Area of Product given Crushing Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed
Ab = ((ηc*Wh)/(es*L))+Aa
This formula uses 6 Variables
Variables Used
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 Material - (Measured in Joule) - Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed.
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.
Length - (Measured in Meter) - Length is the measurement that describes how long an object is.
Area of Feed - (Measured in Square Meter) - Area of Feed is the area per unit mass of the feed.
STEP 1: Convert Input(s) to Base Unit
Crushing Efficiency: 0.4 --> No Conversion Required
Energy Absorbed by Material: 22 Joule --> 22 Joule No Conversion Required
Surface Energy per Unit Area: 17.5 Joule per Cubic Meter --> 17.5 Joule per Cubic Meter No Conversion Required
Length: 11 Centimeter --> 0.11 Meter (Check conversion here)
Area of Feed: 99.54 Square Meter --> 99.54 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ab = ((ηc*Wh)/(es*L))+Aa --> ((0.4*22)/(17.5*0.11))+99.54
Evaluating ... ...
Ab = 104.111428571429
STEP 3: Convert Result to Output's Unit
104.111428571429 Square Meter --> No Conversion Required
FINAL ANSWER
104.111428571429 104.1114 Square Meter <-- Area of Product
(Calculation completed in 00.004 seconds)

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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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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 Product given Crushing Efficiency Formula

Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed
Ab = ((ηc*Wh)/(es*L))+Aa

What is End Runner Mill?

End Runner Mill is a size reduction equipment in which size reduction is done by crushing due to heavy weight of steel pestle. Shearing stress is also involved during movement of mortar and pestle.

How to Calculate Area of Product given Crushing Efficiency?

Area of Product given Crushing Efficiency calculator uses Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed to calculate the Area of Product, Area of Product given Crushing Efficiency is the area of the output particles that is reduced by the crusher. Area of Product is denoted by Ab symbol.

How to calculate Area of Product given Crushing Efficiency using this online calculator? To use this online calculator for Area of Product given Crushing Efficiency, enter Crushing Efficiency c), Energy Absorbed by Material (Wh), Surface Energy per Unit Area (es), Length (L) & Area of Feed (Aa) and hit the calculate button. Here is how the Area of Product given Crushing Efficiency calculation can be explained with given input values -> 104.1114 = ((0.4*22)/(17.5*0.11))+99.54.

FAQ

What is Area of Product given Crushing Efficiency?
Area of Product given Crushing Efficiency is the area of the output particles that is reduced by the crusher and is represented as Ab = ((ηc*Wh)/(es*L))+Aa or Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed. Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid , Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed, Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume, Length is the measurement that describes how long an object is & Area of Feed is the area per unit mass of the feed.
How to calculate Area of Product given Crushing Efficiency?
Area of Product given Crushing Efficiency is the area of the output particles that is reduced by the crusher is calculated using Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed. To calculate Area of Product given Crushing Efficiency, you need Crushing Efficiency c), Energy Absorbed by Material (Wh), Surface Energy per Unit Area (es), Length (L) & Area of Feed (Aa). With our tool, you need to enter the respective value for Crushing Efficiency, Energy Absorbed by Material, Surface Energy per Unit Area, Length & Area of Feed 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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