Answer:
a) 2 chaplets
b) 9 chaplets
Explanation:
Before we can determine the minimum number of chaplets that should be placed beneath and above the core, we must know the mass of the sand used to make the surface of the mold cavity as well as the mass of the steel metal poured inside the mold.
Density is defined as the ratio of mass of a substance to its density.
Density = Mass/Volume
For the STEEL:
Density of steel = 7.82g/cm³
Volume = volume of the core = 5450cm³
Mass = Density × Volume
Mass of steel = 7.82×5450
Mass of steel = 42619g
Mass of steel in kg = 42.619kg
For the SAND:
Density of sand = 1.6g/cm³
Volume = volume of the core = 5450cm³
Mass = Density × Volume
Mass of sand = 1.6×5450
Mass of sand = 8720g
Mass of sand in kg = 8.72kg
a) Since the the chaplet support the sand from beneath the core, and each chaplet weighs 45N, we need to know the amount of force possessed by the sand.
Since the mass of the sand is 87.2kg
Weight = mass × acceleration due to gravity
Weight = 8.72×9.81
Weight of sand used to mold the core = 85.54N
Since 1 chaplet weighs 45N
This means that (85.54N/45N) i.e 1.9 which is approximately 2 chaplets must be placed beneath the core to sustain it before the steel metal is poured.
b) Since the metal poured in the core is steel, this means that the chaplet placed above the core must be able to withstand the strength of the steel.
Weight of steel = mass of steel × acceleration due to gravity
Weight of steel = 42.619×9.81
Weight of steel = 418.09N
Since one chaplet weigh 45N, the amount of chaplets that must be placed above the core is;
418.09/45
= 9.3
Therefore the minimum number of chaplets that should be placed above the core after pouring steel metal is 9chaplets.
