Relationships Between Rotational and Translational Variables

Relationships Between Rotational and Translational...

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Relationships Between Rotational and Translational Variables Now that we have established both equations for our variables and kinematic equations relating them, we can also relate our rotational variables to translational variables. This can sometimes be confusing. It is easy to think that because a particle is engaged in rotational motion, it is not also defined by translational variables. Simply remind yourself that no matter what path a given particle is traveling in, it always has a position, velocity and acceleration. The rotational variables we generated do not substitute for these traditional variables; instead, they simplify calculations involving rotational motion. Thus we can relate our rotational and translational variables. Translational and Angular Displacement Recall from our definition of angular displacement that: μ = s / r Implying that s = μr Thus the displacement, s , of a particle in rotational motion is given by the angular displacement multiplied by the radius of the particle from the axis of rotation. We can differentiate both sides
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Relationships Between Rotational and Translational...

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