Newton's Second Law in Spherical Coordinates | Classical Mechanics

In order to use Newton's Second Law in spherical coordinates, you need the acceleration in spherical coordinates. Here's how to do that. Related - Newton's second law in polar coordinates (easier) https://youtu.be/EYPwDVANokc 00:00 - Intro 00:28 - Review Acceleration in Cartesian Coordinates 02:59 - Spherical Coordinates 08:37 - Spherical to Cartesian 09:47 - Finding r-hat 12:18 - Finding phi-hat 14:11 - Finding theta-hat 15:42 - Review 1 16:34 - Velocity in spherical 22:03 - Acceleration in spherical 24:20 - d(theta-hat)/dt 27:14 - d(phi-hat)/dt 31:29 - Review 2 32:15 - Finishing acceleration 36:00 - Newton's second law