Transcription of Circular Motion Tangential & Angular Acceleration
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Circular Motion Tangential & Angular Acceleration
Rick Field 2/6/2014 University of FloridaPHY 2053 Page 1 Circular MotionTangential & Angular Acceleration rvt=The arc length s is related to the angle (in radians = rad) as follows: Tangential Acceleration : rs= tradialtradialtotaraaaa+ =+=rrr rdtdrdtdvatt===dtdtt = = 0lim(radians/s2) Overall Acceleration : Tangential VelocityThe Tangential velocity vtis related to the Angular velocity as follows: The Tangential Acceleration atis related to the Angular Acceleration as follows: at ar Radial Axis r rvt=tv22tradialtottotaaaa+==rRadial AccelerationTangential AccelerationRick Field 2/6/2014 University of FloridaPHY 2053 Page 2 at ar Radial Axis rAngular Equations of Motion Angular Equations of Motion (constant ): 22100)(ttt ++=()0202)(2)( = ttIf the Angular Acceleration is constant thentt +=0)( =)(tRadial AccelerationTangential Acceleration22100)(tatvststt++=tavtvttt+ =0)( rtat=)(()0202
Feb 06, 2014 · Gravitation: Circular Orbits (M >> m) F g M v r m r3 GM ω= 2 2 2 mrω r v ma m GmM F g radial= • Kepler’s Third Law: For circular orbits the gravitational force is perpendicular to the velocity and hence the speed of the mass m is constant. The force F g is equal to the mass times the radial (i.e. centripetal) acceleration as follows ...
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