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Sagot :
Answer:
- the weight of the gravel is 1183.56 kg/m³
- the weight of sand is 588.98 kg/m³
- the weight of water is 165.784 kg/m³
Explanation:
Given the data in the question;
mixture content of the gravel = 1173 kg/m³
sand content = 582 kg/m³
free water content = 157 kg/m³
moist of gravel = 0.9%
absorption of gravel = 1.5%
moist of sand = 1.2%
absorption of sand = 1.5%
masses of gravel, sand, and water per cubic meter that should be used at the job site ?
To get the weight of moist gravel, we use the following equation;
Weight of moist gravel = content of gravel × ( 1 + moist of gravel )
we substitute
Weight of moist gravel = 1173 × ( 1 + 0.9%)
Weight of moist gravel = 1173 × ( 1 + 0.009)
Weight of moist gravel = 1173 × 1.009
Weight of moist gravel = 1183.56 kg/m³
Therefore, the weight of the gravel is 1183.56 kg/m³
To get weight of the sand, we use the following formula;
Weight of sand = sand content × ( 1 + moist of sand )
we substitute
Weight of sand = 582 × ( 1 + 1.2% )
Weight of sand = 582 × ( 1 + 0.012 )
Weight of sand = 582 × 1.012
Weight of sand = 588.98 kg/m³
Therefore, the weight of sand is 588.98 kg/m³
To get the weight of mix water ; we use the following equation;
[tex]Mix-Water_{weight[/tex] = water content - gravel content( moist of gravel - absorption of gravel) - sand content( moist of sand - absorption of sand )
so we substitute
[tex]Mix-Water_{weight[/tex] = 157 - 1173( 0.9% - 1.5%) - 582( 1.2% - 1.5% )
[tex]Mix-Water_{weight[/tex] = 157 - 1173( 0.009 - 0.015) - 582( 0.012 - 0.015 )
[tex]Mix-Water_{weight[/tex] = 157 - 1173( -0.006 ) - 582( -0.003 )
[tex]Mix-Water_{weight[/tex] = 157 + 7.038 + 1.746
[tex]Mix-Water_{weight[/tex] = 165.784 kg/m³
Therefore, the weight of water is 165.784 kg/m³
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