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:

Slope

In mathematics, the rate at which a line inclines or declines, representing the ratio of the vertical change to the horizontal change.

Intercept

The value where a line crosses the y-axis in a graph.

Predicted GPA

An estimation of a student's grade point average based on variables or predictors such as study habits, high school GPA, and standardized test scores.

Slope

A measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.