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Chapter 9 Rotational Dynamics

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9.5 Rotational Work and Energy

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DEFINITION OF ROTATIONAL WORK The rotational work done by a constant torque in turning an object through an angle is Requirement: The angle must be expressed in radians. SI Unit of Rotational Work: joule (J)

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9.5 Rotational Work and Energy

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DEFINITION OF ROTATIONAL KINETIC ENERGY The rotational kinetic energy of a rigid rotating object is Requirement: The angular speed must be expressed in rad/s. SI Unit of Rotational Kinetic Energy: joule (J)

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9.5 Rotational Work and Energy Example 13 Rolling Cylinders A thin-walled hollow cylinder (mass = m h, radius = r h ) and a solid cylinder (mass = m s, radius = r s ) start from rest at the top of an incline. Determine which cylinder has the greatest translational speed upon reaching the bottom.

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9.5 Rotational Work and Energy ENERGY CONSERVATION

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9.5 Rotational Work and Energy The cylinder with the smaller moment of inertia will have a greater final translational speed.

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Rotational Dynamics. Moment of Inertia The angular acceleration of a rotating rigid body is proportional to the net applied torque: is inversely proportional.

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