Physics equations/06-Uniform Circular Motion and Gravitation/Q:derive
The following derivation of a=v2/r for uniform circular motion needs to be studied before the student attempts this quiz:
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Using the figure we define the distance traveled by a particle during a brief time interval, , and the (vector) change in velocity:
1 , and
2 (rate times time equals distance).
3 (definition of acceleration).
4 (taking the absolute value of both sides).
5 (by similar triangles). Substituting (2) and (4) yields:
6 , which leads to , and therefore:
7
Practice quiz
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