Rotating Drive Arithmetic: Torque, Speed and Power

Rotating Drive Arithmetic: Torque, Speed and Power

Original quantitative learning practice in English. All 24 questions are included. Four supplied cases exercise six related calculation targets; they form one topic, not four separate tests. Every question includes the complete initial data. Use the stated model and retain intermediate precision. Choose one answer. Learning target: 20/24, not an official pass mark. This bank covers the calculation topic in its title; it is not a complete professional examination, design approval or operating instruction.
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A model shaft transmits 160 N·m at 2100 revolutions per minute. Use π=3.1416, angular speed=2π×rpm/60 and power=torque×angular speed. A following reduction has speed ratio 5:1 and power efficiency 90%. Ignore other losses; no vehicle operating limit is specified. Calculate the output speed in rpm. Keep intermediate values unrounded; round the final result to four decimal places if necessary.