Basic Question about vectors in polar coordinates

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SUMMARY

The discussion centers on the definition of the angular velocity vector, denoted as w, in the context of circular motion. The equation provided, v = w x r, illustrates the relationship between linear velocity v, angular velocity w, and the radius vector r. The angular velocity vector w represents the rate of rotation and its direction is perpendicular to the plane of rotation. Understanding this vector is crucial for analyzing motion in polar coordinates.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with circular motion concepts
  • Knowledge of cross product operations
  • Basic principles of polar coordinates
NEXT STEPS
  • Study the properties of angular velocity vectors in physics
  • Learn about the application of the cross product in vector analysis
  • Explore the relationship between linear and angular motion
  • Investigate polar coordinate transformations in physics
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to vectors in polar coordinates.

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Homework Statement



Ok so for circular motion we have v = w x r

where w and r are vectors..

my question s very simple..what is the vector w?

Homework Equations





The Attempt at a Solution

 
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The angular velocity vector.
 

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