Transcription of Circular Motion Kinematics - MIT
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Circular Motion Kinematics - MIT
Circular Motion Kinematics W04D1 Today s Reading Assignment: MIT Course Notes Chapter 6 Circular Motion Sections Announcements Math Review Week 4 Tuesday 9-11 pm in 26-152. Next Reading Assignment (W04D2): MIT Course NotesChapter 9 Circular Motion Dynamics Sections Kinematics in Two-Dimensions: Circular Motion Polar Coordinate System Coordinates Unit vectors Relation to Cartesian Coordinates (r, ) ( r, ) r=cos i+sin j = sin i+cos j r=x2+y2 =tan 1(y/x)Coordinate Transformations Transformations between unit vectors in polar coordinates and Cartesian unit vectors r(t)=cos (t) i+sin (t) j (t)= sin (t) i+cos (t) j i=cos (t) r(t) sin (t) (t) j=sin (t) r(t)+cos (t) (t)Concept Question.
Acceleration and Circular Motion When an object moves in a circular orbit, the direction of the velocity changes and the speed may change as well. For circular motion, the acceleration will always have a non-positive radial component (a r) due to the change in direction of velocity, (it may be zero at the instant the velocity is zero).
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