Material Characteristic using Angle of Friction Calculator

✖Material Characteristic give us the idea about how the metal performs when different forces are applied to them.ⓘ Material Characteristic using Angle of Friction [K_M]

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Material Characteristic using Angle of Friction

Formula

`"K"_{"M"} = (1-sin("Φ"))/(1+sin("Φ"))`

Example

`"0.42173"=(1-sin("24°"))/(1+sin("24°"))`

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Material Characteristic using Angle of Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))
K_M = (1-sin(Φ))/(1+sin(Φ))
This formula uses 1 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Material Characteristic - Material Characteristic give us the idea about how the metal performs when different forces are applied to them.
Angle of Friction - (Measured in Radian) - The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

STEP 1: Convert Input(s) to Base Unit

Angle of Friction: 24 Degree --> 0.41887902047856 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_M = (1-sin(Φ))/(1+sin(Φ)) --> (1-sin(0.41887902047856))/(1+sin(0.41887902047856))

Evaluating ... ...

K_M = 0.421730222102656

STEP 3: Convert Result to Output's Unit

0.421730222102656 --> No Conversion Required

FINAL ANSWER

0.421730222102656 ≈ 0.42173 <-- Material Characteristic

(Calculation completed in 00.004 seconds)

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Created by Qazi Muneeb

NIT Srinagar (NIT SRI), Srinagar, Kashmir

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National University of Judicial Science (NUJS), Kolkata

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< 3 Storage and Transportation Of Solids Calculators

Material Characteristic using Angle of Friction

Go Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))

Applied Pressure in Terms of Coefficient of Flowability for Solids

Go Applied Pressure = Normal Pressure/Coefficient of Flowability

Coefficient of Flowability of Solids

Go Coefficient of Flowability = Normal Pressure/Applied Pressure

< 21 Basic Formulas of Mechanical Operations Calculators

Sphericity of Cuboidal Particle

Go Sphericity of Cuboidal Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))

Sphericity of Cylindrical Particle

Go Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Projected Area of Solid Body

Go Projected Area of Solid Particle Body = 2*(Drag Force)/(Drag Coefficient*Density of Liquid*(Velocity of Liquid)^(2))

Total Surface Area of Particle using Spericity

Go Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)

Terminal Settling Velocity of Single Particle

Go Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index

Material Characteristic using Angle of Friction

Go Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))

Sphericity of Particle

Go Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)

Total Number of Particles in Mixture

Go Total Number of Particles in Mixture = Total Mass of Mixture/(Density Of Particle*Volume Of One Particle)

Energy Required to Crush Coarse Materials according to Bond's Law

Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Fraction of Cycle Time used for Cake Formation

Go Fraction of Cycle Time Used For Cake Formation = Time Required For Cake Formation/Total Cycle Time

Time Required for Cake Formation

Go Time Required For Cake Formation = Fraction of Cycle Time Used For Cake Formation*Total Cycle Time

Specific Surface Area of Mixture

Go Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

Applied Pressure in Terms of Coefficient of Flowability for Solids

Go Applied Pressure = Normal Pressure/Coefficient of Flowability

Coefficient of Flowability of Solids

Go Coefficient of Flowability = Normal Pressure/Applied Pressure

Surface Shape Factor

Go Surface Shape Factor = 1/Sphericity of Particle

Material Characteristic using Angle of Friction Formula

Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))
K_M = (1-sin(Φ))/(1+sin(Φ))

What is Rittinger’s Law?

The energy required for reduction in particle size of a solid is directly proportional to the increase in surface area. As noted by Ehmer, there is an inverse relationship between size and strength of particles: as particles get smaller, their strength increases.

How to Calculate Material Characteristic using Angle of Friction?

Material Characteristic using Angle of Friction calculator uses Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction)) to calculate the Material Characteristic, Material Characteristic using Angle of Friction gives us a relation between the material characteristics of the material and the angle of friction. Material Characteristic is denoted by K_M symbol.

How to calculate Material Characteristic using Angle of Friction using this online calculator? To use this online calculator for Material Characteristic using Angle of Friction, enter Angle of Friction (Φ) and hit the calculate button. Here is how the Material Characteristic using Angle of Friction calculation can be explained with given input values -> 0.42173 = (1-sin(0.41887902047856))/(1+sin(0.41887902047856)).

FAQ

What is Material Characteristic using Angle of Friction?

Material Characteristic using Angle of Friction gives us a relation between the material characteristics of the material and the angle of friction and is represented as K_M = (1-sin(Φ))/(1+sin(Φ)) or Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction)). The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

How to calculate Material Characteristic using Angle of Friction?

Material Characteristic using Angle of Friction gives us a relation between the material characteristics of the material and the angle of friction is calculated using Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction)). To calculate Material Characteristic using Angle of Friction, you need Angle of Friction (Φ). With our tool, you need to enter the respective value for Angle of Friction 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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