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A Puck Moves on a Horizontal Air Table 2\sqrt { 2 }

question 86

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A puck moves on a horizontal air table. It is attached to a string that passes through a hole in the center of the table. As the puck rotates about the hole, the string is pulled downward very slowly and shortens the radius of rotation, so the puck gradually spirals in towards the center. By what factor will the puck's angular speed have changed when the string's length has decreased to one-half of its original length?


Definitions:

Concentration of Authority

The centralization of decision-making power within a few positions or persons in an organization.

Organization Levels

The distinct layers of authority within an organization that define hierarchy and the division of roles and responsibilities.

Centralization

The concentration of decision-making authority at the top levels of the organizational hierarchy.

Decentralization

The process of distributing and delegating power away from a central authority within an organization to individual units or departments.

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