Actual Coefficient of Friction given Equivalent Coefficient of Friction Calculator

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✖The Equivalent Coefficient of Friction is for a block brake with a long shoe.ⓘ Equivalent Coefficient of Friction [µ^']			+10% -10%
✖Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.ⓘ Semi-Block Angle [θ_block]			+10% -10%

✖Coefficient of Friction for Brake is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it.ⓘ Actual Coefficient of Friction given Equivalent Coefficient of Friction [μ]

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Formula

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Actual Coefficient of Friction given Equivalent Coefficient of Friction

Formula

`"μ" = "µ"^{"'"}/((4*sin("θ"_{"block"}))/(2*"θ"_{"block"}+sin(2*"θ"_{"block"})))`

Example

`"0.356616"="0.4"/((4*sin("0.87rad"))/(2*"0.87rad"+sin(2*"0.87rad")))`

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Actual Coefficient of Friction given Equivalent Coefficient of Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
μ = µ^'/((4*sin(θ_block))/(2*θ_block+sin(2*θ_block)))
This formula uses 1 Functions, 3 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

Coefficient of Friction for Brake - Coefficient of Friction for Brake is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it.
Equivalent Coefficient of Friction - The Equivalent Coefficient of Friction is for a block brake with a long shoe.
Semi-Block Angle - (Measured in Radian) - Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

STEP 1: Convert Input(s) to Base Unit

Equivalent Coefficient of Friction: 0.4 --> No Conversion Required
Semi-Block Angle: 0.87 Radian --> 0.87 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = µ^'/((4*sin(θ_block))/(2*θ_block+sin(2*θ_block))) --> 0.4/((4*sin(0.87))/(2*0.87+sin(2*0.87)))

Evaluating ... ...

μ = 0.356615986494385

STEP 3: Convert Result to Output's Unit

0.356615986494385 --> No Conversion Required

FINAL ANSWER

0.356615986494385 ≈ 0.356616 <-- Coefficient of Friction for Brake

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< 12 Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction

Go Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))

Equivalent Coefficient of Friction in Block Brake with Long Shoe

Go Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))

Radius of Drum given Distance from Center of Drum to Pivoted Shoe

Go Radius of Brake Drum = Distance from Center of Drum to Pivot*(2*Semi-Block Angle+sin(2*Semi-Block Angle))/(4*sin(Semi-Block Angle))

Distance from Center of Drum to Pivoted Shoe

Go Distance from Center of Drum to Pivot = 4*Radius of Brake Drum*sin(Semi-Block Angle)/(2*Semi-Block Angle+sin(2*Semi-Block Angle))

Coefficient of Friction given Braking Torque

Go Coefficient of Friction for Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)

Normal Reaction Force given Braking Torque

Go Normal Reaction on Brake = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Radius of Brake Drum)

Radius of Drum Brake given Braking Torque

Go Radius of Brake Drum = Braking or Fixing Torque on Fixed Member/(Coefficient of Friction for Brake*Normal Reaction on Brake)

Braking Torque when Brakes are Applied

Go Braking or Fixing Torque on Fixed Member = Coefficient of Friction for Brake*Normal Reaction on Brake*Radius of Brake Drum

Width of Block given Normal Reaction Force

Go Width of Brake Block Shoe = Normal Reaction on Brake/(Pressure Between Block and Brake Drum*Length of Block of Brake)

Length of Block given Normal Reaction

Go Length of Block of Brake = Normal Reaction on Brake/(Width of Brake Block Shoe*Pressure Between Block and Brake Drum)

Permissible Pressure between Block and Brake Drum given Normal Reaction

Go Pressure Between Block and Brake Drum = Normal Reaction on Brake/Length of Block of Brake*Width of Brake Block Shoe

Normal Reaction Force

Go Normal Reaction on Brake = Pressure Between Block and Brake Drum*Length of Block of Brake*Width of Brake Block Shoe

Actual Coefficient of Friction given Equivalent Coefficient of Friction Formula

Define Coefficient of Friction?

Coefficient of friction, the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ).

How to Calculate Actual Coefficient of Friction given Equivalent Coefficient of Friction?

Actual Coefficient of Friction given Equivalent Coefficient of Friction calculator uses Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))) to calculate the Coefficient of Friction for Brake, The Actual Coefficient of Friction given Equivalent Coefficient of Friction formula is defined as the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. Coefficient of Friction for Brake is denoted by μ symbol.

How to calculate Actual Coefficient of Friction given Equivalent Coefficient of Friction using this online calculator? To use this online calculator for Actual Coefficient of Friction given Equivalent Coefficient of Friction, enter Equivalent Coefficient of Friction (µ^') & Semi-Block Angle (θ_block) and hit the calculate button. Here is how the Actual Coefficient of Friction given Equivalent Coefficient of Friction calculation can be explained with given input values -> 0.356616 = 0.4/((4*sin(0.87))/(2*0.87+sin(2*0.87))).

FAQ

What is Actual Coefficient of Friction given Equivalent Coefficient of Friction?

The Actual Coefficient of Friction given Equivalent Coefficient of Friction formula is defined as the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together and is represented as μ = µ^'/((4*sin(θ_block))/(2*θ_block+sin(2*θ_block))) or Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). The Equivalent Coefficient of Friction is for a block brake with a long shoe & Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

How to calculate Actual Coefficient of Friction given Equivalent Coefficient of Friction?

The Actual Coefficient of Friction given Equivalent Coefficient of Friction formula is defined as the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together is calculated using Coefficient of Friction for Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). To calculate Actual Coefficient of Friction given Equivalent Coefficient of Friction, you need Equivalent Coefficient of Friction (µ^') & Semi-Block Angle (θ_block). With our tool, you need to enter the respective value for Equivalent Coefficient of Friction & Semi-Block Angle 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 for Brake?

In this formula, Coefficient of Friction for Brake uses Equivalent Coefficient of Friction & Semi-Block Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Friction for Brake = Braking or Fixing Torque on Fixed Member/(Normal Reaction on Brake*Radius of Brake Drum)

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