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

GoRadius of Drum Brake given Braking Torque Formula

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The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference. Check FAQs

r = h \cdot \frac{2 \cdot θ w + \sin (2 \cdot θ w)}{4 \cdot \sin (θ w)}

r - Radius of Brake Drum?h - Distance From Center of Drum to Pivot?θ_w - Semi-Block Angle?

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

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Here is how the Radius of Drum given Distance from Center of Drum to Pivoted Shoe equation looks like with Values.

Here is how the Radius of Drum given Distance from Center of Drum to Pivoted Shoe equation looks like with Units.

Here is how the Radius of Drum given Distance from Center of Drum to Pivoted Shoe equation looks like.

236.2581 = 265 \cdot \frac{2 \cdot 0.87 + \sin (2 \cdot 0.87)}{4 \cdot \sin (0.87)}

236.2581mm = 265mm \cdot \frac{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)}{4 \cdot \sin (0.87rad)}

236.2581 = 265 \cdot \frac{2 \cdot 0.87 + \sin (2 \cdot 0.87)}{4 \cdot \sin (0.87)}

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

Follow our step by step solution on how to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

FIRST Step Consider the formula

r = h \cdot \frac{2 \cdot θ w + \sin (2 \cdot θ w)}{4 \cdot \sin (θ w)}

Next Step Substitute values of Variables

∴

r = 265mm \cdot \frac{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)}{4 \cdot \sin (0.87rad)}

Next Step Convert Units

∴

r = 0.265m \cdot \frac{2 \cdot 0.87rad + \sin (2 \cdot 0.87rad)}{4 \cdot \sin (0.87rad)}

Next Step Prepare to Evaluate

∴

r = 0.265 \cdot \frac{2 \cdot 0.87 + \sin (2 \cdot 0.87)}{4 \cdot \sin (0.87)}

Next Step Evaluate

∴

r = 0.23625809105253m

Next Step Convert to Output's Unit

∴

r = 236.25809105253mm

LAST Step Rounding Answer

∴

r = 236.2581mm

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

Variables

Functions

Radius of Brake Drum

The Radius of Brake Drum is any of the line segments from the brake drum's center to its circumference.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Brake Drum

Distance From Center of Drum to Pivot

Distance From Center of Drum to Pivot is the Distance from the center of the brake drum to the pivoted end.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance From Center of Drum to Pivot

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 Radius of Brake Drum

Go Radius of Drum Brake given Braking Torque

r = \frac{M f}{μ \cdot N}

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 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}

How to Evaluate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

Radius of Drum given Distance from Center of Drum to Pivoted Shoe evaluator uses 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)) to evaluate the Radius of Brake Drum, The Radius of Drum given Distance from Center of Drum to Pivoted Shoe formula is defined as radius of brake drum which we are using in pivoted block brake with long shoe. Radius of Brake Drum is denoted by r symbol.

How to evaluate Radius of Drum given Distance from Center of Drum to Pivoted Shoe using this online evaluator? To use this online evaluator for Radius of Drum given Distance from Center of Drum to Pivoted Shoe, enter Distance From Center of Drum to Pivot (h) & Semi-Block Angle (θ_w) and hit the calculate button.

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

What is the formula to find Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

The formula of Radius of Drum given Distance from Center of Drum to Pivoted Shoe is expressed as 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)). Here is an example- 236258.1 = 0.265*(2*0.87+sin(2*0.87))/(4*sin(0.87)).

How to calculate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

With Distance From Center of Drum to Pivot (h) & Semi-Block Angle (θ_w) we can find Radius of Drum given Distance from Center of Drum to Pivoted Shoe using the formula - 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)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Radius of Brake Drum?

Here are the different ways to Calculate Radius of Brake Drum-

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

Can the Radius of Drum given Distance from Center of Drum to Pivoted Shoe be negative?

No, the Radius of Drum given Distance from Center of Drum to Pivoted Shoe, measured in Length cannot be negative.

Which unit is used to measure Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

Radius of Drum given Distance from Center of Drum to Pivoted Shoe is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Drum given Distance from Center of Drum to Pivoted Shoe can be measured.

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

​GoRadius of Drum Brake given Braking Torque Formula

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

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

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

Other Formulas to find Radius of Brake Drum

Other formulas in Block Brake category

How to Evaluate Radius of Drum given Distance from Center of Drum to Pivoted Shoe?

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

Variable Name

GoRadius of Drum Brake given Braking Torque Formula