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Ch10 Review - Δ θ in a time interval Δ t its average...

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Print this page REVIEW & SUMMARY Angular Position To describe the rotation of a rigid body about a fixed axis, called the rotation axis , we assume a reference line is fixed in the body, perpendicular to that axis and rotating with the body. We measure the angular position θ of this line relative to a fixed direction. When θ is measured in radians , (10-1) where s is the arc length of a circular path of radius r and angle θ . Radian measure is related to angle measure in revolutions and degrees by (10-2) Angular Displacement A body that rotates about a rotation axis, changing its angular position from θ 1 to θ 2 , undergoes an angular displacement (10-4) where Δ θ is positive for counterclockwise rotation and negative for clockwise rotation. Angular Velocity and Speed If a body rotates through an angular displacement
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Unformatted text preview: Δ θ in a time interval Δ t , its average angular velocity ω avg is (10-5) The (instantaneous) angular velocity ω of the body is (10-6) Both ω avg and ω are vectors, with directions given by the right-hand rule of Fig. 10-6. They are positive for counterclockwise rotation and negative for clockwise rotation. The magnitude of the body's angular velocity is the angular speed . Angular Acceleration If the angular velocity of a body changes from ω 1 to ω 2 in a time interval Δ t = t 2- t 1 , the average angular acceleration α avg of the body is (10-7) The (instantaneous) angular acceleration α of the body is (10-8) Page 1 of 1 Review & Summary 12/23/2010 http://edugen.wiley.com/edugen/courses/crs4957/halliday9118/halliday9118c10/aGFsbGl. .....
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