Equivalent Coefficient of Friction in Block Brake with Long Shoe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle)))
µ' = μ*((4*sin(θblock))/(2*θblock+sin(2*θblock)))
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
Equivalent Coefficient of Friction - The Equivalent Coefficient of Friction is for a block brake with a long shoe.
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.
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
Coefficient of Friction for Brake: 0.35 --> 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(θblock))/(2*θblock+sin(2*θblock))) --> 0.35*((4*sin(0.87))/(2*0.87+sin(2*0.87)))
Evaluating ... ...
µ' = 0.392579147604209
STEP 3: Convert Result to Output's Unit
0.392579147604209 --> No Conversion Required
FINAL ANSWER
0.392579147604209 0.392579 <-- Equivalent Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Equivalent Coefficient of Friction in Block Brake with Long Shoe Formula

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

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 Equivalent Coefficient of Friction in Block Brake with Long Shoe?

Equivalent Coefficient of Friction in Block Brake with Long Shoe calculator uses Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))) to calculate the Equivalent Coefficient of Friction, The Equivalent Coefficient of Friction in Block Brake with Long Shoe 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. Equivalent Coefficient of Friction is denoted by µ' symbol.

How to calculate Equivalent Coefficient of Friction in Block Brake with Long Shoe using this online calculator? To use this online calculator for Equivalent Coefficient of Friction in Block Brake with Long Shoe, enter Coefficient of Friction for Brake (μ) & Semi-Block Angle block) and hit the calculate button. Here is how the Equivalent Coefficient of Friction in Block Brake with Long Shoe calculation can be explained with given input values -> 0.392579 = 0.35*((4*sin(0.87))/(2*0.87+sin(2*0.87))).

FAQ

What is Equivalent Coefficient of Friction in Block Brake with Long Shoe?
The Equivalent Coefficient of Friction in Block Brake with Long Shoe 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(θblock))/(2*θblock+sin(2*θblock))) or 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 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 & Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.
How to calculate Equivalent Coefficient of Friction in Block Brake with Long Shoe?
The Equivalent Coefficient of Friction in Block Brake with Long Shoe 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 Equivalent Coefficient of Friction = Coefficient of Friction for Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). To calculate Equivalent Coefficient of Friction in Block Brake with Long Shoe, you need Coefficient of Friction for Brake (μ) & Semi-Block Angle block). With our tool, you need to enter the respective value for Coefficient of Friction for Brake & Semi-Block Angle 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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