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Roller Radius given Maximum Tooth Height above Pitch Polygon Formula

GoRoller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Tooth Flank Radius 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 = 0.625 \cdot P - ha max + 0.8 \cdot \frac{P}{z}

R - Roller Radius of Chain?P - Pitch of Chain?ha_max - Maximum Sprocket Tooth Height?z - Number of Teeth on Sprocket?

Roller Radius given Maximum Tooth Height above Pitch Polygon Example

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Here is how the Roller Radius given Maximum Tooth Height above Pitch Polygon equation looks like with Values.

Here is how the Roller Radius given Maximum Tooth Height above Pitch Polygon equation looks like with Units.

Here is how the Roller Radius given Maximum Tooth Height above Pitch Polygon equation looks like.

6.0002 = 0.625 \cdot 22 - 8.515 + 0.8 \cdot \frac{22}{23}

6.0002mm = 0.625 \cdot 22mm - 8.515mm + 0.8 \cdot \frac{22mm}{23}

6.0002 = 0.625 \cdot 22 - 8.515 + 0.8 \cdot \frac{22}{23}

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Roller Radius given Maximum Tooth Height above Pitch Polygon Solution

Follow our step by step solution on how to calculate Roller Radius given Maximum Tooth Height above Pitch Polygon?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 0.625 \cdot 22mm - 8.515mm + 0.8 \cdot \frac{22mm}{23}

Next Step Convert Units

∴

R = 0.625 \cdot 0.022m - 0.0085m + 0.8 \cdot \frac{0.022m}{23}

Next Step Prepare to Evaluate

∴

R = 0.625 \cdot 0.022 - 0.0085 + 0.8 \cdot \frac{0.022}{23}

Next Step Evaluate

∴

R = 0.00600021739130435m

Next Step Convert to Output's Unit

∴

R = 6.00021739130435mm

LAST Step Rounding Answer

∴

R = 6.0002mm

Roller Radius given Maximum Tooth Height above Pitch Polygon 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

Pitch of Chain

Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Chain

Maximum Sprocket Tooth Height

Maximum Sprocket Tooth Height is the maximum height of a tooth on a sprocket in a chain, affecting the chain's overall performance and durability.

Symbol: ha_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Sprocket Tooth Height

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 Tooth Flank Radius

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

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 Maximum Tooth Height above Pitch Polygon?

Roller Radius given Maximum Tooth Height above Pitch Polygon evaluator uses Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket to evaluate the Roller Radius of Chain, Roller Radius given Maximum Tooth Height above Pitch Polygon formula is defined as a parameter that characterizes the size of a roller in a gear system, providing a way to determine the radius of the roller based on the maximum tooth height above the pitch polygon and other relevant factors. Roller Radius of Chain is denoted by R symbol.

How to evaluate Roller Radius given Maximum Tooth Height above Pitch Polygon using this online evaluator? To use this online evaluator for Roller Radius given Maximum Tooth Height above Pitch Polygon, enter Pitch of Chain (P), Maximum Sprocket Tooth Height (ha_max) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Roller Radius given Maximum Tooth Height above Pitch Polygon

What is the formula to find Roller Radius given Maximum Tooth Height above Pitch Polygon?

The formula of Roller Radius given Maximum Tooth Height above Pitch Polygon is expressed as Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket. Here is an example- 6562.134 = 0.625*0.022-0.008515+0.8*0.022/23.

How to calculate Roller Radius given Maximum Tooth Height above Pitch Polygon?

With Pitch of Chain (P), Maximum Sprocket Tooth Height (ha_max) & Number of Teeth on Sprocket (z) we can find Roller Radius given Maximum Tooth Height above Pitch Polygon using the formula - Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket.

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=Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180))
Roller Radius of Chain=0.5*Pitch of Chain-Minimum Tooth Height

Can the Roller Radius given Maximum Tooth Height above Pitch Polygon be negative?

No, the Roller Radius given Maximum Tooth Height above Pitch Polygon, measured in Length cannot be negative.

Which unit is used to measure Roller Radius given Maximum Tooth Height above Pitch Polygon?

Roller Radius given Maximum Tooth Height above Pitch Polygon 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 Maximum Tooth Height above Pitch Polygon can be measured.

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Roller Radius given Maximum Tooth Height above Pitch Polygon Formula

​GoRoller Radius given Top Diameter of Sprocket Wheel Formula

​GoRoller Radius given Tooth Flank Radius Formula

Roller Radius given Maximum Tooth Height above Pitch Polygon Example

Roller Radius given Maximum Tooth Height above Pitch Polygon Solution

Roller Radius given Maximum Tooth Height above Pitch Polygon Formula Elements

Other Formulas to find Roller Radius of Chain

Other formulas in Geometric Relationships for Chain category

How to Evaluate Roller Radius given Maximum Tooth Height above Pitch Polygon?

FAQs on Roller Radius given Maximum Tooth Height above Pitch Polygon

Variable Name

GoRoller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Tooth Flank Radius Formula