Roller Radius given Minimum Tooth Height above Pitch Polygon Calculator

✖Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.ⓘ Pitch of Chain [P]			+10% -10%
✖Minimum Tooth Height is the shortest distance from the top of a chain link to the bottom of the adjacent link in a chain drive system.ⓘ Minimum Tooth Height [ha_min]			+10% -10%

✖Roller Radius of Chain is the radius of the roller in a chain, which is a critical component in the geometric relationships for chain design.ⓘ Roller Radius given Minimum Tooth Height above Pitch Polygon [R]

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Roller Radius given Minimum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
R = 0.5*P-ha_min
This formula uses 3 Variables

Variables Used

Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain is the radius of the roller in a chain, which is a critical component in the geometric relationships for chain design.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
Minimum Tooth Height - (Measured in Meter) - Minimum Tooth Height is the shortest distance from the top of a chain link to the bottom of the adjacent link in a chain drive system.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Minimum Tooth Height: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 0.5*P-ha_min --> 0.5*0.022-0.005

Evaluating ... ...

R = 0.006

STEP 3: Convert Result to Output's Unit

0.006 Meter -->6 Millimeter (Check conversion here)

FINAL ANSWER

6 Millimeter <-- Roller Radius of Chain

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Geometric Relationships for Chain » Roller Radius given Minimum Tooth Height above Pitch Polygon

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Osmania University (OU), Hyderabad

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< Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter

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

Number of Teeth on Sprocket given Pitch Circle Diameter

LaTeX Go Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)

Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives

LaTeX Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft

Velocity Ratio of Chain Drives

LaTeX Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Roller Radius given Minimum Tooth Height above Pitch Polygon Formula

LaTeX Go

Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
R = 0.5*P-ha_min

What is Tooth Height?

Tooth height is the vertical distance from the base of a sprocket tooth to its tip. It is a critical dimension for ensuring proper engagement with the chain, affecting the fit and performance of the chain drive system. Proper tooth height helps maintain smooth operation and effective power transmission.

How to Calculate Roller Radius given Minimum Tooth Height above Pitch Polygon?

Roller Radius given Minimum Tooth Height above Pitch Polygon calculator uses Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height to calculate the Roller Radius of Chain, Roller Radius given Minimum Tooth Height above Pitch Polygon formula is defined as a method to determine the radius of a roller in a gear system, considering the minimum tooth height above the pitch polygon, which is essential in designing and manufacturing gears with precise dimensions and functionality. Roller Radius of Chain is denoted by R symbol.

How to calculate Roller Radius given Minimum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator for Roller Radius given Minimum Tooth Height above Pitch Polygon, enter Pitch of Chain (P) & Minimum Tooth Height (ha_min) and hit the calculate button. Here is how the Roller Radius given Minimum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 6425.835 = 0.5*0.022-0.005.

FAQ

What is Roller Radius given Minimum Tooth Height above Pitch Polygon?

Roller Radius given Minimum Tooth Height above Pitch Polygon formula is defined as a method to determine the radius of a roller in a gear system, considering the minimum tooth height above the pitch polygon, which is essential in designing and manufacturing gears with precise dimensions and functionality and is represented as R = 0.5*P-ha_min or Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height. Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length & Minimum Tooth Height is the shortest distance from the top of a chain link to the bottom of the adjacent link in a chain drive system.

How to calculate Roller Radius given Minimum Tooth Height above Pitch Polygon?

Roller Radius given Minimum Tooth Height above Pitch Polygon formula is defined as a method to determine the radius of a roller in a gear system, considering the minimum tooth height above the pitch polygon, which is essential in designing and manufacturing gears with precise dimensions and functionality is calculated using Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height. To calculate Roller Radius given Minimum Tooth Height above Pitch Polygon, you need Pitch of Chain (P) & Minimum Tooth Height (ha_min). With our tool, you need to enter the respective value for Pitch of Chain & Minimum Tooth Height 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 Roller Radius of Chain?

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

Roller Radius of Chain = (Pitch Circle Diameter of Sprocket+(Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket)))-Top Diameter of Sprocket Wheel)/2
Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180))
Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket

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