A 245-Kg Child Is Standing on the Outer Edge of a a Horizontal

question 49

Short Answer

A 24.5-kg child is standing on the outer edge of a horizontal merry-go-round that has a
moment of inertia of $$989 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$$ about a vertical axis through its center and a radius of
2.40 m. The entire system (including the child) is initially rotating at 0.180 rev/s. Find the
angular velocity if the child moves to a new position 1.10 m from the center of the
merry-go-round.

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Definitions:

Sea Level

The average height of the ocean's surface between high and low tide; used as a standard base for measuring elevations.

Inches Hg

A unit of pressure measurement equivalent to inches of mercury, commonly used in aviation and weather forecasting.

Fluids

Substances that have no fixed shape and yield easily to external pressure; can be liquids, gases, or plasmas.

Gases

Substances that exist in the gaseous state under standard conditions of temperature and pressure, often used as fuel, in industrial processes, or in refrigeration systems.