Coefficient of friction for given friction angle Calculator

✖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.ⓘ Angle of Friction [β_o]

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✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of friction for given friction angle [μ]

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Formula

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Coefficient of friction for given friction angle

Formula

`"μ" = tan("β"_{"o"})`

Example

`"0.400093"=tan("21.806°")`

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Coefficient of friction for given friction angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction = tan(Angle of Friction)
μ = tan(β_o)
This formula uses 1 Functions, 2 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
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: 21.806 Degree --> 0.380586496689812 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = tan(β_o) --> tan(0.380586496689812)

Evaluating ... ...

μ = 0.400092941688617

STEP 3: Convert Result to Output's Unit

0.400092941688617 --> No Conversion Required

FINAL ANSWER

0.400092941688617 ≈ 0.400093 <-- Coefficient of Friction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Forces and Friction » Coefficient of friction for given friction angle

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 6 Forces and Friction Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle

Go Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

Go Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

Go Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining

Shear force acting on shear plane for given shear stress and area of shear plane

Go Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane

Coefficient of Friction given Forces Normal and along Tool Rake Face

Go Coefficient of Friction = Force of Friction/Normal Force on Workpiece

Coefficient of friction for given friction angle

Go Coefficient of Friction = tan(Angle of Friction)

Coefficient of friction for given friction angle Formula

Coefficient of Friction = tan(Angle of Friction)
μ = tan(β_o)

Calculator for coefficient of friction

Tangent of the angle of friction is known as co-efficient of friction, Merchant’s Circle Diagram (MCD) is valid only for orthogonal cutting, By the ratio, F/N, the MCD gives apparent (not actual) coefficient of friction

How to Calculate Coefficient of friction for given friction angle?

Coefficient of friction for given friction angle calculator uses Coefficient of Friction = tan(Angle of Friction) to calculate the Coefficient of Friction, The Coefficient of friction for given friction angle formula is defined as the Tangent of the angle of friction. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of friction for given friction angle using this online calculator? To use this online calculator for Coefficient of friction for given friction angle, enter Angle of Friction (β_o) and hit the calculate button. Here is how the Coefficient of friction for given friction angle calculation can be explained with given input values -> 0.445229 = tan(0.380586496689812).

FAQ

What is Coefficient of friction for given friction angle?

The Coefficient of friction for given friction angle formula is defined as the Tangent of the angle of friction and is represented as μ = tan(β_o) or Coefficient of Friction = tan(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 Coefficient of friction for given friction angle?

The Coefficient of friction for given friction angle formula is defined as the Tangent of the angle of friction is calculated using Coefficient of Friction = tan(Angle of Friction). To calculate Coefficient of friction for given friction angle, you need Angle of Friction (β_o). 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.

How many ways are there to calculate Coefficient of Friction?

In this formula, Coefficient of Friction uses Angle of Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))
Coefficient of Friction = Force of Friction/Normal Force on Workpiece

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