3d dynamics rotation/inertial formula question

AI Thread Summary
The equation R' = RΩ represents the relationship between the derivative of a position vector R and the angular velocity Ω in the context of rotational dynamics. R is a position vector, while Ω denotes angular velocity, indicating how the position vector changes over time due to rotation. This formula is essential for understanding how objects move in circular motion, where tangential velocity is derived from the radius and angular velocity. The discussion highlights confusion about the equation's meaning and its application in rotational motion. Clarifying these concepts is crucial for solving problems related to dynamics and circular motion.
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Homework Statement



I just saw the equation R'=RΩ (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?).
Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the angular velocity, but I don't get what this equation is saying. Thanks.


Homework Equations





The Attempt at a Solution

 
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For Circular motion, the tangential velocity (m/s) = radius of circle (m) x angular velocity (radians/s)
 
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