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More Connect Wheels (Bicycles)
12. Rotational Kinematics / More Connect Wheels (Bicycles) / Problem 1
Problem 1

Consider a industrial machine that has two gears connected by a single chain. The driving gear, that is powered by an engine, has a radius of 8.0 cm. The driven gear, that is connected to the machinery, has a radius of 16.0 cm. When the engine runs, the driving gear rotates with an angular velocity of ωd\(\omega\)_{d}. Calculate the ratio of the angular velocity of the driven gear ωf\(\omega\)_{f} to the angular velocity of the driving gear ωd\(\omega\)_{d}.
Diagram showing two gears connected by a chain, with radii labeled 8.0 cm and 16.0 cm.