Power Required by Machine for Size Reduction of Particles Calculator

✖Work Required for Reduction of Particles is the amount of work the machine does to reduce the feed particles per unit mass.ⓘ Work Required for Reduction of Particles [W_R]			+10% -10%
✖Feed Rate to Machine is the rate of flow of feed into the machine .ⓘ Feed Rate to Machine [ṁ]			+10% -10%

✖Power Required by Machine is the power that is required by the machine to reduce the feed particles into desired dimensions.ⓘ Power Required by Machine for Size Reduction of Particles [P_M]

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Formula

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Power Required by Machine for Size Reduction of Particles

Formula

`"P"_{"M"} = "W"_{"R"}*"ṁ"`

Example

`"22.8W"="0.95J/kg"*"24kg/s"`

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Power Required by Machine for Size Reduction of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine
P_M = W_R*ṁ
This formula uses 3 Variables

Variables Used

Power Required by Machine - (Measured in Watt) - Power Required by Machine is the power that is required by the machine to reduce the feed particles into desired dimensions.
Work Required for Reduction of Particles - (Measured in Joule per Kilogram) - Work Required for Reduction of Particles is the amount of work the machine does to reduce the feed particles per unit mass.
Feed Rate to Machine - (Measured in Kilogram per Second) - Feed Rate to Machine is the rate of flow of feed into the machine .

STEP 1: Convert Input(s) to Base Unit

Work Required for Reduction of Particles: 0.95 Joule per Kilogram --> 0.95 Joule per Kilogram No Conversion Required
Feed Rate to Machine: 24 Kilogram per Second --> 24 Kilogram per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_M = W_R*ṁ --> 0.95*24

Evaluating ... ...

P_M = 22.8

STEP 3: Convert Result to Output's Unit

22.8 Watt --> No Conversion Required

FINAL ANSWER

22.8 Watt <-- Power Required by Machine

(Calculation completed in 00.004 seconds)

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Created by Harsh Kadam

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

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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

Power Required by Machine for Size Reduction of Particles Formula

Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine
P_M = W_R*ṁ

What is Kick's theory of size reduction?

The Kick's law states that the energy required to reduce the size of particles is proportional to the ratio of the initial size of a typical dimension (for example the diameter of the particles) to the final size of that dimension. This relation is derived directly form the elasticity theory of ideal brittle solids.

What is Size reduction?

Size reduction is a process in which the particle size of a solid is made smaller. The term size reduction is applied to ways in which particles of solids are cut or broken into smaller pieces. Size reduction is necessary if the starting material is too coarse, and the final product needs to be a fine powder.

How to Calculate Power Required by Machine for Size Reduction of Particles?

Power Required by Machine for Size Reduction of Particles calculator uses Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine to calculate the Power Required by Machine, The Power Required by Machine for Size Reduction of Particles is defined as the product of Work required for reduction of particles and the feed rate to machine. Power Required by Machine is denoted by P_M symbol.

How to calculate Power Required by Machine for Size Reduction of Particles using this online calculator? To use this online calculator for Power Required by Machine for Size Reduction of Particles, enter Work Required for Reduction of Particles (W_R) & Feed Rate to Machine (ṁ) and hit the calculate button. Here is how the Power Required by Machine for Size Reduction of Particles calculation can be explained with given input values -> 22.8 = 0.95*24.

FAQ

What is Power Required by Machine for Size Reduction of Particles?

The Power Required by Machine for Size Reduction of Particles is defined as the product of Work required for reduction of particles and the feed rate to machine and is represented as P_M = W_R*ṁ or Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine. Work Required for Reduction of Particles is the amount of work the machine does to reduce the feed particles per unit mass & Feed Rate to Machine is the rate of flow of feed into the machine .

How to calculate Power Required by Machine for Size Reduction of Particles?

The Power Required by Machine for Size Reduction of Particles is defined as the product of Work required for reduction of particles and the feed rate to machine is calculated using Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine. To calculate Power Required by Machine for Size Reduction of Particles, you need Work Required for Reduction of Particles (W_R) & Feed Rate to Machine (ṁ). With our tool, you need to enter the respective value for Work Required for Reduction of Particles & Feed Rate to Machine 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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