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4. Rotational Angle and Angular Velocity Centripetial Acceleration Centripetal Force Velocity, Acceleration, and Force Uniform Circular Motion and Gravitation > Velocity, Acceleration, and Force Free to share, print, make copies and changes. Get yours at www.boundless.com www.www/boundless.com/physics?campaign_content=book_624_section_53&campaign_term=Physics&utm_campaign=powerpoint&utm_mediu m=direct&utm_source=boundless

5. Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

6. Key terms acceleration The amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity). angular velocity A vector quantity describing an object in circular motion; its magnitude is equal to the speed of the particle and the direction is perpendicular to the plane of its circular motion. centripetal Directed or moving towards a center. circular motion Motion in such a way that the path taken is that of a circle. radians The angle subtended at the centre of a circle by an arc of the circle of the same length as the circle's radius. velocity A vector quantity that denotes the rate of change of position with respect to time, or a speed with a directional component. Free to share, print, make copies and changes. Get yours at www.boundless.com Uniform Circular Motion and Gravitation

7. Overview of centripetal force A brief overview of centripetal force. Free to share, print, make copies and changes. Get yours at www.boundless.com View on Boundless.com Uniform Circular Motion and Gravitation

8. Centripetal force As an object travels around a circular path at a constant speed, it experiences a centripetal force accelerating it toward the center. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX. "OpenStax College, Centripetal Force. January 25, 2013." CC BY 3.0 http://cnx.org/content/m42086/latest/Figure_07_03_01a.jpg View on Boundless.comCC BY 3.0http://cnx.org/content/m42086/latest/Figure_07_03_01a.jpgView on Boundless.com Uniform Circular Motion and Gravitation

9. Centripetal Acceleration A brief overview of centripetal acceleration for high school physics students. Free to share, print, make copies and changes. Get yours at www.boundless.com View on Boundless.com Uniform Circular Motion and Gravitation

10. Centripetal Acceleration As an object moves around a circle, the direction of the velocity vector constantly changes. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX. "OpenStax College, Centripetal Acceleration. January 25, 2013." CC BY 3.0 http://cnx.org/content/m42084/latest/Figure_07_02_01a.jpg View on Boundless.comCC BY 3.0http://cnx.org/content/m42084/latest/Figure_07_02_01a.jpgView on Boundless.com Uniform Circular Motion and Gravitation

11. Angle θ and Arc Length s The radius of a circle is rotated through an angle Δ. The arc length Δs is described on the circumference. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX. "OpenStax College, College Physics. November 10, 2012." CC BY 3.0 http://cnx.org/content/m42083/latest/?collection=col11406/1.7 View on Boundless.comCC BY 3.0http://cnx.org/content/m42083/latest/?collection=col11406/1.7View on Boundless.com Uniform Circular Motion and Gravitation

12. The Direction of Angular Velocity The angular velocity describes the speed of rotation and the orientation of the instantaneous axis about which the rotation occurs. The direction of the angular velocity will be along the axis of rotation. In this case (counter-clockwise rotation), the vector points upwards. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "Angular velocity." CC BY http://en.wikipedia.org/wiki/Angular_velocity View on Boundless.comCC BYhttp://en.wikipedia.org/wiki/Angular_velocityView on Boundless.com Uniform Circular Motion and Gravitation

13. Angular Velocity A fly on the edge of a rotating object records a constant velocity v. The object is rotating with an angular velocity equal to v/r. Free to share, print, make copies and changes. Get yours at www.boundless.com OpenStax CNX. "OpenStax College, Rotation Angle and Angular Velocity. January 25, 2013." CC BY 3.0 http://cnx.org/content/m42083/latest/Figure_07_01_04a.jpg View on Boundless.comCC BY 3.0 http://cnx.org/content/m42083/latest/Figure_07_01_04a.jpgView on Boundless.com Uniform Circular Motion and Gravitation

14. Free to share, print, make copies and changes. Get yours at www.boundless.com Uniform Circular Motion and Gravitation The rotational angle is a measure of A) how fast an object rotates B) the direction in which an object rotates C) the uniformity of the rotation movement D) how far an object rotates

15. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Uniform Circular Motion and Gravitation The rotational angle is a measure of A) how fast an object rotates B) the direction in which an object rotates C) the uniformity of the rotation movement D) how far an object rotates

16. Free to share, print, make copies and changes. Get yours at www.boundless.com Uniform Circular Motion and Gravitation The centripetal acceleration (aC) may also be expressed in terms of rotational velocity (w) as follows: A), where r is the radius of the circle B), where r is the radius of the circle C), where r is the radius of the circle D), where r is the radius of the circle

17. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Uniform Circular Motion and Gravitation The centripetal acceleration (aC) may also be expressed in terms of rotational velocity (w) as follows: A), where r is the radius of the circle B), where r is the radius of the circle C), where r is the radius of the circle D), where r is the radius of the circle

18. Attribution OpenStax CNX. "OpenStax College, Centripetal Force. September 17, 2013." CC BY 3.0 http://cnx.org/content/m42086/latest/CC BY 3.0http://cnx.org/content/m42086/latest/ Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/angular-velocityCC BY-SA 3.0http://www.boundless.com//physics/definition/angular-velocity Wiktionary. "centripetal." CC BY-SA 3.0 http://en.wiktionary.org/wiki/centripetalCC BY-SA 3.0http://en.wiktionary.org/wiki/centripetal OpenStax CNX. "OpenStax College, Centripetal Acceleration. September 17, 2013." CC BY 3.0 http://cnx.org/content/m42084/latest/CC BY 3.0 http://cnx.org/content/m42084/latest/ Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/circular-motionCC BY-SA 3.0http://www.boundless.com//physics/definition/circular-motion Wiktionary. "acceleration." CC BY-SA 3.0 http://en.wiktionary.org/wiki/accelerationCC BY-SA 3.0http://en.wiktionary.org/wiki/acceleration Wiktionary. "velocity." CC BY-SA 3.0 http://en.wiktionary.org/wiki/velocityCC BY-SA 3.0http://en.wiktionary.org/wiki/velocity OpenStax CNX. "OpenStax College, Rotation Angle and Angular Velocity. September 17, 2013." CC BY 3.0 http://cnx.org/content/m42083/latest/CC BY 3.0 http://cnx.org/content/m42083/latest/ Wiktionary. "radians." CC BY-SA 3.0 http://en.wiktionary.org/wiki/radiansCC BY-SA 3.0http://en.wiktionary.org/wiki/radians Free to share, print, make copies and changes. Get yours at www.boundless.com Uniform Circular Motion and Gravitation