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Critical Speed of Conical Ball Mill Formula

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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. Check FAQs

N c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{[g]}{R - r}}

N_c - Critical Speed of Conical Ball Mill?R - Radius of Ball Mill?r - Radius of Ball?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Critical Speed of Conical Ball Mill Example

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Here is how the Critical Speed of Conical Ball Mill equation looks like with Values.

Here is how the Critical Speed of Conical Ball Mill equation looks like with Units.

Here is how the Critical Speed of Conical Ball Mill equation looks like.

4.3217 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066}{31.33 - 30}}

4.3217rev/s = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066m/s²}{31.33cm - 30cm}}

4.3217 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066}{31.33 - 30}}

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Critical Speed of Conical Ball Mill Solution

Follow our step by step solution on how to calculate Critical Speed of Conical Ball Mill?

FIRST Step Consider the formula

N c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{[g]}{R - r}}

Next Step Substitute values of Variables

∴

N c = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{[g]}{31.33cm - 30cm}}

Next Step Substitute values of Constants

∴

N c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066m/s²}{31.33cm - 30cm}}

Next Step Convert Units

∴

N c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066m/s²}{0.3133m - 0.3m}}

Next Step Prepare to Evaluate

∴

N c = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{9.8066}{0.3133 - 0.3}}

Next Step Evaluate

∴

N c = 4.32170032668266Hz

Next Step Convert to Output's Unit

∴

N c = 4.32170032668266rev/s

LAST Step Rounding Answer

∴

N c = 4.3217rev/s

Critical Speed of Conical Ball Mill Formula Elements

Variables

Constants

Functions

Critical Speed of Conical Ball Mill

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.

Symbol: N_c

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Critical Speed of Conical Ball Mill

Radius of Ball Mill

Radius of Ball Mill is the radius of the ball mill of interest.

Symbol: R

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Ball Mill

Radius of Ball

Radius of Ball is the radius of ball of interest.

Symbol: r

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Ball

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

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Go Crushing Efficiency

η c = \frac{e s \cdot (A b - A a)}{W h}

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W h = \frac{e s \cdot (A b - A a)}{η c}

How to Evaluate Critical Speed of Conical Ball Mill?

Critical Speed of Conical Ball Mill evaluator uses Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)) to evaluate 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 evaluate Critical Speed of Conical Ball Mill using this online evaluator? To use this online evaluator for Critical Speed of Conical Ball Mill, enter Radius of Ball Mill (R) & Radius of Ball (r) and hit the calculate button.

FAQs on Critical Speed of Conical Ball Mill

What is the formula to find Critical Speed of Conical Ball Mill?

The formula of Critical Speed of Conical Ball Mill is expressed as Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)). Here is an example- 4.3217 = 1/(2*pi)*sqrt([g]/(0.3133-0.3)).

How to calculate Critical Speed of Conical Ball Mill?

With Radius of Ball Mill (R) & Radius of Ball (r) we can find Critical Speed of Conical Ball Mill using the formula - Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt([g]/(Radius of Ball Mill-Radius of Ball)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Square Root (sqrt) function(s).

Can the Critical Speed of Conical Ball Mill be negative?

No, the Critical Speed of Conical Ball Mill, measured in Frequency cannot be negative.

Which unit is used to measure Critical Speed of Conical Ball Mill?

Critical Speed of Conical Ball Mill is usually measured using the Revolution per Second[rev/s] for Frequency. Hertz[rev/s], Petahertz[rev/s], Terahertz[rev/s] are the few other units in which Critical Speed of Conical Ball Mill can be measured.

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Critical Speed of Conical Ball Mill Formula

Critical Speed of Conical Ball Mill Example

Critical Speed of Conical Ball Mill Solution

Critical Speed of Conical Ball Mill Formula Elements

Other formulas in Size Reduction Equipment category

How to Evaluate Critical Speed of Conical Ball Mill?

FAQs on Critical Speed of Conical Ball Mill

Variable Name