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Question
does this gear ratio provide more speed, torque, or equal amounts of both? torque 11 speed equal
Step1: Understand gear ratio principle
In gears, when a smaller gear drives a larger gear, it provides more torque. Here, the left (smaller) gear drives the right (larger) gear.
Step2: Analyze speed - torque relation
The formula for gear ratio \(r=\frac{N_2}{N_1}\) (where \(N_1\) is teeth on driving gear, \(N_2\) on driven gear). Torque \(T\) relation: \(T_2 = T_1\times r\) (assuming no losses). Since \(N_2>N_1\), \(r > 1\), so \(T_2>T_1\). Speed \(v=\frac{\omega}{N}\) ( \(\omega\) is angular velocity). \(v_2=\frac{v_1}{r}\), so \(v_2 < v_1\).
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