Chapt. 4Two- and Three-Dimensional Kinematics39What are displacement, velocity, acceleration incoordinates, Alex?a) polarb) Cartesianc) spherical polard) ellipticale) hyperbolical004 qmult 00550 1 4 3 easy deducto-memory: centripetal acceleration defined sort ofExtra keywords:physci26. “Let’s playJeopardy! 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 127. The radial component of acceleration in polar coordinatesar=d2rdt2−rparenleftbiggdθdtparenrightbigg2=d2rdt2−rω2specializes toif the motion is circular and centered on the origin. In this case,the radial component of acceleration is called centripetal (meaning center pointing) since, infact, it is always negative (i.e., the radial component of acceleration always points toward theorigin). The radial component of velocity for circular motion is zero naturally and the angularcomponent, often called the tangential velocity is given byvθ=rω.Usually, one drops the subscriptsrandθonarandvθif the quantities are identified by context.
This is the end of the preview.
access the rest of the document.