Rotational Energy.

Slides:

Advertisements

Similar presentations

Rolling Motion of a Rigid Object

Advertisements

1.Rotational inertia is measured in Kg m 2. 2.Set up the formula to convert 45 rev/min into rad/s 45 rev x 2  rad x 1 min min rev 60 s.

Rolling, Torque, and Angular Momentum

Physics 101: Lecture 13 Rotational Kinetic Energy and Inertia

Chapter 11 Angular Momentum

Angular Momentum The vector angular momentum of the point mass m about the point P is given by: The position vector of the mass m relative to the point.

Comparing rotational and linear motion

L24-s1,8 Physics 114 – Lecture 24 §8.5 Rotational Dynamics Now the physics of rotation Using Newton’s 2 nd Law, with a = r α gives F = m a = m r α τ =

Chapter 9 Rotational Dynamics. 9.5 Rotational Work and Energy.

Chapter 11 Rolling, Torque, and angular Momentum.

2008 Physics 2111 Fundamentals of Physics Chapter 11 1 Fundamentals of Physics Chapter 12 Rolling, Torque & Angular Momentum 1.Rolling 2.The Kinetic Energy.

Physics 1710—Warm-up Quiz Two 2.0 kg disks, both of radius 0.10 m are sliding (without friction) and rolling, respectively, down an incline. Which will.

Rolling. Rotation and Translation  A rolling wheel is moving forward with kinetic energy.  The velocity is measured at the center of mass. K CM = ½.

Physics 218, Lecture XX1 Physics 218 Lecture 20 Dr. David Toback.

Rotational Work and Kinetic Energy Dual Credit Physics Montwood High School R. Casao.

Rotational Kinetic Energy. Kinetic Energy The kinetic energy of the center of mass of an object moving through a linear distance is called translational.

Chapter 8 Rotational Motion

Physics. Session Rotational Mechanics - 6 Session Objectives.

Rolling Motion of a Rigid Object AP Physics C Mrs. Coyle.

Wed. March 9th1 PHSX213 class Class stuff –HW6W returned. –HW7. Worth 1.5 times normal assignment. Due Wed Mar. 16 th 6PM. –Practice Exam. –Projects …

Rotational KE, Angular Momentum

Chap. 11B - Rigid Body Rotation

AP Rotational Dynamics Lessons 91 and 94.  Matter tends to resist changes in motion ◦ Resistance to a change in velocity is inertia ◦ Resistance to a.

Physics 201: Lecture 19, Pg 1 Lecture 19 Goals: Specify rolling motion (center of mass velocity to angular velocity Compare kinetic and rotational energies.

1 7/26/04 Midterm 2 – Next Friday (7/30/04)  Material from Chapters 7-12 I will post a practice exam on Monday Announcements.

Find the moments of inertia about the x & y axes:

Rotational Dynamics Chapter 8 Section 3.

The center of gravity of an object is the point at which its weight can be considered to be located.

Angular Mechanics - Contents: Review Linear and angular Qtys Tangential Relationships Angular Kinematics Rotational KE Example | WhiteboardExampleWhiteboard.

Rotational Dynamics. When you apply a force to a rigid body (i.e. one that maintains its form with no internal disruption) at a distance from an axis,

Moment Of Inertia.

Physics 101: Lecture 13, Pg 1 Physics 101: Lecture 13 Rotational Kinetic Energy and Rotational Inertia Exam II.

Angular Mechanics - Torque and moment of inertia Contents: Review Linear and angular Qtys Tangential Relationships Angular Kinematics Rotational KE Example.

1 Work in Rotational Motion Find the work done by a force on the object as it rotates through an infinitesimal distance ds = r d  The radial component.

Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.

Physics 101: Lecture 13, Pg 1 Physics 101: Lecture 13 Rotational Kinetic Energy and Inertia Exam II.

Rotational Inertia & Kinetic Energy AP Phys 1. Linear & Angular LinearAngular Displacementxθ Velocityv  Accelerationa  InertiamI KE½ mv 2 ½ I  2 N2F.

Physics 101: Lecture 13, Pg 1 Physics 101: Lecture 13 Rotational Kinetic Energy and Inertia l Today’s lecture will cover Textbook Section 8.1.

Chapter 11 Angular Momentum; General Rotation 10-9 Rotational Kinetic Energy 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle.

Rotational Dynamics The Action of Forces and Torques on Rigid Objects

Copyright Sautter The next slide is a quick promo for my books after which the presentation will begin Thanks for your patience! Walt S.

Rotational Dynamics.

PHYSICS 111 Rotational Momentum and Conservation of Energy.

Moments of Inertia and Rolling cylinders Prof. Miles Padgett FRSE Dept. Physics and Astronomy University of Glasgow

Angular Momentum. Definition of Angular Momentum First – definition of torque: τ = Frsinθ the direction is either clockwise or counterclockwise a net.

Physics 101: Lecture 13 Rotational Kinetic Energy and Inertia

Physics 3 – Jan 5, 2017 P3 Challenge –

General Physics I Rotational Motion

Physics 101: Lecture 15 Rolling Objects

Physics 101: Lecture 13 Rotational Kinetic Energy and Inertia

Rotational Equilibrium and Dynamics

Rotational Inertia & Kinetic Energy

Chapter 10: Rotational Motional About a Fixed Axis

Angular Motion & Rotational Dynamics Copyright Sautter 2003.

Rotational KE, Angular Momentum

Center of Mass & Rotational Inertia

Translational-Rotational Analogues

HW sets 12, 13, and 14 now available

Rotational Dynamics Continued

Moment of Inertia Rotational Kinetic Energy Angular Momentum

Aim: How do we explain the conservation of angular momentum?

MOMENTUM (p) is defined as the product of the mass and velocity -is based on Newton’s 2nd Law F = m a F = m Δv t F t = m Δv IMPULSE MOMENTUM.

Section 10.8: Energy in Rotational Motion

Chapter 11 Angular Momentum

Rotational Kinetic energy and momentum

Physics 3 – Aug 31, 2017 P3 Challenge –

Rotational Energy.

Chapter 8 Rotational Equilibrium and Dynamics

Angular Kinetic Energy and Momentum

Chapter 8 Rotational Equilibrium and Dynamics

Presentation transcript:

Rotational Energy

Goal of the class To understand conservation of angular momentum and rolling motion Question of the day: Which rolls down a slope faster, a cylinder or a sphere?

Conservation of Angular Momentum I1w1 = I2w2

Conservation of Angular Momentum No torque means dL/dt = 0 Therefore I1w1 = I2w2 Neutron star T=10days Ri = 10,000km Rf = 3km find Tf =9x10-7 days Merry go round

Merry go Round Merry go round R=3m, M=200kg, wi = 2.1rad/s m = 45 kg, starts at edge (3m) walks inwards so r=1m, wf = ? Iw=iW Ii = 1/2MR2 +mR2

Rolling Motion

Pure Rolling Motion Rolling without slipping

Kinetic Energy Rotation Translation Combined KErot = 1/2Iw2 KE = 1/2Mv2 KEroll =1/2 Ip w2 =1/2 (I + MD2) w2 =same as before

Cylinder Rolling down an Incline Highlight they love this in AP exams If sliding 1/2mv2 = mgh Rolling you need 1/2Iw2 too. Which rolls faster a sphere, a cylinder or a ring?