How to Calculate and Solve for Sum of Forces Acting on Particle | Mineral Processing

The image above represents sum of forces acting on particle.

To compute for sum of forces acting on particle, two essential parameters are needed and these parameters are Mass of Particle (mp) and Acceleration (a).

The formula for calculating sum of forces acting on particle:

Σf = mp.a

Where:

Σf = Sum of Forces Acting on Particle
mp = Mass of Particle
a = Acceleration

Let’s solve an example;
Find the sum of forces acting on particle when the mass of particle is 12 and the acceleration is 4.

This implies that;

mp = Mass of Particle = 12
a = Acceleration = 4

Σf = mp.a
Σf = (12)(4)
Σf = 48

Therefore, the sum of forces acting on particle is 48 N.

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How to Calculate and Solve for %Heat Loss in Flue Gas | Fuel and Furnaces

The image above represents %heat loss in flue gas.

To compute for %heat loss in flue gas, four essential parameters are needed and these parameters are Mass (m), Specific Heat of Stock (Cp), Change in Temperature (ΔT) and Gross Calorific Value of Fuel (GCVf).

The formula for calculating %heat loss in fuel gas:

%QL = 100(mCpΔT/GCVf)

Where:

%QL = %Heat Loss in Flue Gas
m = Mass
Cp = Specific Heat of Stock
ΔT = Change in Temperature
GCVf = Gross Calorific Value of Fuel

Let’s solve an example;
Find the %heat loss in flue gas when the mass is 10, the specific heat of shock is 14, the change in temperature is 12 and the gross calorific value of fuel is 18.

This implies that;

m = Mass = 10
Cp = Specific Heat of Stock = 14
ΔT = Change in Temperature = 12
GCVf = Gross Calorific Value of Fuel = 18

%QL = 100(mCpΔT/GCVf)
%QL = 100(10(14)(12)/18)
%QL = 100(1680/18)
%QL = 100(93.33)
%QL = 9333.3

Therefore, the %heat loss of flue gas is 9333.3%.

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How to Calculate and Solve for Electron Kinetic Energy | X-Ray Crystallography

The image above represents electron kinetic energy.

To compute for electron kinetic energy, two essential parameters are needed and these parameters are Mass (m) and Velocity (v).

The formula for calculating electron kinetic energy:

eV = mv²/2

Where:

eV = Electron Kinetic Energy
m = Mass
v = Velocity

Let’s solve an example;
Find the electron kinetic energy when the mass is 12 and velocity is 24.

This implies that;

m = Mass = 12
v = Velocity = 24

eV = mv²/2
eV = (12)(24)²/2
eV = (12)(576)/2
eV = (6912)/2
eV = 3456

Therefore, the electron kinetic energy is 3456 J.

Calculating the Mass when the Electron Kinetic Energy and the Velocity is Given.

m = eV x 2 / v2

Where;

m = Mass
eV = Electron Kinetic Energy
v = Velocity

Let’s solve an example;
Find the mass when the electron kinetic energy is 12 and the velocity is 4.

This implies that;

eV = Electron Kinetic Energy = 12
v = Velocity = 4

m = eV x 2 / v2
m = 12 x 2 / 42
m = 24 / 16
m = 1.5

Therefore, the mass is 1.5.

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How to Calculate and Solve for Velocity | De Broglie’s Law

The image above represents velocity.

To compute for velocity, three essential parameters are needed and these parameters are Planck’s Constant (h), Wavelength (λ) and Mass (m).

The formula for calculating velocity:

v = h / λm

Where;

v = velocity
λ = wavelength
h = Planck’s constant
m = mass

Let’s solve an example;
Find the velocity when the wavelength is 10, the planck’s constant is 6.626e-34 and the mass is 5.

This implies that;

λ = wavelength = 10
h = Planck’s constant = 6.626e-34
m = mass = 5

v = h / λm
v = 6.62607004e-34 (10)(5)
v = 6.62607004e-34 (50)
v = 1.33e-35

Therefore, the velocity is 1.33e-35 m/s.

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