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Actual Coefficient of Friction given Equivalent Coefficient of Friction Formula

GoCoefficient of Friction given Braking Torque Formula

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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. Check FAQs

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

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

Actual Coefficient of Friction given Equivalent Coefficient of Friction Example

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Here is how the Actual Coefficient of Friction given Equivalent Coefficient of Friction equation looks like with Values.

Here is how the Actual Coefficient of Friction given Equivalent Coefficient of Friction equation looks like with Units.

Here is how the Actual Coefficient of Friction given Equivalent Coefficient of Friction equation looks like.

0.3566 = \frac{0.4}{\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)}}

0.3566 = \frac{0.4}{\frac{4 \cdot \sin (0.87rad)}{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)}}

0.3566 = \frac{0.4}{\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)}}

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Actual Coefficient of Friction given Equivalent Coefficient of Friction Solution

Follow our step by step solution on how to calculate Actual Coefficient of Friction given Equivalent Coefficient of Friction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{0.4}{\frac{4 \cdot \sin (0.87rad)}{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)}}

Next Step Prepare to Evaluate

∴

μ = \frac{0.4}{\frac{4 \cdot \sin (0.87)}{2 \cdot 0.87 + \sin (2 \cdot 0.87)}}

Next Step Evaluate

∴

μ = 0.356615986494385

LAST Step Rounding Answer

∴

μ = 0.3566

Actual Coefficient of Friction given Equivalent Coefficient of Friction Formula Elements

Variables

Functions

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

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

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 to find Coefficient of Friction For Brake

Go Coefficient of Friction given Braking Torque

μ = \frac{M f}{N \cdot r}

Other formulas in Block Brake category

Go Equivalent Coefficient of Friction in Block Brake with Long Shoe

µ' = μ \cdot (\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 Radius of Drum Brake given Braking Torque

r = \frac{M f}{μ \cdot N}

Go Normal Reaction Force given Braking Torque

N = \frac{M f}{μ \cdot r}

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

Actual Coefficient of Friction given Equivalent Coefficient of Friction evaluator 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 evaluate 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 evaluate Actual Coefficient of Friction given Equivalent Coefficient of Friction using this online evaluator? To use this online evaluator 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.

FAQs on Actual Coefficient of Friction given Equivalent Coefficient of Friction

What is the formula to find Actual Coefficient of Friction given Equivalent Coefficient of Friction?

The formula of Actual Coefficient of Friction given Equivalent Coefficient of Friction is expressed as Coefficient of Friction For Brake = Equivalent Coefficient of Friction/((4*sin(Semi-Block Angle))/(2*Semi-Block Angle+sin(2*Semi-Block Angle))). Here is an example- 0.356616 = 0.4/((4*sin(0.87))/(2*0.87+sin(2*0.87))).

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

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

What are the other ways to Calculate Coefficient of Friction For Brake?

Here are the different ways to Calculate Coefficient of Friction For Brake-

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

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