Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.31 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 495 rev/min. The second disk, with rotational inertia 5.57 kg·m2 about its central axis, is set spinning counterclockwise at 773 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 773 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?
Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.31 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 495 rev/min. The second disk, with rotational inertia 5.57 kg·m2 about its central axis, is set spinning counterclockwise at 773 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 773 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?
Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.31 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 495 rev/min. The second disk, with rotational inertia 5.57 kg·m2 about its central axis, is set spinning counterclockwise at 773 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 773 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?
Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.31 kg·m2 about its central axis, is set spinning counterclockwise (which may be taken as the positive direction) at 495 rev/min. The second disk, with rotational inertia 5.57 kg·m2 about its central axis, is set spinning counterclockwise at 773 rev/min. They then couple together. (a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 773 rev/min, what are their (b) angular velocity (using the correct sign for direction) and (c) direction of rotation after they couple together?
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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