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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)(

Feb 06, 2014 · Rick Field 2/6/2014 University of Florida PHY 2053 Page 5 Exam 2 Spring 2011: Problem 2 • A race car accelerates uniformly from a speed of 40 m/s to a speed of 58 m/s in 6 seconds while traveling around a circular track of radius 625 m. When the car reaches a speed of 50 m/s what is the magnitude of its total acceleration (in m/s2)? Answer: 5

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