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))
Nc = 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
Nc = 1/(2*pi)*sqrt([g]/(R-r)) --> 1/(2*pi)*sqrt([g]/(0.3133-0.3))
Evaluating ... ...
Nc = 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 00.006 seconds)

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​ LaTeX ​ Go Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball))
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​ LaTeX ​ Go Radius of Ball Mill = ([g]/(2*pi*Critical Speed of Conical Ball Mill)^2)+Radius of Ball

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Critical Speed of Conical Ball Mill Formula

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

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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 Nc 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 Nc = 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.
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