Project ForgeA 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The axial feed of the tool is 1 m/minute and the specific cutting energy (u) of the tube material is 6 J/mm³. Neglect contribution of feed force towards power. The power required to carry out this operation is _________ kW (round off to one decimal place).
Explanation
Since the entire wall is cut in one pass, the tool removes a ring-shaped cross-section of area ≈πDt=π×100×1≈314.16mm² as it advances axially. Axial feed velocity=1000mm/60s≈16.67mm/s. MRR=314.16×16.67≈5236mm³/s. Power=u×MRR=6×5236≈31,416W≈31.4kW.
Source: GATE ME 2022 Session 1 (ME-1) (2022)
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