A Merry-Go-Round with a Moment of Inertia of 6 $\times$ 10³ Kg · M² Is Coasting at 2

question 22

Multiple Choice

A merry-go-round with a moment of inertia of 6.78 $\times$ 10³ kg · m² is coasting at 2.20 rad/s.When a 72.6-kg man steps onto the rim,the angular velocity decreases to 2.0 rad/s.The radius of the merry-go-round is

• A)3.06 m
• B)3.66 m
• C)4.27 m
• D)4.88 m
• E)5.49 m

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Definitions:

Economies of Scale

The cost advantage achieved by businesses when production becomes efficient, as the scale of operation increases leading to a reduction in average costs.

Positive Economic Profits

Earnings that exceed the total costs, including both the explicit and implicit costs of a business.

Expand

To increase the scale, scope, or size of something, often used in the context of business growth or economic expansion.

Increasing-cost Industry

An industry in which production costs increase as output expands, often due to scarce resources or rising input prices.