Ex_2Dmotion_nt

Ex_2Dmotion_nt - 2-D Particle Kinematics Motion in n-t...

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2-D Particle Kinematics – Motion in n-t coordinates (1) Velocity: Direction - velocity is tangent to the path, so υ G is directed along the + t axis. Speed (magnitude of velocity) - ds dt = where s is the actual traveling distance along the trajectory (2) Acceleration: 22 ˆ ˆ tn t aa ta n a a a =+ = + G n Tangential acceleration: t d a dt = . Normal acceleration: 2 n a R = R = radius of curvature Circular motion 2 radius of the circle ( : radial acceleration) rad t nr a d d a dt Ra R = == = Uniform circular motion: υ = constant 2 0 2 2 4 4 t a d a R Rf T R R f RT π υπ = = = Example 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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This note was uploaded on 04/12/2008 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.

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Ex_2Dmotion_nt - 2-D Particle Kinematics Motion in n-t...

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