Chain Pitch given Maximum Tooth Height above Pitch Polygon Calculator

✖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.ⓘ Maximum Sprocket Tooth Height above Pitch Polygon [ha_max,polygon]			+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 on Sprocket [z]			+10% -10%

✖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.ⓘ Chain Pitch given Maximum Tooth Height above Pitch Polygon [P]

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Chain Pitch given Maximum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 above Pitch Polygon - (Measured in Meter) - 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Sprocket Tooth Height above Pitch Polygon: 14.6 Millimeter --> 0.0146 Meter (Check conversion here)
Roller Radius of Chain: 5.961 Millimeter --> 0.005961 Meter (Check conversion here)
Number of Teeth on Sprocket: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ha_max,polygon/(0.625-R+0.8/z) --> 0.0146/(0.625-0.005961+0.8/18)

Evaluating ... ...

P = 0.0220050705443375

STEP 3: Convert Result to Output's Unit

0.0220050705443375 Meter -->22.0050705443375 Millimeter (Check conversion here)

FINAL ANSWER

22.0050705443375 ≈ 22.00507 Millimeter <-- Pitch of Chain

(Calculation completed in 00.004 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

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

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

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

Pitch Angle of Sprocket

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

Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula

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

What is a Sprocket?

A sprocket, sprocket-wheel, or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track, or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

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

Chain Pitch given Maximum Tooth Height above Pitch Polygon calculator 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 calculate 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 calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator 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. Here is how the Chain Pitch given Maximum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 22306.51 = 0.0146/(0.625-0.005961+0.8/18).

FAQ

What is Chain Pitch given Maximum Tooth Height above Pitch Polygon?

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

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

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

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