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GATE 2026 PI – Question 65

Manufacturing Processes I · Polymers and Composites · 2 marks · Numerical answer

In the composite filament-winding process shown, a 700 mm mandrel rotates at 6 rev/min. Find axial slider speed v_c (m/s, two decimals) for a 45° helical winding angle. Use π = 22/7 and ignore previously wound layer thickness. Figure is not to scale.

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Correct answer: 0.21 to 0.23

Explanation

Mandrel circumferential speed is $v_t=\pi DN/60=(22/7)(0.7)(6)/60=0.22$ m/s. At a 45° helix, axial and circumferential speeds have equal magnitudes because tan45° = 1. Therefore **v_c = 0.22 m/s**.

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