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Minimum Tooth Flank Radius Formula

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Minimum Tooth Flank Radius is the smallest radius of the tooth flank of a sprocket wheel, which affects the wheel's overall strength and durability. Check FAQs

re min = 0.24 \cdot R \cdot (z + 2)

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

Minimum Tooth Flank Radius Example

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

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

Here is how the Minimum Tooth Flank Radius equation looks like.

28.6128 = 0.24 \cdot 5.961 \cdot (18 + 2)

28.6128mm = 0.24 \cdot 5.961mm \cdot (18 + 2)

28.6128 = 0.24 \cdot 5.961 \cdot (18 + 2)

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Minimum Tooth Flank Radius Solution

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

FIRST Step Consider the formula

re min = 0.24 \cdot R \cdot (z + 2)

Next Step Substitute values of Variables

∴

re min = 0.24 \cdot 5.961mm \cdot (18 + 2)

Next Step Convert Units

∴

re min = 0.24 \cdot 0.006m \cdot (18 + 2)

Next Step Prepare to Evaluate

∴

re min = 0.24 \cdot 0.006 \cdot (18 + 2)

Next Step Evaluate

∴

re min = 0.0286128m

LAST Step Convert to Output's Unit

∴

re min = 28.6128mm

Minimum Tooth Flank Radius Formula Elements

Variables

Minimum Tooth Flank Radius

Minimum Tooth Flank Radius is the smallest radius of the tooth flank of a sprocket wheel, which affects the wheel's overall strength and durability.

Symbol: re_min

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Minimum 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 Minimum Tooth Flank Radius?

Minimum Tooth Flank Radius evaluator uses Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2) to evaluate the Minimum Tooth Flank Radius, Minimum Tooth Flank Radius formula is defined as a measure of the smallest radius of curvature at the root fillet of a gear tooth, which is a critical parameter in gear design that affects the strength and durability of the gear. It is an important consideration in the design of gears for various mechanical systems. Minimum Tooth Flank Radius is denoted by re_min symbol.

How to evaluate Minimum Tooth Flank Radius using this online evaluator? To use this online evaluator for Minimum Tooth Flank Radius, enter Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Minimum Tooth Flank Radius

What is the formula to find Minimum Tooth Flank Radius?

The formula of Minimum Tooth Flank Radius is expressed as Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2). Here is an example- 28800 = 0.24*0.005961*(18+2).

How to calculate Minimum Tooth Flank Radius?

With Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) we can find Minimum Tooth Flank Radius using the formula - Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of Teeth on Sprocket+2).

Can the Minimum Tooth Flank Radius be negative?

Yes, the Minimum Tooth Flank Radius, measured in Length can be negative.

Which unit is used to measure Minimum Tooth Flank Radius?

Minimum 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 Minimum Tooth Flank Radius can be measured.

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