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Unformatted text preview: 1 Physics 1D03 Rotation (III) Rotation (III) Torque and angular acceleration Moment of inertia Text Sections : 10.7, and parts of 10.4, 10.5 Practice Problems: Chapter 10, Problems 25 a), 29, 30, 37, 39 Physics 1D03 How much torque does it take to rotate a particular object? Better: How much torque does it take to change the rate of rotation ? What property of an object determines the response (angular acceleration) to an unbalanced external torque? Force causes linear acceleration: F net = m a Torque causes angular acceleration: net = I ? 2 Physics 1D03 The angular acceleration of a particle is proportional to the net torque applied to it. Example : A particle accelerates in a circle. Break the net force on it into radial and tangential components. Only F t causes tangential acceleration: I = F t F r r F t = ma t = m(r ) , since a t = r Multiply by r : rF t = mr 2 or torque = ( mr 2 ) for a single particle: I=mass (distance from rotation axis) 2...
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