Tooth Flank Radius Calculator

✖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%

✖Sprocket Tooth Flank Radius is the radius of the curved part of the sprocket tooth that comes into contact with the chain.ⓘ Tooth Flank Radius [R_e]

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Tooth Flank Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180)
R_e = 0.016*R*((z)^2+180)
This formula uses 3 Variables

Variables Used

Sprocket Tooth Flank Radius - (Measured in Meter) - Sprocket Tooth Flank Radius is the radius of the curved part of the sprocket tooth that comes into contact with the chain.
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

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

R_e = 0.016*R*((z)^2+180) --> 0.016*0.005961*((18)^2+180)

Evaluating ... ...

R_e = 0.048069504

STEP 3: Convert Result to Output's Unit

0.048069504 Meter -->48.069504 Millimeter (Check conversion here)

FINAL ANSWER

48.069504 ≈ 48.0695 Millimeter <-- Sprocket Tooth Flank Radius

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

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

Tooth Flank Radius Formula

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

What is Tooth Flank Radius?

The tooth flank radius is the curvature radius of the side surface (flank) of a sprocket or gear tooth. It is important for ensuring smooth engagement between the sprocket or gear and the chain or meshing gear. Proper tooth flank radius helps reduce wear, prevent interference, and maintain efficient power transmission.

How to Calculate Tooth Flank Radius?

Tooth Flank Radius calculator uses Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180) to calculate the Sprocket Tooth Flank Radius, Tooth Flank Radius formula is defined as a measure of the radius of the flank of a tooth in a gear, which is a critical parameter in gear design that affects the smoothness of gear operation and the stress concentration on the gear teeth. Sprocket Tooth Flank Radius is denoted by R_e symbol.

How to calculate Tooth Flank Radius using this online calculator? To use this online calculator for Tooth Flank Radius, enter Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Tooth Flank Radius calculation can be explained with given input values -> 48384 = 0.016*0.005961*((18)^2+180).

FAQ

What is Tooth Flank Radius?

Tooth Flank Radius formula is defined as a measure of the radius of the flank of a tooth in a gear, which is a critical parameter in gear design that affects the smoothness of gear operation and the stress concentration on the gear teeth and is represented as R_e = 0.016*R*((z)^2+180) or Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180). 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 Tooth Flank Radius?

Tooth Flank Radius formula is defined as a measure of the radius of the flank of a tooth in a gear, which is a critical parameter in gear design that affects the smoothness of gear operation and the stress concentration on the gear teeth is calculated using Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180). To calculate Tooth Flank Radius, you need Roller Radius of Chain (R) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for 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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