Roller Radius given Tooth Flank Radius Calculator

✖Sprocket Tooth Flank Radius is the distance from the axis of rotation to the point where the sprocket tooth meets the chain, defining the chain's path.ⓘ Sprocket Tooth Flank Radius [R_e]			+10% -10%
✖Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.ⓘ Number of Teeth on Sprocket [z]			+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 Tooth Flank Radius [R]

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Roller Radius given Tooth Flank Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180))
R = R_e/(0.016*((z)^2+180))
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.
Sprocket Tooth Flank Radius - (Measured in Meter) - Sprocket Tooth Flank Radius is the distance from the axis of rotation to the point where the sprocket tooth meets the chain, defining the chain's path.
Number of Teeth on Sprocket - Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.

STEP 1: Convert Input(s) to Base Unit

Sprocket Tooth Flank Radius: 68.07 Millimeter --> 0.06807 Meter (Check conversion here)
Number of Teeth on Sprocket: 23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = R_e/(0.016*((z)^2+180)) --> 0.06807/(0.016*((23)^2+180))

Evaluating ... ...

R = 0.00600052891396333

STEP 3: Convert Result to Output's Unit

0.00600052891396333 Meter -->6.00052891396333 Millimeter (Check conversion here)

FINAL ANSWER

6.00052891396333 ≈ 6.000529 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 Tooth Flank Radius

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Osmania University (OU), Hyderabad

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Number of Teeth on Sprocket given Pitch Circle Diameter

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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 Tooth Flank Radius Formula

LaTeX Go

Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180))
R = R_e/(0.016*((z)^2+180))

What is Tooth Flank Radius?

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 Tooth Flank Radius?

Roller Radius given Tooth Flank Radius calculator uses Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180)) to calculate the Roller Radius of Chain, Roller Radius given Tooth Flank Radius formula is defined as a measure of the radius of the roller in a gear system, which is critical in determining the overall performance and efficiency of the system, particularly in relation to the tooth flank radius and other gear parameters. Roller Radius of Chain is denoted by R symbol.

How to calculate Roller Radius given Tooth Flank Radius using this online calculator? To use this online calculator for Roller Radius given Tooth Flank Radius, enter Sprocket Tooth Flank Radius (R_e) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Roller Radius given Tooth Flank Radius calculation can be explained with given input values -> 3966.855 = 0.06807/(0.016*((23)^2+180)).

FAQ

What is Roller Radius given Tooth Flank Radius?

Roller Radius given Tooth Flank Radius formula is defined as a measure of the radius of the roller in a gear system, which is critical in determining the overall performance and efficiency of the system, particularly in relation to the tooth flank radius and other gear parameters and is represented as R = R_e/(0.016*((z)^2+180)) or Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180)). Sprocket Tooth Flank Radius is the distance from the axis of rotation to the point where the sprocket tooth meets the chain, defining the chain's path & Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.

How to calculate Roller Radius given Tooth Flank Radius?

Roller Radius given Tooth Flank Radius formula is defined as a measure of the radius of the roller in a gear system, which is critical in determining the overall performance and efficiency of the system, particularly in relation to the tooth flank radius and other gear parameters is calculated using Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180)). To calculate Roller Radius given Tooth Flank Radius, you need Sprocket Tooth Flank Radius (R_e) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Sprocket Tooth Flank Radius & 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.

How many ways are there to calculate Roller Radius of Chain?

In this formula, Roller Radius of Chain uses Sprocket Tooth Flank Radius & Number of Teeth on Sprocket. 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 = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket
Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height

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