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Roller Radius given Tooth Flank Radius Formula

GoRoller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Maximum Tooth Height above Pitch Polygon Formula

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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. Check FAQs

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

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

Roller Radius given Tooth Flank Radius Example

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

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

Here is how the Roller Radius given Tooth Flank Radius equation looks like.

6.0005 = \frac{68.07}{0.016 \cdot ({(23)}^{2} + 180)}

6.0005mm = \frac{68.07mm}{0.016 \cdot ({(23)}^{2} + 180)}

6.0005 = \frac{68.07}{0.016 \cdot ({(23)}^{2} + 180)}

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Roller Radius given Tooth Flank Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = \frac{68.07mm}{0.016 \cdot ({(23)}^{2} + 180)}

Next Step Convert Units

∴

R = \frac{0.0681m}{0.016 \cdot ({(23)}^{2} + 180)}

Next Step Prepare to Evaluate

∴

R = \frac{0.0681}{0.016 \cdot ({(23)}^{2} + 180)}

Next Step Evaluate

∴

R = 0.00600052891396333m

Next Step Convert to Output's Unit

∴

R = 6.00052891396333mm

LAST Step Rounding Answer

∴

R = 6.0005mm

Roller Radius given Tooth Flank Radius Formula Elements

Variables

Roller Radius of Chain

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.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius of Chain

Sprocket Tooth Flank Radius

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.

Symbol: R_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sprocket Tooth Flank Radius

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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

Other Formulas to find Roller Radius of Chain

Go Roller Radius given Top Diameter of Sprocket Wheel

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

Go Roller Radius given Maximum Tooth Height above Pitch Polygon

R = 0.625 \cdot P - ha max + 0.8 \cdot \frac{P}{z}

Go Roller Radius given Minimum Tooth Height above Pitch Polygon

R = 0.5 \cdot P - ha min

Go Roller Radius given Minimum Roller Seating Radius

R = \frac{ri min}{2 \cdot 0.505}

Other formulas in Geometric Relationships for Chain category

Go Pitch of chain given Pitch Circle Diameter

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

Go Number of Teeth on Sprocket given Pitch Circle Diameter

z = 180 \cdot a \sin (\frac{P}{D})

Go Velocity Ratio of Chain Drives

i = \frac{N 1}{N 2}

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

N 1 = i \cdot N 2

How to Evaluate Roller Radius given Tooth Flank Radius?

Roller Radius given Tooth Flank Radius evaluator uses Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180)) to evaluate 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 evaluate Roller Radius given Tooth Flank Radius using this online evaluator? To use this online evaluator 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.

FAQs on Roller Radius given Tooth Flank Radius

What is the formula to find Roller Radius given Tooth Flank Radius?

The formula of Roller Radius given Tooth Flank Radius is expressed as Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180)). Here is an example- 3966.855 = 0.06807/(0.016*((23)^2+180)).

How to calculate Roller Radius given Tooth Flank Radius?

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

What are the other ways to Calculate Roller Radius of Chain?

Here are the different ways to Calculate Roller Radius of Chain-

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

Can the Roller Radius given Tooth Flank Radius be negative?

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

Which unit is used to measure Roller Radius given Tooth Flank Radius?

Roller Radius given 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 Roller Radius given Tooth Flank Radius can be measured.

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Roller Radius given Tooth Flank Radius Formula

​GoRoller Radius given Top Diameter of Sprocket Wheel Formula

​GoRoller Radius given Maximum Tooth Height above Pitch Polygon Formula

Roller Radius given Tooth Flank Radius Example

Roller Radius given Tooth Flank Radius Solution

Roller Radius given Tooth Flank Radius Formula Elements

Other Formulas to find Roller Radius of Chain

Other formulas in Geometric Relationships for Chain category

How to Evaluate Roller Radius given Tooth Flank Radius?

FAQs on Roller Radius given Tooth Flank Radius

Variable Name

GoRoller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Maximum Tooth Height above Pitch Polygon Formula