AP Physics 1 - Unit 6 Review - Energy and Momentum of Rotating Systems - Exam Prep

This is a review of AP Physics 1 Unit 6, Energy and Momentum of Rotating Systems, part of the AP Physics 1 Ultimate Review Packet. Topics: rotational kinetic energy; torque and work; angular momentum and angular impulse; Conservation of Angular Momentum and Newton's Third Law in rotational form; rolling with and without slipping; and orbiting satellites, including circular vs. elliptical orbits and escape velocity. Want Lecture Notes? → http://www.flippingphysics.com/ap-phy... Don't forget to check out my AP Physics 1 Ultimate Exam Slayer and Ultimate Review Packet to maximize your preparation: https://www.ultimatereviewpacket.com/... Want to review more AP Physics 1 topics? See my review playlist:    • AP Physics 1 Review   Thank you to Beth Baran and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at   / flippingphysics   Thank you to Swayam Gupta, Julie Langenbrunner, and Christopher Becke for being my Quality Control Team for this video. http://flippingphysics.com/quality-co... Chapters: 0:00 Introduction 0:32 Rotational Kinetic Energy 1:22 Torque and Work 3:23 Angular Momentum and Angular Impulse 8:14 Conservation of Angular Momentum 11:32 Rolling 16:46 Motion of Orbiting Satellites #APPhysics1 #Unit6 #ExamPrep Curriculum Standards: AP Physics 1, Unit 6 Energy and Momentum of Rotating Systems Topic 6.1 Rotational Kinetic Energy 6.1.A.1, 6.1.A.1.ii, 6.1.A.3: K = ½Iω²; total kinetic energy is the sum of rotational KE about the center of mass and translational KE of the center of mass; rotational KE is a scalar. Topic 6.2 Torque and Work 6.2.A.1, 6.2.A.2, 6.2.A.3: torque transfers energy over an angular displacement (W = τΔθ); work is also the signed area under a torque-vs-angular-position graph. Topic 6.3 Angular Momentum and Angular Impulse 6.3.A.1, 6.3.A.2, 6.3.A.2.i, 6.3.A.2.ii: L = Iω for a rigid system; L = rmv sinθ for a point particle, depending on distance, mass, speed, angle, and the axis chosen. 6.3.B.1, 6.3.B.2, 6.3.B.3, 6.3.C.2.i, 6.3.C.2.ii, 6.3.C.3: angular impulse = τΔt, points along the torque, and equals the signed area under a torque-vs-time graph; it also equals ΔL, giving τ_net = ΔL/Δt = Iα; net torque is the slope of an L-vs-time graph. Topic 6.4 Conservation of Angular Momentum 6.4.A.2.i, 6.4.A.2.iii, 6.4.B.2, 6.4.B.3: angular impulse between two objects is equal and opposite (Rotational Third Law); a nonrigid system's angular speed can change without changing its angular momentum if its shape changes; angular momentum is constant when net external torque is zero, and transferred to/from the environment when it is nonzero. Topic 6.5 Rolling 6.5.A.1, 6.5.B.1, 6.5.B.2, 6.5.C.1, 6.5.C.2: total KE = translational + rotational KE; rolling without slipping gives Δx_cm = rΔθ, v_cm = rω, a_cm = rα, with static friction doing no work; rolling with slipping breaks these relations, and kinetic friction dissipates energy since its contact point moves relative to the surface. Topic 6.6 Motion of Orbiting Satellites 6.6.A.1, 6.6.A.2.i, 6.6.A.2.ii: a much-less-massive satellite means its central object barely moves; circular orbits conserve mechanical energy, GPE, angular momentum, and KE; elliptical orbits conserve only mechanical energy and angular momentum. 6.6.A.3, 6.6.A.3.i, 6.6.A.3.ii: escape velocity is the speed at which system mechanical energy equals zero, so speed reaches zero only at infinite distance; derivable from conservation of energy. Cambridge International A Level Physics (9702), Topic 13.2 Gravitational Force Between Point Masses 13.2.3: circular orbits in gravitational fields, relating gravitational force to centripetal acceleration. IB Physics, A.4 Rigid Body Mechanics (Understandings, HL only) Rotational kinetic energy Ek = ½Iω²; angular momentum L = Iω; angular impulse ΔL = τΔt = Δ(Iω); angular momentum remains constant unless acted on by a resultant torque. IB Physics, D.1 Gravitational Fields (Additional Higher Level, Understandings) Escape speed at any point in a gravitational field, v_esc = √(2GM/r). JEE Main & NEET, Unit 5 Rotational Motion Rotational motion, torque, angular momentum, conservation of angular momentum, moment of inertia, rigid body rotation and equations of rotational motion. JEE Main & NEET, Unit 6 Gravitation Escape velocity, motion of a satellite, orbital velocity, time period and energy of satellite. Ontario Physics (SPH4U), Strand D Gravitational, Electric, and Magnetic Fields D2.2 (SPH4U): universal gravitation and circular motion, incl. satellite orbits. Australian Curriculum Physics, Unit 3 & 4 ACSPH101: universal gravitation explains satellite motion as uniform circular motion. Gaokao (China), Compulsory Module 2, Topic 2.2 Curvilinear Motion and Universal Gravitation 2.2.5: calculate orbital speed of satellites; know the second and third cosmic (escape) velocities.