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Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula

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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. Check FAQs

P = \frac{ha max,polygon}{0.625 - R + \frac{0.8}{z}}

P - Pitch of Chain?ha_max,polygon - Maximum Sprocket Tooth Height above Pitch Polygon?R - Roller Radius of Chain?z - Number of Teeth on Sprocket?

Chain Pitch given Maximum Tooth Height above Pitch Polygon Example

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Here is how the Chain Pitch given Maximum Tooth Height above Pitch Polygon equation looks like with Values.

Here is how the Chain Pitch given Maximum Tooth Height above Pitch Polygon equation looks like with Units.

Here is how the Chain Pitch given Maximum Tooth Height above Pitch Polygon equation looks like.

22.0051 = \frac{14.6}{0.625 - 5.961 + \frac{0.8}{18}}

22.0051mm = \frac{14.6mm}{0.625 - 5.961mm + \frac{0.8}{18}}

22.0051 = \frac{14.6}{0.625 - 5.961 + \frac{0.8}{18}}

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Chain Pitch given Maximum Tooth Height above Pitch Polygon Solution

Follow our step by step solution on how to calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon?

FIRST Step Consider the formula

P = \frac{ha max,polygon}{0.625 - R + \frac{0.8}{z}}

Next Step Substitute values of Variables

∴

P = \frac{14.6mm}{0.625 - 5.961mm + \frac{0.8}{18}}

Next Step Convert Units

∴

P = \frac{0.0146m}{0.625 - 0.006m + \frac{0.8}{18}}

Next Step Prepare to Evaluate

∴

P = \frac{0.0146}{0.625 - 0.006 + \frac{0.8}{18}}

Next Step Evaluate

∴

P = 0.0220050705443375m

Next Step Convert to Output's Unit

∴

P = 22.0050705443375mm

LAST Step Rounding Answer

∴

P = 22.0051mm

Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula Elements

Variables

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

Maximum Sprocket Tooth Height above Pitch Polygon

Maximum Sprocket Tooth Height above Pitch Polygon is the vertical distance from the pitch circle to the tooth tip. It defines how far the tooth extends above the pitch polygon.

Symbol: ha_max,polygon

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Sprocket Tooth Height above Pitch Polygon

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

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

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 Chain Pitch given Maximum Tooth Height above Pitch Polygon?

Chain Pitch given Maximum Tooth Height above Pitch Polygon evaluator uses Pitch of Chain = Maximum Sprocket Tooth Height above Pitch Polygon/(0.625-Roller Radius of Chain+0.8/Number of Teeth on Sprocket) to evaluate the Pitch of Chain, Chain Pitch given Maximum Tooth Height above Pitch Polygon formula is defined as a dimension that characterizes the tooth profile of a chain, providing a critical parameter for designing and manufacturing chains with optimal performance and durability. Pitch of Chain is denoted by P symbol.

How to evaluate Chain Pitch given Maximum Tooth Height above Pitch Polygon using this online evaluator? To use this online evaluator for Chain Pitch given Maximum Tooth Height above Pitch Polygon, enter Maximum Sprocket Tooth Height above Pitch Polygon (ha_max,polygon), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Chain Pitch given Maximum Tooth Height above Pitch Polygon

What is the formula to find Chain Pitch given Maximum Tooth Height above Pitch Polygon?

The formula of Chain Pitch given Maximum Tooth Height above Pitch Polygon is expressed as Pitch of Chain = Maximum Sprocket Tooth Height above Pitch Polygon/(0.625-Roller Radius of Chain+0.8/Number of Teeth on Sprocket). Here is an example- 22306.51 = 0.0146/(0.625-0.005961+0.8/18).

How to calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon?

With Maximum Sprocket Tooth Height above Pitch Polygon (ha_max,polygon), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) we can find Chain Pitch given Maximum Tooth Height above Pitch Polygon using the formula - Pitch of Chain = Maximum Sprocket Tooth Height above Pitch Polygon/(0.625-Roller Radius of Chain+0.8/Number of Teeth on Sprocket).

Can the Chain Pitch given Maximum Tooth Height above Pitch Polygon be negative?

No, the Chain Pitch given Maximum Tooth Height above Pitch Polygon, measured in Length cannot be negative.

Which unit is used to measure Chain Pitch given Maximum Tooth Height above Pitch Polygon?

Chain Pitch given Maximum Tooth Height above Pitch Polygon is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Chain Pitch given Maximum Tooth Height above Pitch Polygon can be measured.

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Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula

Chain Pitch given Maximum Tooth Height above Pitch Polygon Example

Chain Pitch given Maximum Tooth Height above Pitch Polygon Solution

Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula Elements

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Chain Pitch given Maximum Tooth Height above Pitch Polygon?

FAQs on Chain Pitch given Maximum Tooth Height above Pitch Polygon

Variable Name