Angular and Linear Quantities Rotational Kinetic Energy Moment
![-Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs. -Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs.](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-1.jpg)
![Tangential (Linear) Speed and Angular Speed s=qr Tangential (Linear) Speed and Angular Speed s=qr](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-2.jpg)
![Tangential Acceleration and Angular Acceleration Tangential Acceleration and Angular Acceleration](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-3.jpg)
![Angular and Linear Quantities • Displacements • Speeds • Accelerations • Every point on Angular and Linear Quantities • Displacements • Speeds • Accelerations • Every point on](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-4.jpg)
![Remember: Centripetal Acceleration v is the tangential speed Remember: Centripetal Acceleration v is the tangential speed](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-5.jpg)
![Resultant Linear Acceleration • The net acceleration is the sum of the tangential and Resultant Linear Acceleration • The net acceleration is the sum of the tangential and](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-6.jpg)
![Rotational Kinetic Energy • A particle in a rotating object has rotational kinetic energy: Rotational Kinetic Energy • A particle in a rotating object has rotational kinetic energy:](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-7.jpg)
![Rotational Kinetic Energy and Moment of Inertia • The total rotational kinetic energy of Rotational Kinetic Energy and Moment of Inertia • The total rotational kinetic energy of](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-8.jpg)
![Moment of Inertia, I • Moment of Inertia, I, is a measure of the Moment of Inertia, I • Moment of Inertia, I, is a measure of the](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-9.jpg)
![Example #20 Rigid rods of negligible mass lying along the y axis connect three Example #20 Rigid rods of negligible mass lying along the y axis connect three](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-10.jpg)
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![Angular and Linear Quantities Rotational Kinetic Energy Moment of Inertia AP Physics C Mrs -Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs.](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-1.jpg)
-Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs. Coyle
![Tangential Linear Speed and Angular Speed sqr Tangential (Linear) Speed and Angular Speed s=qr](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-2.jpg)
Tangential (Linear) Speed and Angular Speed s=qr
![Tangential Acceleration and Angular Acceleration Tangential Acceleration and Angular Acceleration](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-3.jpg)
Tangential Acceleration and Angular Acceleration
![Angular and Linear Quantities Displacements Speeds Accelerations Every point on Angular and Linear Quantities • Displacements • Speeds • Accelerations • Every point on](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-4.jpg)
Angular and Linear Quantities • Displacements • Speeds • Accelerations • Every point on the rotating object has the same angular motion but not the same linear motion. The a and v are functions of r.
![Remember Centripetal Acceleration v is the tangential speed Remember: Centripetal Acceleration v is the tangential speed](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-5.jpg)
Remember: Centripetal Acceleration v is the tangential speed
![Resultant Linear Acceleration The net acceleration is the sum of the tangential and Resultant Linear Acceleration • The net acceleration is the sum of the tangential and](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-6.jpg)
Resultant Linear Acceleration • The net acceleration is the sum of the tangential and centripetal accelerations.
![Rotational Kinetic Energy A particle in a rotating object has rotational kinetic energy Rotational Kinetic Energy • A particle in a rotating object has rotational kinetic energy:](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-7.jpg)
Rotational Kinetic Energy • A particle in a rotating object has rotational kinetic energy: Ki = ½ mivi 2 , vi = wi r (tangential velocity) For the Object:
![Rotational Kinetic Energy and Moment of Inertia The total rotational kinetic energy of Rotational Kinetic Energy and Moment of Inertia • The total rotational kinetic energy of](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-8.jpg)
Rotational Kinetic Energy and Moment of Inertia • The total rotational kinetic energy of the rigid object is the sum of the energies of all its particles • I is called the moment of inertia
![Moment of Inertia I Moment of Inertia I is a measure of the Moment of Inertia, I • Moment of Inertia, I, is a measure of the](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-9.jpg)
Moment of Inertia, I • Moment of Inertia, I, is a measure of the resistance of an object to changes in its rotational motion. • Moment of Inertia is analogous to mass in translational motion.
![Example 20 Rigid rods of negligible mass lying along the y axis connect three Example #20 Rigid rods of negligible mass lying along the y axis connect three](https://slidetodoc.com/presentation_image/237d2cc04f1a13254a1289a658e4c100/image-10.jpg)
Example #20 Rigid rods of negligible mass lying along the y axis connect three particles. If the system rotates about the x-axis with an angular speed of 2. 00 rad/s find a) the moment of inertia about the x-axis and the total rotational kinetic energy evaluated from ½ I ω2 and b) the tangential speed of each particle and the total kinetic energy evaluated from ½ mi vi 2 Ans: a)92 kg m 2 , 184 J , b) 6 m/s, 4 m/s, 8 m/s, 184 J
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