Rotational Kinematics

# Rotational Kinematics - One-Dimensional Kinematics Thus we...

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Rotational Kinematics In this section we will use our new definitions for rotational variables to generate kinematic equations for rotational motion. In addition, we will examine the vector nature of rotational variables and, finally, relate linear and angular variables. Kinematic Equations Because our equations defining rotational and translational variables are mathematically equivalent, we can simply substitute our rotational variables into the kinematic equations we have already derived for translational variables. We could go through the formal derivation of these equations, but they would be the same as those derived in
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Unformatted text preview: One-Dimensional Kinematics . Thus we can simply state the equations, alongside their translational analogues: v f = v o + at σ f = σ o + αt x f = x o + v o t + at 2 μ f = μ o + σ o t + αt 2 v f 2 = v o 2 + 2 ax σ f 2 = σ o 2 +2 αμ x = ( v o + v f ) t μ = ( σ o + σ f ) t These equations for rotational motion are used identically as the corollary equations for translational motion. In addition, like translational motion, these equations are only valid when the acceleration, α , is constant. These equations are frequently used and form the basis for the study of rotational motion....
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