Actual Coefficient of Friction given Equivalent Coefficient of Friction Calculator

✖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_w]			+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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF PDF Image

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_w))/(2*θ_w+sin(2*θ_w)))
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 - 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_w))/(2*θ_w+sin(2*θ_w))) --> 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 00.004 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Brakes » Mechanical » Block Brake » Actual Coefficient of Friction given Equivalent Coefficient of Friction

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Block Brake Calculators

Actual Coefficient of Friction given Equivalent Coefficient of Friction

LaTeX 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

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

Coefficient of Friction given Braking Torque

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

Braking Torque when Brakes are Applied

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

Actual Coefficient of Friction given Equivalent Coefficient of Friction Formula

LaTeX Go

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_w))/(2*θ_w+sin(2*θ_w)))

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_w) 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_w))/(2*θ_w+sin(2*θ_w))) or 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 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_w). 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)

Home

FREE PDFs

🔍 Search