Chapter 8 Rotational Equilibrium and Dynamics

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Presentation transcript:

Chapter 8 Rotational Equilibrium and Dynamics pgs. 277 - 304

Objectives Calculate angular momentum of an object in rotational motion. Describe conservation of angular momentum of a system.

Angular Momentum (L) The product of a rotating object’s moment of inertia and angular speed Units of kg•m2/s

Conservation of Angular Momentum Angular momentum is neither gained nor lost Li = Lf I1ω1i + I2ω2i = I1ω1f + I2ω2f I1ω1i + I2ω2i = (I1 + I2)ωf (I1 + I2)ωi = I1ω1f + I2ω2f

A 65 kg student is spinning on a merry-go-round that has a mass of 525 kg and a radius of 2.00 m. She walks from the edge of the merry-go-round toward the center. If the angular speed of the merry-go-round is initially 0.20 rad/s, what is its angular speed when the student reaches a point 0.5 m from the center?