Classical Mechanics | 5.7: Variable Radius: Radial Velocity and the Coriolis Term

Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/classical-m... In pure circular motion the radius is fixed and the velocity is purely tangential. Let the radius change and new terms appear: a radial velocity, an extra inward acceleration, and the famous Coriolis term in the tangential direction. This video derives them all by differentiating the position vector of a spiraling particle. Key concepts covered: Position, velocity, and acceleration when the radius varies in time The radial velocity component from a changing radius The product rule applied to a spiraling motion The Coriolis term in the tangential acceleration A worked example of a particle spiraling outward ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from https://ocw.mit.edu/courses/8-01sc-cl...