor muscle and deltoid muscle, resulting in loss of abduction of arm ( from 15-90 degrees ), weak flexion, extension, and rotation of shoulder.
* Observations that are incompatible with the Ptolemaic model: the phases of Venus, for instance, which simply couldn't happen, or the apparent motions of sunspots, which could only be explained in the Ptolemaic or Tychonic systems as resulting from an implausibly complicated precession of the Sun's axis of rotation.
If two different curves are given with the same initial and terminal point, and a vector v is rigidly moved along the first curve by a rotation, the resulting vector at the terminal point will be different from the vector resulting from rigidly moving v along the second curve.
The storm quickly developed supercell characteristics and began exhibiting potentially tornadic rotation, resulting in the NWS issuing the first tornado warning of the event for Comanche, Caddo and Grady counties 22 minutes later at 4: 47 p. m. CDT.
Considering the Hafele-Keating experiment in a frame of reference at rest with respect to the center of the earth, a clock aboard the plane moving eastward, in the direction of the Earth's rotation, had a greater velocity ( resulting in a relative time loss ) than one that remained on the ground, while a clock aboard the plane moving westward, against the Earth's rotation, had a lower velocity than one on the ground.
Some image viewers, such as Windows Photo Viewer that comes with Windows operating systems, change a JPEG image if it is rotated, resulting in loss of image quality ; others offer lossless rotation.
One complication is that Scott's phonautograms were recorded on machines which were hand-cranked rather than motor-driven, resulting in unsteady rotation of the cylinder.
He explains that Oz is on a retrograde planet, where the direction of rotation relative to the poles is reversed, resulting in the sun seeming to rise in what would normally be the west.

rotation and from
Time coordinates on the TAI scales are conventionally specified using traditional means of specifying days, carried over from non-uniform time standards based on the rotation of the Earth.
Canadian syllabics differ from other abugidas in that the vowel is indicated by rotation of the consonantal symbol, with each vowel having a consistent orientation.
The heavenly bodies, he asserted, were masses of stone torn from the earth and ignited by rapid rotation.
If the fletching is not arranged to induce rotation, it will still improve accuracy by causing a restoring drag any time the arrow tilts away from its intended direction of travel.
The increasing eastward momentum imparted by the winds causes water parcels to drift outwards from the axis of the Earth's rotation ( in other words, northward ) as a result of the Coriolis force.
For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is
However, if neither the central object nor the surrounding ring were absolutely rigid then the parts of one or both of them would tend to fly out from the axis of rotation.
The height of the water h = h ( r ) is a function of the radial distance r from the axis of rotation Ω, and the aim is to determine this function.
where r is the radius from the axis of rotation.
To see the principle of an equal-energy surface at work, imagine gradually increasing the rate of rotation of the bucket from zero.
The principle of operation of the centrifuge also can be simply understood in terms of this expression for the potential energy, which shows that it is favorable energetically when the volume far from the axis of rotation is occupied by the heavier substance.
If the substituents are numbered from 1 ( highest priority ) to 4 ( lowest priority ), then the sense of rotation of a curve passing through 1, 2 and 3 distinguishes the stereoisomers.
To convert the reciprocating motion into rotation, the crankshaft has " crank throws " or " crankpins ", additional bearing surfaces whose axis is offset from that of the crank, to which the " big ends " of the connecting rods from each cylinder attach.
CheY induces tumbling by interacting with the flagellar switch protein FliM, inducing a change from counter-clockwise to clockwise rotation of the flagellum.
By treating the extra acceleration terms due to the rotation of the frame as if they were forces, subtracting them from the physical forces, it's possible to treat the second time derivative of position ( relative to the rotating frame ) as absolute acceleration.
In a rotating frame of reference, the time derivatives of the position vector, such as velocity and acceleration vectors, of an object will differ from the time derivatives in the stationary frame according to the frame's rotation.
In other words, the apparent velocity in the rotating frame is altered by the amount of the apparent rotation at each point, which is perpendicular to both the vector from the origin and the axis of rotation and directly proportional in magnitude to each of them.
Unlike the other two fictitious forces, the centrifugal force always points radially outward from the axis of rotation of the rotating frame, with magnitude, and unlike the Coriolis force in particular, it is independent of the motion of the particle in the rotating frame.
Given r, the rate of rotation is easy to infer from the constant angular momentum L, so a 2D solution can be easily reconstructed from a 1D solution of this equation.
The radius of curvature of the path is ρ as found from the rate of rotation of the tangent to the curve with respect to arc length, and is the radius of the osculating circle at position s. The unit circle on the left shows the rotation of the unit vectors with s.

rotation and torque
An alternative explanation is that the moving arms have precession torque on them which set the body into twisting rotation.
Moving the arms back produces opposite torque which stops the twisting rotation.
Conversely, the gravity of the satellite on the bulges applies torque on the primary and speeds up its rotation.
If the speed of the rotation and the magnitude of the torque are constant, the axis will describe a cone, its movement at any instant being at right angles to the direction of the torque.
Combined over the entire wheel, there is a torque around the gimbal axis when some spinning is added to rotation around a vertical axis.
Precession is the result of the angular velocity of rotation and the angular velocity produced by the torque.
It is an angular velocity about a line that makes an angle with the permanent rotation axis, and this angle lies in a plane at right angles to the plane of the couple producing the torque.
Relationship between force F, torque τ, linear momentum p, and angular momentum L in a system which has rotation constrained in one plane only ( forces and moments due to gravity and friction not considered ).
Mathematically, torque is defined as the cross product of force and the lever-arm distance, which tends to produce rotation.
It points along the axis of the rotation that this torque would initiate, starting from rest, and its direction is determined by the right-hand rule.
The unbalanced torque on a body along axis of rotation determines the rate of change of the body's angular momentum,
This equation has the limitation that the torque equation is to be only written about instantaneous axis of rotation or center of mass for any type of motion-either motion is pure translation, pure rotation or mixed motion.
In such an arrangement, the generator's angular speed is fixed by the grid's frequency, and the power output of the plant is determined by the torque applied to the generator's axis of rotation.
This offset bulge exerts a net torque on the Moon, boosting it while slowing the Earth's rotation.
The gravitational torque between the Moon and the tidal bulge of the Earth causes the Moon to be promoted in its orbit, and the Earth to be decelerated in its rotation.
It follows from this that a torque τ applied perpendicular to the axis of rotation, and therefore perpendicular to L, results in a rotation about an axis perpendicular to both τ and L. This motion is called precession.

0.459 seconds.