2053Lecture12 - Conservation of Energy & Rotational...

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Unformatted text preview: Conservation of Energy & Rotational Motion Topics of Discussion Rotational Kinetic Energy Conservation of Energy Angular Momentum Conservation of Angular Momentum Rotational Kinetic Energy The rotational kinetic energy associated with a body experiencing uniform circular motion is given by KEr = I2/2 where is angular speed (or frequency) and I is moment of inertia. The SI unit of rotational kinetic energy is J. Conservation of Energy ( KE The principle of conservation of energy states that the total energy before equals the total energy after, that is t = ( KE t + KE r + PE g + PE s ) after + energy output where KEt is the translational kinetic energy, KEr is the rotational kinetic energy, PEg is the gravitational potential energy and PEs is the potential energy of a spring. + KEr + PE g + PEs ) before + energy input = Definition of Angular Momentum The angular momentum L of a rotating body with angular speed is given by L = I where I is the moment of inertia. The SI unit of angular momentum is kgm2/s. The average torque is related to the angular momentum L by the equation = L/t. The Conservation of Angular Momentum The principle of conservation of angular momentum states that the total angular momentum before equals the total angular momentum after, that is ( I ) before = ( I ) after . ...
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