PH 212

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Circular motion

Uniform circular motion

First let's review vectors a bit. Which way does the resultant vector v2 - v1 point?

Consider the diagram below. Which direction does v2 - v1 point? How about v3 - v2? How about v4 - v3?

All Dv vectors point radially inward. We can extend this concept to see that as we increase the number of vectors and approach a circle, the Dv vectors continue to point radially inward.

Derive radial acceleration

For uniform circular motion, the magnitudes of the velocity vectors are equal: v1 = v2 so the triangles are similar.

There is a conceptual correlation between the linear kinematic equations and circular motion kinematics.

Circular motion graphical representations are similar to those for linear kinematics. The slope of q vs. t gives w The slope of w vs. t gives a

Make sure you know and understand the following equations: