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12-circular and relative motion 2

# 12-circular and relative motion 2 - PHYS 211 2D and 3D...

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PHYS 211 2/11/09 2D and 3D Motion Describe: Circular Motion Relative Motion

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Uniform Circular Motion Velocity and acceleration vectors constant magnitude changing direction a c = 4 π 2 r T 2 a c = v 2 r
Ferris Wheel A woman rides a carnival Ferris wheel at radius 15 m, completing 5 turns about its horizontal axis every minute. What are the period and frequency of the motion? What is the tangential speed of the rider? T = 1 min 5 rev = 60 s 5 = 12 s f = 1 T = 1 12 s = 0.08 Hz v = 2 π r T = 7.85 m / s

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Circular Motion An object moves with constant speed along a circular path in a horizontal xy plane, with the center at the origin. When the object is at x=-2m, its velocity is -(4m/s) ĵ . What is the (a) velocity and (b) acceleration at y=2m? 1) (a) 4 m/s î (b) 8 m/s 2 ĵ 2) (a) -4 m/s î (b) -4 m/s 2 ĵ 3) (a) 4 m/s î (b) 4 m/s 2 ĵ 4) (a) -4 m/s î (b) -8 m/s 2 ĵ 5) (a) -4 m/s î (b) 8 m/s 2 ĵ
Relative Motion - 1D Follow the ball as I walk with it. Displacement vector is drawn in a coordinate system, but which “reference frame” do we use? You see the ball moving (A), I see it stationary (B). If a frame has zero or constant velocity, it is called an inertial reference frame .

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12-circular and relative motion 2 - PHYS 211 2D and 3D...

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