Uniform Circular Motion: a Disk-Shaped Space Station 175 M in Diameter

question 43

Short Answer

Uniform circular motion: A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center. How many rpm (rev/min) must this disk make so that the acceleration of all points on its rim is g/2?

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Definitions:

Utility Function

A mathematical representation of how a set of goods or services provide a level of satisfaction or utility to an individual or entity.

Compensating Variation

An economic concept representing the amount of money an individual would need to reach a level of utility as before an economic change.

Income

The total earnings acquired by an individual or business from various sources including work, investments, or sales, crucial for determining spending, savings, and investment decisions.

Utility Function

Reflects the consumer's preferences, assigning values to combinations of goods and services to indicate the satisfaction gained from them.