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Equivalent Coefficient of Friction in Block Brake with Long Shoe Formula

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Equivalent Coefficient of Friction is for a block brake with a long shoe. Check FAQs

µ' = μ \cdot (\frac{4 \cdot \sin (θ w)}{2 \cdot θ w + \sin (2 \cdot θ w)})

µ^' - Equivalent Coefficient of Friction?μ - Coefficient of Friction For Brake?θ_w - Semi-Block Angle?

Equivalent Coefficient of Friction in Block Brake with Long Shoe Example

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Here is how the Equivalent Coefficient of Friction in Block Brake with Long Shoe equation looks like with Values.

Here is how the Equivalent Coefficient of Friction in Block Brake with Long Shoe equation looks like with Units.

Here is how the Equivalent Coefficient of Friction in Block Brake with Long Shoe equation looks like.

0.3926 = 0.35 \cdot (\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)})

0.3926 = 0.35 \cdot (\frac{4 \cdot \sin (0.87rad)}{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)})

0.3926 = 0.35 \cdot (\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)})

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Equivalent Coefficient of Friction in Block Brake with Long Shoe Solution

Follow our step by step solution on how to calculate Equivalent Coefficient of Friction in Block Brake with Long Shoe?

FIRST Step Consider the formula

µ' = μ \cdot (\frac{4 \cdot \sin (θ w)}{2 \cdot θ w + \sin (2 \cdot θ w)})

Next Step Substitute values of Variables

∴

µ' = 0.35 \cdot (\frac{4 \cdot \sin (0.87rad)}{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)})

Next Step Prepare to Evaluate

∴

µ' = 0.35 \cdot (\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)})

Next Step Evaluate

∴

µ' = 0.392579147604209

LAST Step Rounding Answer

∴

µ' = 0.3926

Equivalent Coefficient of Friction in Block Brake with Long Shoe Formula Elements

Variables

Functions

Equivalent Coefficient of Friction

Equivalent Coefficient of Friction is for a block brake with a long shoe.

Symbol: µ^'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Equivalent Coefficient of Friction

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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction For Brake

Semi-Block Angle

Semi-Block Angle is one-half of the total angle of the contacting surface of the block with the drum.

Symbol: θ_w

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Semi-Block Angle

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.

Syntax: sin(Angle)

Other formulas in Block Brake category

Go Actual Coefficient of Friction given Equivalent Coefficient of Friction

μ = \frac{µ'}{\frac{4 \cdot \sin (θ w)}{2 \cdot θ w + \sin (2 \cdot θ w)}}

Go Braking Torque when Brakes are Applied

M f = μ \cdot N \cdot r

Go Coefficient of Friction given Braking Torque

μ = \frac{M f}{N \cdot r}

Go Radius of Drum Brake given Braking Torque

r = \frac{M f}{μ \cdot N}

How to Evaluate Equivalent Coefficient of Friction in Block Brake with Long Shoe?

Equivalent Coefficient of Friction in Block Brake with Long Shoe evaluator 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 evaluate 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 evaluate Equivalent Coefficient of Friction in Block Brake with Long Shoe using this online evaluator? To use this online evaluator for Equivalent Coefficient of Friction in Block Brake with Long Shoe, enter Coefficient of Friction For Brake (μ) & Semi-Block Angle (θ_w) and hit the calculate button.

FAQs on Equivalent Coefficient of Friction in Block Brake with Long Shoe

What is the formula to find Equivalent Coefficient of Friction in Block Brake with Long Shoe?

The formula of Equivalent Coefficient of Friction in Block Brake with Long Shoe is expressed as Equivalent Coefficient of Friction = Coefficient of Friction For Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). Here is an example- 0.392579 = 0.35*((4*sin(0.87))/(2*0.87+sin(2*0.87))).

How to calculate Equivalent Coefficient of Friction in Block Brake with Long Shoe?

With Coefficient of Friction For Brake (μ) & Semi-Block Angle (θ_w) we can find Equivalent Coefficient of Friction in Block Brake with Long Shoe using the formula - Equivalent Coefficient of Friction = Coefficient of Friction For Brake*((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). This formula also uses Sine function(s).

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