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Physics 1 Problem Solutions 43

Physics 1 Problem Solutions 43 - Chapt 4 Two and...

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Chapt. 4 Two- and Three-Dimensional Kinematics 39 What are displacement, velocity, acceleration in coordinates, Alex? a) polar b) Cartesian c) spherical polar d) elliptical e) hyperbolical 004 qmult 00550 1 4 3 easy deducto-memory: centripetal acceleration defined sort of Extra keywords: physci 26. “Let’s play Jeopardy ! For $100, the answer is: It is the acceleration in a case of circular motion.” What is , Alex? 004 qmult 00552 1 1 3 easy memory: centripetal acceleration formula 1 27. The radial component of acceleration in polar coordinates a r = d 2 r dt 2 r parenleftbigg dt parenrightbigg 2 = d 2 r dt 2 2 specializes to if the motion is circular and centered on the origin. In this case, the radial component of acceleration is called centripetal (meaning center pointing) since, in fact, it is always negative (i.e., the radial component of acceleration always points toward the origin). The radial component of velocity for circular motion is zero naturally and the angular component, often called the tangential velocity is given by v θ = rω. Usually, one drops the subscripts r and θ on a r and v θ if the quantities are identified by context.
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