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7 August, 04:39

2. A sand core used to form the internal surfaces of a brass casting experiences a buoyancy force of 14 kg. The volume of the mold cavity forming the outside surface of the casting = 4500 cm3. What is the weight of the final casting? Ignore considerations of shrinkage. (Sand density = 1.6 g/cm3, brass casting density = 8.62 g/cm3).

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  1. 7 August, 04:44
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    weight of final casting is 1134.4 kg

    Explanation:

    The formula for buoyancy force is;

    B=ρ*v*g where

    B=Buoyancy force in Newtons=140N

    ρ=density of sand = 1.6g/cm³=1600kg/m³

    v=volume of sand displaced

    g=acceleration due to gravity = 9.8 m/s²

    Applying the formula,

    140=1600*v*9.806

    140=15689.6v

    140/15689.6 = v

    0.008923 m³=v

    This the volume of the displaced body

    The volume of the mold cavity forming the outside surface of the casting = 4500 cm³ = 0.0045 m³

    Total volume will be : 0.008923 + 0.0045 = 0.01342 m³

    Formula for mass of brass = density of brass * total volume

    Mass of brass=8620 * 0.01342 = 115.7

    Weight of brass = mass of brass*acceleration due to gravity

    w=mg

    w=115.7*9.806 = 1134.4 kg
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