lecture5 - Kinematics in 2-D (II) Kinematics Uniform...

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Kinematics in 2-D (II) Kinematics in 2-D (II) Uniform circular motion Tangential and radial components of Relative velocity and acceleration Serway and Jweett : 4.4 to 4.6 a
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Uniform Circular Motion “uniform” means constant speed velocity changes (direction changes) acceleration : find by subtracting vectors, then v v v t = v a center 1 v 2 v 1 r 2 r What is the value of v/ t, as t 0 ?
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Subtract velocities: θ 1 v 2 v v Compare with displacements: 1 v 2 v 1 r 2 r 1 r 2 r r r r v v = Similar triangles, Note is perpendicular to v r
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r v r v = t t , v r v a as t 0, 2 r v a c = and so Direction: Since v i s perpendicular to r , a is perpendicular to v So, a is towards the centre of the circle (“centripetal”). r
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lecture5 - Kinematics in 2-D (II) Kinematics Uniform...

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