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Comprehensive and Detailed Explanation:

When gears mesh, the teeth must move past each other at the same contact speed. Because a smaller gear has fewer teeth and a smaller circumference, it must rotate more times to match the motion of the larger gear.

Therefore, the smaller gear rotates faster than the larger gear, making option A correct.

This principle is widely used in machinery where changes in speed or torque are required. Large gears often provide increased torque, while small gears can increase rotational speed. Understanding gear relationships helps operators interpret equipment behavior and diagnose mechanical issues.

Mechanical Concepts questions frequently assess gear systems because they demonstrate fundamental principles of motion transfer. When comparing connected gears, remember that smaller gears generally spin faster, while larger gears generally spin slower. Since the smaller gear must complete more revolutions to keep pace with the larger gear's tooth movement, it rotates at the higher speed.