A fiber laser cuts 3 mm steel at 2 kW. Initial temperature 30°C; melting point 1530°C; absorptivity 50%; density 8000 kg/m³; specific heat 500 J/(kg·°C); latent heat 3 × 10⁵ J/kg. Spot and kerf width are 0.2 mm. Assume 100% melting efficiency. Find maximum full-cut speed in m/s to three decimals.
Absorbed power is 1000 W. Specific melting energy is $500(1530-30)+300000=1050000$ J/kg. Removed cross-section is 0.003×0.0002 = 6×10⁻⁷ m², so mass removed per metre is 8000×6×10⁻⁷ = 0.0048 kg/m. Energy per metre = 5040 J/m. Speed = 1000/5040 = **0.198 m/s**.
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