SC PHYS 201 - Rotational Work (3 pages)

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Rotational Work

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Rotational Work


Lecture number:
Lecture Note
University Of South Carolina-Columbia
Phys 201 - General Physics I

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Phys 201 1nd Edition Lecture 21 Outline of Last Lecture I Torque and inertia Outline of Current Lecture II Conservation of Angular Momentum III Torque and Angular Momentum IV Rotational Work V Rotational Kinetic Energy Current Lecture Conservation of Angular Momentum There are certain instances in which the rotational velocity of an object changes but its angular momentum stays the same This is because the radius of an object is inversely correlated with the velocity of the object Remember that the angular momentum L of an object is written as L mVR This means that if we isolate the velocity of the object the equation will read V L mR This means that as the radius of the object becomes smaller the velocity will increase and vice versa The most common example of the conservation of angular momentum is a figure skater performing a spin When the skater spins with their arms extended the rotate much slower than when they pull their arms in even though no extra work is applied to make them go faster This is because the skater has a larger radius with their arms extended than with their arms pulled close to their body Torque and Angular momentum Remember that angular momentum is a vector and therefore has both direction and magnitude both of which are affected by torque In relation to angular momentum the equation for torque is Tnet L t This means that the direction of the change in angular momentum is the same as the direction of the torque Torque can increase or decrease the angular momentum of an object but it can also cause precession Precession is a change in the orientation of the axis of a rotating object Precession is best demonstrated by the behavior of These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute gyroscopes like a spinning top In this case the weight of the top is directed downwards from its center and the normal force of a surface is pushing upwards on it

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