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Root Diameter of Sprocket Wheel Formula

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Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel. Check FAQs

D f = D s - 2 \cdot r i

D_f - Root Diameter of Sprocket Wheel?D_s - Sproket Diameter of Pitch Circle?r_i - Roller Seating Radius?

Root Diameter of Sprocket Wheel Example

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With units

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Here is how the Root Diameter of Sprocket Wheel equation looks like with Values.

Here is how the Root Diameter of Sprocket Wheel equation looks like with Units.

Here is how the Root Diameter of Sprocket Wheel equation looks like.

117 = 131 - 2 \cdot 7

117mm = 131mm - 2 \cdot 7mm

117 = 131 - 2 \cdot 7

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Root Diameter of Sprocket Wheel Solution

Follow our step by step solution on how to calculate Root Diameter of Sprocket Wheel?

FIRST Step Consider the formula

D f = D s - 2 \cdot r i

Next Step Substitute values of Variables

∴

D f = 131mm - 2 \cdot 7mm

Next Step Convert Units

∴

D f = 0.131m - 2 \cdot 0.007m

Next Step Prepare to Evaluate

∴

D f = 0.131 - 2 \cdot 0.007

Next Step Evaluate

∴

D f = 0.117m

LAST Step Convert to Output's Unit

∴

D f = 117mm

Root Diameter of Sprocket Wheel Formula Elements

Variables

Root Diameter of Sprocket Wheel

Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.

Symbol: D_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Root Diameter of Sprocket Wheel

Sproket Diameter of Pitch Circle

Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.

Symbol: D_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sproket Diameter of Pitch Circle

Roller Seating Radius

Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.

Symbol: r_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Seating Radius

Other formulas in Proportions of the Sprocket Wheel category

Go Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

z = \frac{360}{α \cdot (\frac{180}{π})}

Go Pitch Circle Diameter given Pitch

D s = \frac{P}{\sin (\frac{3.035}{z})}

Go Top Diameter of Sprocket Wheel

d a = D s + P \cdot (1 - (\frac{1.6}{z})) - 2 \cdot R

How to Evaluate Root Diameter of Sprocket Wheel?

Root Diameter of Sprocket Wheel evaluator uses Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius to evaluate the Root Diameter of Sprocket Wheel, Root Diameter of Sprocket Wheel formula is defined as the maximum diameter of a sprocket wheel, which is a critical parameter in designing and manufacturing sprockets, and is used to determine the size of the sprocket wheel that can fit into a specific space. Root Diameter of Sprocket Wheel is denoted by D_f symbol.

How to evaluate Root Diameter of Sprocket Wheel using this online evaluator? To use this online evaluator for Root Diameter of Sprocket Wheel, enter Sproket Diameter of Pitch Circle (D_s) & Roller Seating Radius (r_i) and hit the calculate button.

FAQs on Root Diameter of Sprocket Wheel

What is the formula to find Root Diameter of Sprocket Wheel?

The formula of Root Diameter of Sprocket Wheel is expressed as Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius. Here is an example- 117000 = 0.131-2*0.007.

How to calculate Root Diameter of Sprocket Wheel?

With Sproket Diameter of Pitch Circle (D_s) & Roller Seating Radius (r_i) we can find Root Diameter of Sprocket Wheel using the formula - Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius.

Can the Root Diameter of Sprocket Wheel be negative?

No, the Root Diameter of Sprocket Wheel, measured in Length cannot be negative.

Which unit is used to measure Root Diameter of Sprocket Wheel?

Root Diameter of Sprocket Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Root Diameter of Sprocket Wheel can be measured.

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Root Diameter of Sprocket Wheel Formula

Root Diameter of Sprocket Wheel Example

Root Diameter of Sprocket Wheel Solution

Root Diameter of Sprocket Wheel Formula Elements

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Root Diameter of Sprocket Wheel?

FAQs on Root Diameter of Sprocket Wheel

Variable Name