Reduction Ratio Calculator

✖Feed Diameter is the diameter of particles in the feed.ⓘ Feed Diameter [D_f]			+10% -10%
✖Product Diameter is the diameter of particles of product.ⓘ Product Diameter [D_p]			+10% -10%

✖Reduction Ratio is the ratio of diameter of feed to that of diameter of products.ⓘ Reduction Ratio [R_R]

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Formula

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Reduction Ratio

Formula

`"R"_{"R"} = "D"_{"f"}/"D"_{"p"}`

Example

`"3.6"="18cm"/"5cm"`

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Reduction Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduction Ratio = Feed Diameter/Product Diameter
R_R = D_f/D_p
This formula uses 3 Variables

Variables Used

Reduction Ratio - Reduction Ratio is the ratio of diameter of feed to that of diameter of products.
Feed Diameter - (Measured in Meter) - Feed Diameter is the diameter of particles in the feed.
Product Diameter - (Measured in Meter) - Product Diameter is the diameter of particles of product.

STEP 1: Convert Input(s) to Base Unit

Feed Diameter: 18 Centimeter --> 0.18 Meter (Check conversion here)
Product Diameter: 5 Centimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_R = D_f/D_p --> 0.18/0.05

Evaluating ... ...

R_R = 3.6

STEP 3: Convert Result to Output's Unit

3.6 --> No Conversion Required

FINAL ANSWER

3.6 <-- Reduction Ratio

(Calculation completed in 00.004 seconds)

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Created by Qazi Muneeb

NIT Srinagar (NIT SRI), Srinagar, Kashmir

Qazi Muneeb has created this Calculator and 25+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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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

Reduction Ratio Formula

Reduction Ratio = Feed Diameter/Product Diameter
R_R = D_f/D_p

What is Kick's Law?

The amount of energy required to crush a given quantity of material to a specified fraction of its original size is the same, regardless of the original size.

How to Calculate Reduction Ratio?

Reduction Ratio calculator uses Reduction Ratio = Feed Diameter/Product Diameter to calculate the Reduction Ratio, Reduction Ratio in Mechanical operation is the ratio of diameter of feed to that of diameter of products. It gives the efficiency of separation of particles. Reduction Ratio is denoted by R_R symbol.

How to calculate Reduction Ratio using this online calculator? To use this online calculator for Reduction Ratio, enter Feed Diameter (D_f) & Product Diameter (D_p) and hit the calculate button. Here is how the Reduction Ratio calculation can be explained with given input values -> 3.6 = 0.18/0.05.

FAQ

What is Reduction Ratio?

Reduction Ratio in Mechanical operation is the ratio of diameter of feed to that of diameter of products. It gives the efficiency of separation of particles and is represented as R_R = D_f/D_p or Reduction Ratio = Feed Diameter/Product Diameter. Feed Diameter is the diameter of particles in the feed & Product Diameter is the diameter of particles of product.

How to calculate Reduction Ratio?

Reduction Ratio in Mechanical operation is the ratio of diameter of feed to that of diameter of products. It gives the efficiency of separation of particles is calculated using Reduction Ratio = Feed Diameter/Product Diameter. To calculate Reduction Ratio, you need Feed Diameter (D_f) & Product Diameter (D_p). With our tool, you need to enter the respective value for Feed Diameter & Product Diameter 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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