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GATE 2025 PI – Question 31

Manufacturing Processes II · Machine Tools · 1 mark · Numerical answer

A lathe has a single-start lead screw of 6 mm pitch. It cuts a double-start thread of 3 mm pitch while the spindle runs at 400 rpm. Find lead-screw speed (integer rpm).

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Correct answer: 399 to 401

Explanation

The workpiece thread lead is starts × pitch = 2 × 3 = 6 mm per spindle revolution. Each lead-screw revolution also advances 6 mm. Their rotational-speed ratio is one, so **400 rpm**.

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