How to Calculate and Solve for Bulk Density | Refractories

The bulk density is illustrated by the image below.

To compute for bulk density, four essential parameters are needed and these parameters are Dried Weight (W), Density of Water (ρw), Soaked Weight (W) and Suspended Weight (S).

The formula for calculating bulk density:

BD = w/W – S

Where:

BD = Bulk Density
D = Dried Weight
ρw = Density of Water
W = Soaked Weight
S = Suspended Weight

Let’s solve an example;
Find the bulk density when the dried weight is 6, the density of water is 10, the soaked weight is 14 and the suspended weight is 9.

This implies that;

D = Dried Weight = 6
ρw = Density of Water = 10
W = Soaked Weight = 14
S = Suspended Weight = 9

BD = w/W – S
BD = (6)(10)/(14 – 9)
BD = (60)/(5)
BD = 12

Therefore, the bulk density is 12g/cm³.

Calculating the Dried Weight when the Bulk Density, the Density of Water, the Soaked Weight and the Suspended Weight is Given.

D = BD(W – S) / ρw

Where:

D = Dried Weight
BD = Bulk Density
ρw = Density of Water
W = Soaked Weight
S = Suspended Weight

Let’s solve an example;
Find the dried weight when the bulk density is 10, the density of water is 4, the soaked weight is 8 and the suspended weight is 5.

This implies that;

BD = Bulk Density = 10
ρw = Density of Water = 4
W = Soaked Weight = 8
S = Suspended Weight = 5

D = BD(W – S) / ρw
D = 10(8 – 5) / 4
D = 10(3) / 4
D = 30 / 4
D = 7.5

Therefore, the dried weight is 7.5g.

Continue reading How to Calculate and Solve for Bulk Density | Refractories

How to Calculate and Solve for Shaft Power | Ball Mill Length

The image above represents shaft power | ball mill length.

To compute for shaft power | ball mill length, six essential parameters are needed and these parameters are Value of C, Volume Load Percentage (J), % Critical Speed (Vcr), Bulk Density (s.g), Mill Length (L) and Mill Internal Diameter (D).

The formula for calculating shaft power | ball mill length:

P = 7.33 x C X J X Vcr x (1 – 0.937) x [1 – 0.1/29 – 10Vcr] x s.g. x L x D2.3

Where:

P = Shaft Power | Ball Mill Length
J = Volume Load Percentage
Vcr = % Critical Speed
sg = Bulk Density
L = Mill Length
D = Mill Internal Diameter

Let’s solve an example;
Find the shaft power | ball mill length when the volume load percentage is 8, the %critical speed is 10, the bulk density is 3. the mill length is 14 and the mill internal diameter is 16.

This implies that;

J = Volume Load Percentage = 8
Vcr = % Critical Speed = 10
sg = Bulk Density = 3
L = Mill Length = 14
D = Mill Internal Diameter = 16

P = 7.33 x C X J X Vcr x (1 – 0.937) x [1 – 0.1/29 – 10Vcr] x s.g. x L x D2.3
P = 7.33 x 1 x 8 x 10 x (1 – 0.937) x [1 – 0.1/29 – 10(10)] x 3 x 14 x 162.3
P = 36.94 x [1 – 0.1/2-91] x 3 x 14 x 588.133
P = 36.94 x [1 – 0.1/4.038e-28] x 24701.609
P = 36.94 x [1 – 2.47e+26] x 24701.609
P = 36.94 x -2.475e+26 x 24701.609
P = -2.259

Therefore, the shaft power | ball mill length is – 2.259 W.

Continue reading How to Calculate and Solve for Shaft Power | Ball Mill Length

How to Calculate and Solve for Bulk Density | Soil Mechanics and Foundation

The image above represents bulk density.

To compute for bulk density, two essential parameters are needed and these parameters are Mass of the soil (m) and Volume of the soil (V).

The formula for calculating bulk density:

sb = m / V

Where:

sb = Bulk Density
m = Mass of the Soil
V = Volume of the Soil

Let’s solve an example;
Find the bulk density when the mass of the soil is 24 and the volume of the soil is 6.

This implies that;

m = Mass of the Soil = 24
V = Volume of the Soil = 6

sb = m / V
sb = 24 / 6
sb = 4

Therefore, the bulk density is 4.

Calculating the Mass of the Soil when the Bulk Density and the Volume of the Soil is Given.

m = sb x V

Where;

m = Mass of the Soil
sb = Bulk Density
V = Volume of the Soil

Let’s solve an example;
Find the mass of the soil when the bulk density is 10 and the volume of the soil is 4.

This implies that;

sb = Bulk Density = 10
V = Volume of the Soil = 4

m = sb x V
m = 10 x 4
m = 40

Therefore, the mass of the soil  is 40.

Continue reading How to Calculate and Solve for Bulk Density | Soil Mechanics and Foundation