FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Tooth Flank Radius Formula

Fx Copy

LaTeX Copy

Sprocket Tooth Flank Radius is the radius of the curved part of the sprocket tooth that comes into contact with the chain. Check FAQs

R e = 0.016 \cdot R \cdot ({(z)}^{2} + 180)

R_e - Sprocket Tooth Flank Radius?R - Roller Radius of Chain?z - Number of Teeth on Sprocket?

Tooth Flank Radius Example

With values

With units

Only example

Here is how the Tooth Flank Radius equation looks like with Values.

Here is how the Tooth Flank Radius equation looks like with Units.

Here is how the Tooth Flank Radius equation looks like.

48.0695 = 0.016 \cdot 5.961 \cdot ({(18)}^{2} + 180)

48.0695mm = 0.016 \cdot 5.961mm \cdot ({(18)}^{2} + 180)

48.0695 = 0.016 \cdot 5.961 \cdot ({(18)}^{2} + 180)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Tooth Flank Radius

Tooth Flank Radius Solution

Follow our step by step solution on how to calculate Tooth Flank Radius?

FIRST Step Consider the formula

R e = 0.016 \cdot R \cdot ({(z)}^{2} + 180)

Next Step Substitute values of Variables

∴

R e = 0.016 \cdot 5.961mm \cdot ({(18)}^{2} + 180)

Next Step Convert Units

∴

R e = 0.016 \cdot 0.006m \cdot ({(18)}^{2} + 180)

Next Step Prepare to Evaluate

∴

R e = 0.016 \cdot 0.006 \cdot ({(18)}^{2} + 180)

Next Step Evaluate

∴

R e = 0.048069504m

Next Step Convert to Output's Unit

∴

R e = 48.069504mm

LAST Step Rounding Answer

∴

R e = 48.0695mm

Tooth Flank Radius Formula Elements

Variables

Sprocket Tooth Flank Radius

Sprocket Tooth Flank Radius is the radius of the curved part of the sprocket tooth that comes into contact with the chain.

Symbol: R_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sprocket Tooth Flank Radius

Roller Radius of Chain

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.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius of Chain

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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

Other formulas in Proportions of the Sprocket Wheel category

Go Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

z = \frac{360}{α \cdot (\frac{180}{π})}

Go Pitch Circle Diameter given Pitch

D s = \frac{P}{\sin (\frac{3.035}{z})}

Go Top Diameter of Sprocket Wheel

d a = D s + P \cdot (1 - (\frac{1.6}{z})) - 2 \cdot R

How to Evaluate Tooth Flank Radius?

Tooth Flank Radius evaluator uses Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180) to evaluate 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 evaluate Tooth Flank Radius using this online evaluator? To use this online evaluator for Tooth Flank Radius, enter Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Tooth Flank Radius

What is the formula to find Tooth Flank Radius?

The formula of Tooth Flank Radius is expressed as Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180). Here is an example- 48384 = 0.016*0.005961*((18)^2+180).

How to calculate Tooth Flank Radius?

With Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) we can find Tooth Flank Radius using the formula - Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of Teeth on Sprocket)^2+180).

Can the Tooth Flank Radius be negative?

No, the Tooth Flank Radius, measured in Length cannot be negative.

Which unit is used to measure Tooth Flank Radius?

Tooth Flank Radius is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Tooth Flank Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Tooth Flank Radius Formula

Tooth Flank Radius Example

Tooth Flank Radius Solution

Tooth Flank Radius Formula Elements

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Tooth Flank Radius?

FAQs on Tooth Flank Radius

Variable Name