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angular velocity

Julius_Van_Der_Beak

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is sort of a confusing concept. Shouldn't it be angular speed and not velocity? If velocity is speed and direction, how can a constant velocity represent a change in direction?
 

Maou

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Isn't that what orbiting is all about?
 

Coriolis

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is sort of a confusing concept. Shouldn't it be angular speed and not velocity? If velocity is speed and direction, how can a constant velocity represent a change in direction?
If circular motion is viewed in a rectangular coordinate system (standard x, y), then even when the magnitude is constant, the direction is constantly changing. Viewed in cylindrical coordinates, the speed will now be an angular speed (radians or degrees per second), and the direction refers to the axis of rotation. Something spinning at a given frequency around a vertical axis can thus be distinguished from something spinning at the same frequency around a horizontal axis. We can also account for a change in the axis of rotation, as in the precession of a gyroscope or rotating planet.

iu


You can find a brief explanation and a figure here. (By the way, this is a good site for getting basic explanations of physics concepts.)


Isn't that what orbiting is all about?
Orbiting is an important category of angular motion.
 

Julius_Van_Der_Beak

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If circular motion is viewed in a rectangular coordinate system (standard x, y), then even when the magnitude is constant, the direction is constantly changing. Viewed in cylindrical coordinates, the speed will now be an angular speed (radians or degrees per second), and the direction refers to the axis of rotation. Something spinning at a given frequency around a vertical axis can thus be distinguished from something spinning at the same frequency around a horizontal axis. We can also account for a change in the axis of rotation, as in the precession of a gyroscope or rotating planet.

iu


You can find a brief explanation and a figure here. (By the way, this is a good site for getting basic explanations of physics concepts.)
Oh, that clarifies things a bit. The directional component is not the direction of movement of a point on the object (which would be tangential velocity), but rather the direction of the axis of rotation. That way, if say a gyroscope is rotating at a constant speed but is turned on its side while keeping the same speed, the angular velocity would change, meaning that angular acceleration has occurred, meaning that force was applied to it to cause the angular acceleration.
 

Coriolis

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Oh, that clarifies things a bit. The directional component is not the direction of movement of a point on the object (which would be tangential velocity), but rather the direction of the axis of rotation. That way, if say a gyroscope is rotating at a constant speed but is turned on its side while keeping the same speed, the angular velocity would change, meaning that angular acceleration has occurred, meaning that force was applied to it to cause the angular acceleration.
Yes. Just as linear motion at a given speed can aim in any direction, so rotation at a given frequency can be "around" any direction. When students move from studying translation to rotation, it always seems to take more effort/work to understand.
 
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