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Rotational Inertia and Torque
“Rollin, Rollin, Rollin”
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Rotational Inertia Dfn:Resistance of a body to rotational motion; Resistance to a change in spin. Depends both on the mass and location of the mass on the object. Bodies with more mass nearer the axis of rotation have a lower rotational inertia.
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Torque Dfn: A force that causes a change in spin; vector; Newton meter
Lever arm: distance between where force is applied and spin axis Torque directly depends on the magnitude of force perpendicular to the lever arm and length of the lever arm
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Rotation Rotation occurs when torques are not balanced. That is, when there is a net torque on an object. Angular Acceleration = Torque / Rotational Inertia (Newton’s 2nd Law Applied to Rotation).
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Angular Momentum We go round and round and round and round and round and round and round and round
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Angular Momentum Dfn: Measurement of the amount of spin an object has; vector; kg m m rev/ sec. L = I w Direction determined using the right hand rule
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Conservation of Angular Momentum
The angular momentum of a closed system remains constant if no outside torques are exerted. When angular momentum is conserved, both the rotational speed and the direction of the spin axis remains constant.
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