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36: Rotational Motion

Last updated

Aug 7, 2024
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- 35.3: Inverse
- 36.1: Translational vs. Rotational Motion

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We can describe the rotation of a solid body about an axis in a manner similar to the way we describe linear motion.

First, instead of the giving position of the body along an axis, we specify its rotation angle $\theta$ relative to an agreed-upon zero rotation angle. Then we define an angular velocity $\omega$ in a way similar to the definition of linear velocity:

$\omega=\frac{d \theta}{d t}$

We also define an angular acceleration $\alpha$ that's analogous to linear acceleration:

$\alpha=\frac{d \omega}{d t}=\frac{d^{2} \theta}{d t^{2}}$

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