lec14 - Physics I Class 14 Cross Product, Torque, and...

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14-1 Physics I Class 14 Cross Product, Torque, and Angular Momentum Rev. 09-Oct-04 GB
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14-2 Review of Angular and Linear Acceleration MUST express angles in radians. r s θ = r v ϖ = r a tangential α = r r r r v a 2 2 2 2 l centripeta ϖ = ϖ = = The radial direction is defined to be + outward from the center. l centripeta radial a a - =
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14-3 Review of Torque For linear motion, we have “F = m a”. For rotation, we have α = τ I The symbol “ τ ” is torque. We will define it more precisely today. When the rotation is speeding up, α and ϖ are in the same direction. When the rotation is slowing down, α and ϖ are in opposite directions. Torque and angular acceleration are always in the same direction in Physics 1.
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14-4 Motivation for the Concept of Torque We know that when we try to throw an object by applying a force off center, that we end up imparting an angular velocity to the object as well as linear velocity. For a given force, the greater the distance it is applied off center, the greater the resulting angular acceleration.
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lec14 - Physics I Class 14 Cross Product, Torque, and...

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