Lect10 - Physics 101: Lecture 10 Application of Newton's...

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Physics 101: Lecture 10, Pg 1 Physics 101: Physics 101: Lecture 10 Lecture 10 Application of Newton's Laws Application of Newton's Laws New Material: Textbook Chapter 5 Circular Motion & Centripetal Acceleration
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Physics 101: Lecture 10, Pg 2 You are twirling a ball on string. What happens if the string breaks ? a b c v
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Physics 101: Lecture 10, Pg 3 Acceleration in Uniform Circular Motion Acceleration in Uniform Circular Motion (circular motion with constant speed) (circular motion with constant speed) v 1 v 2 v v 2 v 1 R R a v R = 2 centripetal acceleration a a = v v / t Uniform motion: magnitudes of v1,v2 are equal: v 1 =v 2 Distance traveled (small t) : R = v t Similar triangles: R/R = v/v => v/ t= v t= v 2/R /R
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Physics 101: Lecture 10, Pg 4 Uniform Circular Motion Uniform Circular Motion (circular motion with constant speed) (circular motion with constant speed) v R a v R = 2 centripetal acceleration Instantaneous velocity is tangent to circle Instantaneous acceleration is radially inward There must be a force to provide the acceleration a
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Physics 101: Lecture 10, Pg 5
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Lect10 - Physics 101: Lecture 10 Application of Newton's...

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