Machining Maths: Two-Stage Compound Gear Trains

Machining Maths: Two-Stage Compound Gear Trains

Original quantitative topic practice in English. All 24 questions are included in a shuffled order. Each question supplies its own data and model assumptions; use only those assumptions. Choose one answer. Practice target: 20/24, not an official examination pass mark. Keep full intermediate precision. These exercises cover the calculation scope in the title; they do not constitute a full Red Seal examination, trade qualification, site design or operating specification.
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Gear A (26 teeth) drives B (78 teeth). B shares a shaft with C (24 teeth), which drives D (72 teeth. A runs at 1170 rpm. Ignore slip and losses. For each mesh, driven rpm = driver rpm × driver teeth/driven teeth. Report speed magnitudes only. A counter on D counts one pulse per revolution. Calculate the output speed at D in rpm. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.