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Pitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

GoPitch Circle Diameter given Pitch Formula

GoPitch Circle Diameter given Root Diameter of Sprocket Wheel Formula

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

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

D_s - Sproket Diameter of Pitch Circle?d_a - Top Diameter of Sprocket Wheel?P - Pitch of Chain?z - Number of Teeth on Sprocket?R - Roller Radius of Chain?

Pitch Circle Diameter given Top Diameter of Sprocket Wheel Example

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Here is how the Pitch Circle Diameter given Top Diameter of Sprocket Wheel equation looks like with Values.

Here is how the Pitch Circle Diameter given Top Diameter of Sprocket Wheel equation looks like with Units.

Here is how the Pitch Circle Diameter given Top Diameter of Sprocket Wheel equation looks like.

131 = 139.1224 - 22 \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 5.961

131mm = 139.1224mm - 22mm \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 5.961mm

131 = 139.1224 - 22 \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 5.961

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Pitch Circle Diameter given Top Diameter of Sprocket Wheel Solution

Follow our step by step solution on how to calculate Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D s = 139.1224mm - 22mm \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 5.961mm

Next Step Convert Units

∴

D s = 0.1391m - 0.022m \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 0.006m

Next Step Prepare to Evaluate

∴

D s = 0.1391 - 0.022 \cdot (1 - (\frac{1.6}{18})) + 2 \cdot 0.006

Next Step Evaluate

∴

D s = 0.130999955555556m

Next Step Convert to Output's Unit

∴

D s = 130.999955555556mm

LAST Step Rounding Answer

∴

D s = 131mm

Pitch Circle Diameter given Top Diameter of Sprocket Wheel Formula Elements

Variables

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

Top Diameter of Sprocket Wheel

Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel, which is the distance across the wheel passing through its center.

Symbol: d_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Top Diameter of Sprocket Wheel

Pitch of Chain

Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Chain

Number of Teeth on Sprocket

Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

Roller Radius of Chain

Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius of Chain

Other Formulas to find Sproket Diameter of Pitch Circle

Go Pitch Circle Diameter given Pitch

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

Go Pitch Circle Diameter given Root Diameter of Sprocket Wheel

D s = D f + 2 \cdot r i

Go Pitch Circle Diameter given Average Velocity of Chain

D s = v \cdot \frac{60}{π \cdot N}

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 Top Diameter of Sprocket Wheel

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

Go Root Diameter of Sprocket Wheel

D f = D s - 2 \cdot r i

How to Evaluate Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

Pitch Circle Diameter given Top Diameter of Sprocket Wheel evaluator uses Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))+2*Roller Radius of Chain to evaluate the Sproket Diameter of Pitch Circle, Pitch Circle Diameter given Top Diameter of Sprocket Wheel formula is defined as a measure of the diameter of the circle passing through the centers of the chain wheel teeth, which is essential in designing and manufacturing sprockets and chain drives, ensuring proper meshing and smooth operation of the machinery. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to evaluate Pitch Circle Diameter given Top Diameter of Sprocket Wheel using this online evaluator? To use this online evaluator for Pitch Circle Diameter given Top Diameter of Sprocket Wheel, enter Top Diameter of Sprocket Wheel (d_a), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Roller Radius of Chain (R) and hit the calculate button.

FAQs on Pitch Circle Diameter given Top Diameter of Sprocket Wheel

What is the formula to find Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

The formula of Pitch Circle Diameter given Top Diameter of Sprocket Wheel is expressed as Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))+2*Roller Radius of Chain. Here is an example- 131078 = 0.1391224-0.022*(1-(1.6/18))+2*0.005961.

How to calculate Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

With Top Diameter of Sprocket Wheel (d_a), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Roller Radius of Chain (R) we can find Pitch Circle Diameter given Top Diameter of Sprocket Wheel using the formula - Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))+2*Roller Radius of Chain.

What are the other ways to Calculate Sproket Diameter of Pitch Circle?

Here are the different ways to Calculate Sproket Diameter of Pitch Circle-

Sproket Diameter of Pitch Circle=Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)
Sproket Diameter of Pitch Circle=Root Diameter of Sprocket Wheel+2*Roller Seating Radius
Sproket Diameter of Pitch Circle=Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)

Can the Pitch Circle Diameter given Top Diameter of Sprocket Wheel be negative?

No, the Pitch Circle Diameter given Top Diameter of Sprocket Wheel, measured in Length cannot be negative.

Which unit is used to measure Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

Pitch Circle Diameter given Top 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 Pitch Circle Diameter given Top Diameter of Sprocket Wheel can be measured.

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Pitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

​GoPitch Circle Diameter given Pitch Formula

​GoPitch Circle Diameter given Root Diameter of Sprocket Wheel Formula

Pitch Circle Diameter given Top Diameter of Sprocket Wheel Example

Pitch Circle Diameter given Top Diameter of Sprocket Wheel Solution

Pitch Circle Diameter given Top Diameter of Sprocket Wheel Formula Elements

Other Formulas to find Sproket Diameter of Pitch Circle

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Pitch Circle Diameter given Top Diameter of Sprocket Wheel?

FAQs on Pitch Circle Diameter given Top Diameter of Sprocket Wheel

Variable Name

GoPitch Circle Diameter given Pitch Formula

GoPitch Circle Diameter given Root Diameter of Sprocket Wheel Formula