Area of Feed given Crushing Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))
Aa = Ab-((ηc*Wn)/(es))
This formula uses 5 Variables
Variables Used
Area of Feed - (Measured in Square Meter) - Area of Feed is the area per unit mass of the feed.
Area of Product - (Measured in Square Meter) - Area Of Product is the area per unit mass of the milled material.
Crushing Efficiency - Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .
Energy Absorbed By Unit Mass Of Feed - (Measured in Joule) - Energy Absorbed By Unit Mass Of Feed is the amount of energy absorbed by the feed per unit mass.
Surface Energy per Unit Area - (Measured in Joule per Cubic Meter) - Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume.
STEP 1: Convert Input(s) to Base Unit
Area of Product: 100 Square Meter --> 100 Square Meter No Conversion Required
Crushing Efficiency: 0.4 --> No Conversion Required
Energy Absorbed By Unit Mass Of Feed: 20 Joule --> 20 Joule No Conversion Required
Surface Energy per Unit Area: 17.5 Joule per Cubic Meter --> 17.5 Joule per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Aa = Ab-((ηc*Wn)/(es)) --> 100-((0.4*20)/(17.5))
Evaluating ... ...
Aa = 99.5428571428571
STEP 3: Convert Result to Output's Unit
99.5428571428571 Square Meter --> No Conversion Required
FINAL ANSWER
99.5428571428571 99.54286 Square Meter <-- Area of Feed
(Calculation completed in 00.020 seconds)

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13 Formulas on Size Reduction Laws Calculators

Area of Product given Crushing Efficiency
Go Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed
Area of Feed given Crushing Efficiency
Go Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))
Energy Absorbed by Material while Crushing
Go Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency)
Crushing Efficiency
Go Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material
Power Consumption by Mill while Crushing
Go Power Consumption by Mill While Crushing = Power Consumption for Crushing Only+Power Consumption While Mill is Empty
Power Consumption for Crushing only
Go Power Consumption for Crushing Only = Power Consumption by Mill While Crushing-Power Consumption While Mill is Empty
Mechanical Efficiency given Energy fed to System
Go Mechanical Efficiency in Terms of Energy Fed = Energy Absorbed By Unit Mass Of Feed/Energy Fed to Machine
Radius of Crushing Rolls
Go Radius of Crushing Rolls = (Maximum Diameter of Particle Nipped by Rolls-Half of Gap between Rolls)/0.04
Maximum Diameter of Particle Nipped by Rolls
Go Maximum Diameter of Particle Nipped by Rolls = 0.04*Radius of Crushing Rolls+Half of Gap between Rolls
Power Required by Machine for Size Reduction of Particles
Go Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine
Feed Rate to Machine for Size Reduction of Particles
Go Feed Rate to Machine = Power Required by Machine/Work Required for Reduction of Particles
Work required for Reduction of Particles
Go Work Required for Reduction of Particles = Power Required by Machine/Feed Rate to Machine
Reduction Ratio
Go Reduction Ratio = Feed Diameter/Product Diameter

