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.