Product Diameter Based on Reduction Ratio Calculator

✖Feed Diameter is the diameter of particles in the feed.ⓘ Feed Diameter [D_f]			+10% -10%
✖Reduction Ratio is the ratio of diameter of feed to that of diameter of products.ⓘ Reduction Ratio [R_R]			+10% -10%

✖Product Diameter is the diameter of particles of product.ⓘ Product Diameter Based on Reduction Ratio [D_p]

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Formula

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Product Diameter Based on Reduction Ratio

Formula

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

Example

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

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Product Diameter Based on Reduction Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Feed Diameter: 18 Centimeter --> 0.18 Meter (Check conversion here)
Reduction Ratio: 3.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = D_f/R_R --> 0.18/3.6

Evaluating ... ...

D_p = 0.05

STEP 3: Convert Result to Output's Unit

0.05 Meter -->5 Centimeter (Check conversion here)

FINAL ANSWER

5 Centimeter <-- Product Diameter

(Calculation completed in 00.020 seconds)

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Created by Harsh Kadam

Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded

Harsh Kadam has created this Calculator and 50+ more calculators!

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 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

Product Diameter Based on Reduction Ratio Formula

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

What is Kick's Law?

Kick's Law is one of three main principles used to estimate the energy required for size reduction in processes like grinding, crushing, and milling. It states that: The energy required to produce analogous changes of configuration of geometrically similar bodies of equal technological state varies as the volumes or weights of these bodies. In simpler terms, the energy needed to break a material to a certain fraction of its original size is constant, regardless of its starting size.

How to Calculate Product Diameter Based on Reduction Ratio?

Product Diameter Based on Reduction Ratio calculator uses Product Diameter = Feed Diameter/Reduction Ratio to calculate the Product Diameter, The Product Diameter Based on Reduction Ratio is defined as the product of Feed diameter and Reduction ratio. Product Diameter is denoted by D_p symbol.

How to calculate Product Diameter Based on Reduction Ratio using this online calculator? To use this online calculator for Product Diameter Based on Reduction Ratio, enter Feed Diameter (D_f) & Reduction Ratio (R_R) and hit the calculate button. Here is how the Product Diameter Based on Reduction Ratio calculation can be explained with given input values -> 500 = 0.18/3.6.

FAQ

What is Product Diameter Based on Reduction Ratio?

The Product Diameter Based on Reduction Ratio is defined as the product of Feed diameter and Reduction ratio and is represented as D_p = D_f/R_R or Product Diameter = Feed Diameter/Reduction Ratio. Feed Diameter is the diameter of particles in the feed & Reduction Ratio is the ratio of diameter of feed to that of diameter of products.

How to calculate Product Diameter Based on Reduction Ratio?

The Product Diameter Based on Reduction Ratio is defined as the product of Feed diameter and Reduction ratio is calculated using Product Diameter = Feed Diameter/Reduction Ratio. To calculate Product Diameter Based on Reduction Ratio, you need Feed Diameter (D_f) & Reduction Ratio (R_R). With our tool, you need to enter the respective value for Feed Diameter & Reduction Ratio 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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