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Top Diameter of Sprocket Wheel Formula

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

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

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

Top Diameter of Sprocket Wheel Example

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

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

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

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

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

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

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Top Diameter of Sprocket Wheel Formula Elements

Variables

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

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

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 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 Pitch Circle Diameter given Top Diameter of Sprocket Wheel

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

How to Evaluate Top Diameter of Sprocket Wheel?

Top Diameter of Sprocket Wheel evaluator uses Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))-2*Roller Radius of Chain to evaluate the Top Diameter of Sprocket Wheel, Top Diameter of Sprocket Wheel formula is defined as the maximum diameter of a sprocket wheel, which is a critical component in a chain drive system, and its accurate calculation is essential for the proper functioning of the system, ensuring efficient power transmission and minimizing wear and tear. Top Diameter of Sprocket Wheel is denoted by d_a symbol.

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

FAQs on Top Diameter of Sprocket Wheel

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

The formula of Top Diameter of Sprocket Wheel is expressed as Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))-2*Roller Radius of Chain. Here is an example- 139044.4 = 0.131+0.022*(1-(1.6/18))-2*0.005961.

How to calculate Top Diameter of Sprocket Wheel?

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

Can the Top Diameter of Sprocket Wheel be negative?

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

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

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 Top Diameter of Sprocket Wheel can be measured.

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Top Diameter of Sprocket Wheel Formula

Top Diameter of Sprocket Wheel Example

Top Diameter of Sprocket Wheel Solution

Top Diameter of Sprocket Wheel Formula Elements

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Top Diameter of Sprocket Wheel?

FAQs on Top Diameter of Sprocket Wheel

Variable Name