Number of Teeth given Maximum Tooth Height above Pitch Polygon Calculator

✖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.ⓘ Pitch of Chain [P]			+10% -10%
✖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.ⓘ Maximum Sprocket Tooth Height [ha_max]			+10% -10%
✖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.ⓘ Roller Radius of Chain [R]			+10% -10%

✖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.ⓘ Number of Teeth given Maximum Tooth Height above Pitch Polygon [z]

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Number of Teeth given Maximum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)
z = 0.8*P/(ha_max-0.625*P+R)
This formula uses 4 Variables

Variables Used

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.
Pitch of Chain - (Measured in Meter) - 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.
Maximum Sprocket Tooth Height - (Measured in Meter) - 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.
Roller Radius of Chain - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Maximum Sprocket Tooth Height: 8.76 Millimeter --> 0.00876 Meter (Check conversion here)
Roller Radius of Chain: 5.961 Millimeter --> 0.005961 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = 0.8*P/(ha_max-0.625*P+R) --> 0.8*0.022/(0.00876-0.625*0.022+0.005961)

Evaluating ... ...

z = 18.1256436663233

STEP 3: Convert Result to Output's Unit

18.1256436663233 --> No Conversion Required

FINAL ANSWER

18.1256436663233 ≈ 18.12564 <-- Number of Teeth on Sprocket

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

LaTeX Go 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

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Number of Teeth given Maximum Tooth Height above Pitch Polygon Formula

LaTeX Go

Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)
z = 0.8*P/(ha_max-0.625*P+R)

What is Maximum Tooth Height?

The maximum tooth height is the vertical distance from the base to the tip of a sprocket or gear tooth. This height is designed to ensure proper engagement with the chain or mating gear, providing enough contact to transmit force without causing interference or excessive wear. Proper maximum tooth height is crucial for efficient power transmission and the longevity of the system.

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

Number of Teeth given Maximum Tooth Height above Pitch Polygon calculator 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 calculate 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 calculate Number of Teeth given Maximum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator 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. Here is how the Number of Teeth given Maximum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 17.42574 = 0.8*0.022/(0.00876-0.625*0.022+0.005961).

FAQ

What is Number of Teeth given Maximum Tooth Height above Pitch Polygon?

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 and is represented as z = 0.8*P/(ha_max-0.625*P+R) or Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius 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, 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 & 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.

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

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 is calculated using Number of Teeth on Sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain). To calculate Number of Teeth given Maximum Tooth Height above Pitch Polygon, you need Pitch of Chain (P), Maximum Sprocket Tooth Height (ha_max) & Roller Radius of Chain (R). With our tool, you need to enter the respective value for Pitch of Chain, Maximum Sprocket Tooth Height & Roller Radius of Chain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Number of Teeth on Sprocket?

In this formula, Number of Teeth on Sprocket uses Pitch of Chain, Maximum Sprocket Tooth Height & Roller Radius of Chain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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