Rotation - Physics 201: Lecture 16 Rotational Kinematics...

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3/27/08 Physics 201, UW-Madison 1 Physics 201: Lecture 16 Physics 201: Lecture 16 Rotational Kinematics Analogy with one-dimensional kinematics Kinetic energy of a rotating system Moment of inertia Discrete particles Continuous solid objects
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3/27/08 Physics 201, UW-Madison 2 Question Question Consider the following situation: You are driving a car with constant speed around a horizontal circular flat track. On a piece of paper, draw a Free Body Diagram (FBD) for the car. Is the car being accelerated? A. Yes, radially inward B. Yes, radially outward C. No D. Insufficient information CORRECT
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3/27/08 Physics 201, UW-Madison 3 Rotational Variables. .. Rotational Variables. .. In Uniform Circular Motion ω was constant Now suppose ω can change as a function of time: We define the angular acceleration: θ ω α Consider the case when α is constant. Integrate ω and θ wrt time: Recall for a point a distance R from the axis of rotation: x = θ R Differentiating: v = ω R a = α R ! = d " dt = d 2 # dt 2 = 0 + 0 t + 1 2 t 2 = constant = 0 + t
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Physics 201, UW-Madison 4 Summary Summary (with comparison to 1-D kinematics) (with comparison to 1-D kinematics) Angular Linear And for a point at a distance R from the rotation axis: x = R θ v = ω R a = α R ! = constant = 0 + t + 1 2 at 2
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This note was uploaded on 03/27/2008 for the course PHYS 201 taught by Professor Walker during the Spring '08 term at Wisconsin.

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Rotation - Physics 201: Lecture 16 Rotational Kinematics...

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