Velocity and Acceleration in Polar Coordinates
Welcome to Engineering Hack! This video theory only, that is, instead of solving a problem, we are going over the theory of how to derive the velocity and acceleration using polar coordinates. It is quite useful to understand where things come from, especially to understand the (i) radial velocity component, (ii) transverse velocity component, (iii) radial acceleration component and (iv) transverse acceleration component. Please follow the timestamp below to assist in navigating through this video. I've tried to go slowly and explain each step. But if something is unclear, let me know and I'll try to explain it better. radial and transverse components 00:00 Introduction 00:15 Definitions (position vector in Cartesian and polar coordinates) 04:15 Deriving the Velocity (in Cartesian and polar coordinates) 06:27 Deriving unit vector r hat in respect to time 10:53 Defining theta hat 15:25 Velocity in polar coordinates (radial and transverse components) 17:19 Deriving the Acceleration (polar coordinates) 18:39 Deriving unit vector theta (θ) hat in respect to time 20:33 Acceleration in polar coordinates (radial and transverse components) To learn more please watch the video till end and if you have a question just ask in the comments section. If you like the video, please SUBSCRIBE and don't forget to press the bell 🔔, 👍like, comment and share. --------------------------- ▶️ Please Subscribe: / @engineeringhack --------------------------- ▶️Watch More Videos: • 3 block pulley system: • Pulley with Friction | Heavy Block | Newto... • 4 block pulley system: • 4 Block Pulley System | Newton's 2nd Law |... • Circular Particle Motion: • Circular Particle Motion | Changing Accele... • Robot Arm circular motion: • Circular Motion | Robot Arm | Dynamics --------------------------- #dynamics #Engineeringuniversity #problemsolving #EngineeringHack #Forces #friction #engineeringsolutions #engineeringaustralia #engineering #KinematicsofParticles #Kinematics #NewtonsSecondLaw #university #polarcoordinates #transverseforce #radialforce
