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10-4   Rotation with Constant Angular Acceleration

10-4   Rotation with Constant Angular Acceleration.

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10-4   Rotation with Constant Angular Acceleration

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  1. 10-4   Rotation with Constant Angular Acceleration •12   The angular speed of an automobile engine is increased at a constant rate from 1200 rev/min to 3000 rev/min in 12 s. (a) What is its angular acceleration in revolutions per minute-squared? (b) How many revolutions does the engine make during this 12 s interval?

  2. 10-5   Relating the Linear and Angular Variables

  3. 10-6 Kinetic Energy of Rotation K = ½ Iω2

  4. 10-7 Calculating the Rotational Inertia If a rigid body consists of a few particles, we can calculate its rotational inertia about a given rotation axis with the following equation: If a rigid body consists of a great many adjacent particles (it is continuous, like a Frisbee), we replace the sum in the above equation with an integral and define the rotational inertia of the body as:

  5. Rotational Inertias of continuous Objects

  6. Parallel-Axis Theorem The parallel-axis theorem relates the rotational inertia I of a body about any axis to that of the same body about a parallel axis through the center of mass, where h is the perpendicular distance between the two axes.

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