Relative Velocity: Understanding Rotation & Magnitude

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SUMMARY

The discussion centers on the complexities of relative velocity in rotating frames of reference. Specifically, it addresses the scenario where object A is stationary and object B moves in a circular path around A. The key conclusion is that the velocities and accelerations of A relative to B and B relative to A do not necessarily have the same magnitude and opposite direction due to the effects of rotation. A diagram illustrating this relationship is recommended for clarity.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and acceleration
  • Familiarity with rotational motion and frames of reference
  • Ability to interpret and create diagrams representing motion
  • Knowledge of vector addition and subtraction in physics
NEXT STEPS
  • Study the principles of rotational dynamics in classical mechanics
  • Learn about non-inertial reference frames and their effects on motion
  • Explore vector calculus as it applies to relative motion
  • Review examples of circular motion and its implications on relative velocity
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in advanced concepts of motion and relative velocity in rotating systems.

yuhaoz
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I am really confused about relative velocity when one frame is rotating.

Is it possible to have velocity/acceleration of A relative to B and velocity/acceleration of B relative to A not having same magnitude and opposite direction?

Any explanation will be helpful!

Thank you
 
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Draw a diagram of A being stationary, and B moving around A in a circle, and plot B's location at several instants. Now, consider what B would see if he assumed that he was stationary, and mark off A's location relative that of B at the same selection of instants.

Chet
 
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