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

Feb 06, 2014 · Rick Field 2/6/2014 University of Florida PHY 2053 Page 2 a t a r Radial Axis r Angular Equations of Motion • Angular Equations of Motion (constant α): 2 2 1 =θ 0 ω0+ αt 0 2 0 2ω =2α(t)− θIf the angular acceleration αis constant then ω(t) =ω

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