Project ForgeManufacturing Engineering
Metal Casting
GATE 2014
Medium
An aluminium alloy (density 2600 kg/m³) casting is to be produced. A cylindrical hole of 100 mm diameter and 100 mm length is made in the casting using a sand core (density 1600 kg/m³). The net buoyancy force (in newton) acting on the core is __________.
7.7 N(± 0.4 accepted)
Explanation
Core volume V=(π/4)D²L=(π/4)×0.1²×0.1≈7.854×10⁻⁴ m³. Net buoyancy force = (ρ_metal − ρ_core)·V·g = (2600−1600)×7.854×10⁻⁴×9.81 ≈ 7.7 N.
Source: GATE ME 2014 (Session 1 / Set-1) (2014)
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