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does this gear ratio provide more speed, torque, or equal amounts of bo…

Question

does this gear ratio provide more speed, torque, or equal amounts of both? torque 11 speed equal

Explanation:

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 \(v_2 < v_1\).

Answer:

Torque