{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Rotation - Physics 201 Lecture 16 Rotational Kinematics...

This preview shows pages 1–6. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
3/27/08 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 ! = ! 0 + " 0 t + 1 2 # t 2 ! = constant v = v 0 + at x = x 0 + v 0 t + 1 2 at 2
3/27/08 Physics 201, UW-Madison 5 Question Question A ladybug sits at the outer edge of a merry-go-round that is turning and is slowing down. The vector expressing her angular velocity is A.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}