Mechanics: Chapter 4 – Uniform Circular Motion and Galilean Velocity Transformation

Transforming the velocity of an object from one reference frame to another requires little more than common sense. Let’s see I have a reference frame A and a reference from B. Now I have the velocity of A with respect to B, and the velocity of B with respect to a third reference frame C, then the velocity of A with respect to C will be the sum of the velocity of A with respect to B and the velocity of B with respect to C. In mathematical terms,

  • v_{A|C} = v_{A|B} + v_{B|C}

For the kinematics of uniform circular motion, just remember how to calculate the centripetal acceleration:

  • a_{c} = \frac{v^2}{r}

Where v is the tangential speed of the object and r is the radius of the circle in which the object is moving.

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