How do gear tooth counts trade rotational speed for torque in an ideal gear pair?
Build the conceptual model first, then test the same idea through the linked scientific representation or tool.
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Quick story · start here
Build the conceptual model first, then test the same idea through the linked scientific representation or tool.
Scene
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Meshing pitch-line speeds constrain angular velocities, which is why a larger gear rotates more slowly when driven by a smaller gear.
Idea
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For an ideal meshing gear pair, the ratio of rotational speeds is inversely related to tooth counts, while an ideal torque ratio follows the complementary mechanical-advantage relationship subject to the chosen sign convention.