Critical Speed of Conical Ball Mill Calculator

✖Radius of Ball Mill is the radius of the ball mill of interest.ⓘ Radius of Ball Mill [R]			+10% -10%
✖Radius of Ball is the radius of ball of interest.ⓘ Radius of Ball [r]			+10% -10%

✖Critical Speed of Conical Ball Mill is the speed at which the centrifugal forces equal gravitational forces at the mill shell's inside surface and no balls will fall from its position onto the shell.ⓘ Critical Speed of Conical Ball Mill [N_c]

⎘ Copy

👎

Formula

✖

Critical Speed of Conical Ball Mill

Formula

`"N"_{"c"} = 1/(2*pi)*sqrt("[g]"/("R"-"r"))`

Example

`"4.3217rev/s"=1/(2*pi)*sqrt("[g]"/("31.33cm"-"30cm"))`

Calculator

LaTeX

Reset

👍

Download Mechanical Operations Formula PDF

Critical Speed of Conical Ball Mill Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball))
N_c = 1/(2*pi)*sqrt([g]/(R-r))
This formula uses 2 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Critical Speed of Conical Ball Mill - (Measured in Hertz) - Critical Speed of Conical Ball Mill is the speed at which the centrifugal forces equal gravitational forces at the mill shell's inside surface and no balls will fall from its position onto the shell.
Radius of Ball Mill - (Measured in Meter) - Radius of Ball Mill is the radius of the ball mill of interest.
Radius of Ball - (Measured in Meter) - Radius of Ball is the radius of ball of interest.

STEP 1: Convert Input(s) to Base Unit

Radius of Ball Mill: 31.33 Centimeter --> 0.3133 Meter (Check conversion here)
Radius of Ball: 30 Centimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_c = 1/(2*pi)*sqrt([g]/(R-r)) --> 1/(2*pi)*sqrt([g]/(0.3133-0.3))

Evaluating ... ...

N_c = 4.32170032668266

STEP 3: Convert Result to Output's Unit

4.32170032668266 Hertz -->4.32170032668266 Revolution per Second (Check conversion here)

FINAL ANSWER

4.32170032668266 ≈ 4.3217 Revolution per Second <-- Critical Speed of Conical Ball Mill

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mechanical Operations » Size Reduction Laws » Size Reduction Equipment » Critical Speed of Conical Ball Mill

Credits

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

Soupayan banerjee has verified this Calculator and 800+ more calculators!

< 4 Size Reduction Equipment 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

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))

Radius of Ball Mill

Go Radius of Ball Mill = ([g]/(2*pi*Critical Speed of Conical Ball Mill)^2)+Radius of Ball

< 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

Critical Speed of Conical Ball Mill Formula

Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball))
N_c = 1/(2*pi)*sqrt([g]/(R-r))

What are Grinders ?

A grinding machine or grinder is an industrial power tool that uses an abrasive wheel for cutting or removing the material. It is a process of metal cutting by using a rotating abrasive wheel from the surface of the workpiece.

How to Calculate Critical Speed of Conical Ball Mill?

Critical Speed of Conical Ball Mill calculator uses Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)) to calculate the Critical Speed of Conical Ball Mill, Critical Speed of Conical Ball Mill is defined as the minimum speed at which centrifuging occurs , if the practical mill is to be operated then the operating speed must be lower than the critical speed. Critical Speed of Conical Ball Mill is denoted by N_c symbol.

How to calculate Critical Speed of Conical Ball Mill using this online calculator? To use this online calculator for Critical Speed of Conical Ball Mill, enter Radius of Ball Mill (R) & Radius of Ball (r) and hit the calculate button. Here is how the Critical Speed of Conical Ball Mill calculation can be explained with given input values -> 4.3217 = 1/(2*pi)*sqrt([g]/(0.3133-0.3)).

FAQ

What is Critical Speed of Conical Ball Mill?

Critical Speed of Conical Ball Mill is defined as the minimum speed at which centrifuging occurs , if the practical mill is to be operated then the operating speed must be lower than the critical speed and is represented as N_c = 1/(2*pi)*sqrt([g]/(R-r)) or Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)). Radius of Ball Mill is the radius of the ball mill of interest & Radius of Ball is the radius of ball of interest.

How to calculate Critical Speed of Conical Ball Mill?

Critical Speed of Conical Ball Mill is defined as the minimum speed at which centrifuging occurs , if the practical mill is to be operated then the operating speed must be lower than the critical speed is calculated using Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)). To calculate Critical Speed of Conical Ball Mill, you need Radius of Ball Mill (R) & Radius of Ball (r). With our tool, you need to enter the respective value for Radius of Ball Mill & Radius of Ball and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search