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10-4 Rotation with Constant Angular Acceleration.

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## 10-4 Rotation with Constant Angular Acceleration

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**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?**10-6 Kinetic Energy of Rotation**K = ½ Iω2**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:**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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