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GATE 2022 PI – Question 55

Manufacturing Processes II · Computer Integrated Manufacturing · 2 marks · Numerical answer

A positioning table is driven by a 4 mm pitch lead screw. An 80-tooth gear on a stepper-motor shaft drives a 20-tooth lead-screw gear. Motor step angle is 9°. Find pulses to move the table 200 mm (integer).

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Correct answer: 498 to 502

Explanation

Each pulse turns the motor 9/360 = 1/40 revolution. Gear ratio multiplies screw rotation by 80/20 = 4, giving 0.1 screw revolution/pulse. Travel per pulse = 4×0.1 = 0.4 mm. Required pulses = 200/0.4 = **500**.

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