19 Important Formulas in Size Reduction Laws Calculators

Half of Gaps between Rolls
Go Half of Gap between Rolls = ((cos(Half Angle of Nip))*(Radius of Feed+Radius of Crushing Rolls))-Radius of Crushing Rolls
Area of Product given Crushing Efficiency
Go Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed
Radius of Feed in Smooth Roll Crusher
Go Radius of Feed = (Radius of Crushing Rolls+Half of Gap between Rolls)/cos(Half Angle of Nip)-Radius of Crushing Rolls
Critical Speed of Conical Ball Mill
Go Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt( [g]/(Radius of Ball Mill-Radius of Ball))
Area of Feed given Crushing Efficiency
Go Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))
Projected Area of Solid Body
Go Projected Area of Solid Particle Body = 2*(Drag Force)/(Drag Coefficient*Density of Liquid*(Velocity of Liquid)^(2))
Energy Absorbed by Material while Crushing
Go Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency)
Crushing Efficiency
Go Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material
Radius of Ball Mill
Go Radius of Ball Mill = ([g]/(2*pi*Critical Speed of Conical Ball Mill)^2)+Radius of Ball
Terminal Settling Velocity of Single Particle
Go Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index
Power Consumption while Mill is Empty
Go Power Consumption While Mill is Empty = Power Consumption by Mill While Crushing-Power Consumption for Crushing Only
Power Consumption for Crushing only
Go Power Consumption for Crushing Only = Power Consumption by Mill While Crushing-Power Consumption While Mill is Empty
Mechanical Efficiency given Energy fed to System
Go Mechanical Efficiency in Terms of Energy Fed = Energy Absorbed By Unit Mass Of Feed/Energy Fed to Machine
Radius of Crushing Rolls
Go Radius of Crushing Rolls = (Maximum Diameter of Particle Nipped by Rolls-Half of Gap between Rolls)/0.04
Maximum Diameter of Particle Nipped by Rolls
Go Maximum Diameter of Particle Nipped by Rolls = 0.04*Radius of Crushing Rolls+Half of Gap between Rolls
Work required for Reduction of Particles
Go Work Required for Reduction of Particles = Power Required by Machine/Feed Rate to Machine
Product Diameter Based on Reduction Ratio
Go Product Diameter = Feed Diameter/Reduction Ratio
Feed Diameter based on Reduction Law
Go Feed Diameter = Reduction Ratio*Product Diameter
Reduction Ratio
Go Reduction Ratio = Feed Diameter/Product Diameter

Area of Feed given Crushing Efficiency Formula

Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))
Aa = Ab-((ηc*Wn)/(es))

What is Surface Energy?

Surface free energy or interfacial free energy or surface energy quantifies the disruption of intermolecular bonds that occurs when a surface is created. In the physics of solids, surfaces must be intrinsically less energetically favorable than the bulk of a material (the molecules on the surface have more energy compared with the molecules in the bulk of the material), otherwise there would be a driving force for surfaces to be created, removing the bulk of the material (see sublimation). The surface energy may therefore be defined as the excess energy at the surface of a material compared to the bulk, or it is the work required to build an area of a particular surface. Another way to view the surface energy is to relate it to the work required to cut a bulk sample, creating two surfaces. There is "excess energy" as a result of the now-incomplete, unrealized bonding at the two surfaces.

How to Calculate Area of Feed given Crushing Efficiency?

Area of Feed given Crushing Efficiency calculator uses Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area)) to calculate the Area of Feed, Area of Feed given Crushing Efficiency is a relation between the efficiency of a crushing apparatus and the area per unit mass that flows into the crusher as feed. Area of Feed is denoted by Aa symbol.

How to calculate Area of Feed given Crushing Efficiency using this online calculator? To use this online calculator for Area of Feed given Crushing Efficiency, enter Area of Product (Ab), Crushing Efficiency c), Energy Absorbed By Unit Mass Of Feed (Wn) & Surface Energy per Unit Area (es) and hit the calculate button. Here is how the Area of Feed given Crushing Efficiency calculation can be explained with given input values -> 99.54286 = 100-((0.4*20)/(17.5)).

FAQ

What is Area of Feed given Crushing Efficiency?
Area of Feed given Crushing Efficiency is a relation between the efficiency of a crushing apparatus and the area per unit mass that flows into the crusher as feed and is represented as Aa = Ab-((ηc*Wn)/(es)) or Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area)). Area Of Product is the area per unit mass of the milled material, Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid , Energy Absorbed By Unit Mass Of Feed is the amount of energy absorbed by the feed per unit mass & Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume.
How to calculate Area of Feed given Crushing Efficiency?
Area of Feed given Crushing Efficiency is a relation between the efficiency of a crushing apparatus and the area per unit mass that flows into the crusher as feed is calculated using Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area)). To calculate Area of Feed given Crushing Efficiency, you need Area of Product (Ab), Crushing Efficiency c), Energy Absorbed By Unit Mass Of Feed (Wn) & Surface Energy per Unit Area (es). With our tool, you need to enter the respective value for Area of Product, Crushing Efficiency, Energy Absorbed By Unit Mass Of Feed & Surface Energy per Unit Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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