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Number of Teeth given Maximum Tooth Height above Pitch Polygon Formula

GoNumber of Teeth on Sprocket given Pitch Angle of Sprocket Formula

GoNumber of Teeth given Minimum Tooth Flank Radius Formula

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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. Check FAQs

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

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

Number of Teeth given Maximum Tooth Height above Pitch Polygon Example

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

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

Here is how the Number of Teeth given Maximum Tooth Height above Pitch Polygon equation looks like.

18.1256 = 0.8 \cdot \frac{22}{8.76 - 0.625 \cdot 22 + 5.961}

18.1256 = 0.8 \cdot \frac{22mm}{8.76mm - 0.625 \cdot 22mm + 5.961mm}

18.1256 = 0.8 \cdot \frac{22}{8.76 - 0.625 \cdot 22 + 5.961}

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Number of Teeth given Maximum Tooth Height above Pitch Polygon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

z = 0.8 \cdot \frac{22mm}{8.76mm - 0.625 \cdot 22mm + 5.961mm}

Next Step Convert Units

∴

z = 0.8 \cdot \frac{0.022m}{0.0088m - 0.625 \cdot 0.022m + 0.006m}

Next Step Prepare to Evaluate

∴

z = 0.8 \cdot \frac{0.022}{0.0088 - 0.625 \cdot 0.022 + 0.006}

Next Step Evaluate

∴

z = 18.1256436663233

LAST Step Rounding Answer

∴

z = 18.1256

Number of Teeth given Maximum Tooth Height above Pitch Polygon Formula Elements

Variables

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

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

Maximum Sprocket Tooth Height is the highest point of the tooth on the sprocket wheel, critical in determining the wheel's overall dimensions and functionality.

Symbol: ha_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Sprocket Tooth Height

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 Number of Teeth on Sprocket

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

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

Go Number of Teeth given Minimum Tooth Flank Radius

z = (\frac{re min}{0.24 \cdot R}) - 2

Go Number of Teeth given Maximum Roller Seating Angle

z = \frac{90}{120 - (α max \cdot \frac{180}{π})}

Go Number of Teeth given Minimum Roller Seating Angle

z = \frac{90}{140 - (α min \cdot \frac{180}{π})}

Other formulas in Proportions of the Sprocket Wheel category

Go Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

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

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 Number of Teeth given Maximum Tooth Height above Pitch Polygon?

Number of Teeth given Maximum Tooth Height above Pitch Polygon evaluator uses Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain) to evaluate the Number of Teeth on Sprocket, Number of Teeth given Maximum Tooth Height above Pitch Polygon formula is defined as a method to determine the number of teeth on a gear based on the maximum tooth height above the pitch polygon, providing a crucial parameter in gear design and manufacturing. Number of Teeth on Sprocket is denoted by z symbol.

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

FAQs on Number of Teeth given Maximum Tooth Height above Pitch Polygon

What is the formula to find Number of Teeth given Maximum Tooth Height above Pitch Polygon?

The formula of Number of Teeth given Maximum Tooth Height above Pitch Polygon is expressed as Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain). Here is an example- 17.42574 = 0.8*0.022/(0.00876-0.625*0.022+0.005961).

How to calculate Number of Teeth given Maximum Tooth Height above Pitch Polygon?

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

What are the other ways to Calculate Number of Teeth on Sprocket?

Here are the different ways to Calculate Number of Teeth on Sprocket-

Number of Teeth on Sprocket=360/(Pitch Angle of Sprocket*(180/pi))
Number of Teeth on Sprocket=(Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2
Number of Teeth on Sprocket=90/(120-(Maximum Roller Seating Angle*180/pi))

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: Value
: Unit

Number of Teeth given Maximum Tooth Height above Pitch Polygon Formula

​GoNumber of Teeth on Sprocket given Pitch Angle of Sprocket Formula

​GoNumber of Teeth given Minimum Tooth Flank Radius Formula

Number of Teeth given Maximum Tooth Height above Pitch Polygon Example

Number of Teeth given Maximum Tooth Height above Pitch Polygon Solution

Number of Teeth given Maximum Tooth Height above Pitch Polygon Formula Elements

Other Formulas to find Number of Teeth on Sprocket

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Number of Teeth given Maximum Tooth Height above Pitch Polygon?

FAQs on Number of Teeth given Maximum Tooth Height above Pitch Polygon

Variable Name

GoNumber of Teeth on Sprocket given Pitch Angle of Sprocket Formula

GoNumber of Teeth given Minimum Tooth Flank Radius Formula