2-D Motion in n-tcoordinates •Velocity: velocity is tangent to the path, so υGis directed along the +taxis. •Acceleration: 22ˆˆtntaatan a a a=+⇒=+GnTangential acceleration: tdadt=. Normal acceleration: 2naR=R= radius of curvature −Circular motion 2, radius of the circle (: radial acceleration)radraddaRadtRυυ====Uniform circular motion: υ= constant 2240 , 2, 4radRRfaaTRTπυπυπ=======RfExample The Ferris wheel has a 12 m radius and rotates clockwise as shown. (a) If the wheel is rotating at a constant rate with four turns every minute, find the magnitude and direction of the acceleration of the rider at
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