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Roller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Tooth Flank Radius 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{D + (P \cdot (1 - (\frac{1.6}{z}))) - d a}{2}

R - Roller Radius of Chain?D - Pitch Circle Diameter of Sprocket?P - Pitch of Chain?z - Number of Teeth on Sprocket?d_a - Top Diameter of Sprocket Wheel?

Roller Radius given Top Diameter of Sprocket Wheel Example

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Here is how the Roller Radius given Top Diameter of Sprocket Wheel equation looks like with Values.

Here is how the Roller Radius given Top Diameter of Sprocket Wheel equation looks like with Units.

Here is how the Roller Radius given Top Diameter of Sprocket Wheel equation looks like.

6.0348 = \frac{167.3 + (22 \cdot (1 - (\frac{1.6}{23}))) - 175.7}{2}

6.0348mm = \frac{167.3mm + (22mm \cdot (1 - (\frac{1.6}{23}))) - 175.7mm}{2}

6.0348 = \frac{167.3 + (22 \cdot (1 - (\frac{1.6}{23}))) - 175.7}{2}

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Roller Radius given Top Diameter of Sprocket Wheel Solution

Follow our step by step solution on how to calculate Roller Radius given Top Diameter of Sprocket Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = \frac{167.3mm + (22mm \cdot (1 - (\frac{1.6}{23}))) - 175.7mm}{2}

Next Step Convert Units

∴

R = \frac{0.1673m + (0.022m \cdot (1 - (\frac{1.6}{23}))) - 0.1757m}{2}

Next Step Prepare to Evaluate

∴

R = \frac{0.1673 + (0.022 \cdot (1 - (\frac{1.6}{23}))) - 0.1757}{2}

Next Step Evaluate

∴

R = 0.00603478260869565m

Next Step Convert to Output's Unit

∴

R = 6.03478260869565mm

LAST Step Rounding Answer

∴

R = 6.0348mm

Roller Radius given Top Diameter of Sprocket Wheel 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 Circle Diameter of Sprocket

Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Sprocket

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

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

Top Diameter of Sprocket Wheel

Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel that engages with the chain in a geometric relationship.

Symbol: d_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Top Diameter of Sprocket Wheel

Other Formulas to find Roller Radius of Chain

Go Roller Radius given Tooth Flank Radius

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

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 Top Diameter of Sprocket Wheel?

Roller Radius given Top Diameter of Sprocket Wheel evaluator uses 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 to evaluate the Roller Radius of Chain, Roller Radius given Top Diameter of Sprocket Wheel formula is defined as a measure of the radius of the roller in a sprocket wheel, which is essential in determining the overall size and functionality of the wheel in various mechanical systems, particularly in power transmission and conveyor belt applications. Roller Radius of Chain is denoted by R symbol.

How to evaluate Roller Radius given Top Diameter of Sprocket Wheel using this online evaluator? To use this online evaluator for Roller Radius given Top Diameter of Sprocket Wheel, enter Pitch Circle Diameter of Sprocket (D), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Top Diameter of Sprocket Wheel (d_a) and hit the calculate button.

FAQs on Roller Radius given Top Diameter of Sprocket Wheel

What is the formula to find Roller Radius given Top Diameter of Sprocket Wheel?

The formula of Roller Radius given Top Diameter of Sprocket Wheel is expressed as 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. Here is an example- 3354.783 = (0.1673+(0.022*(1-(1.6/23)))-0.1757)/2.

How to calculate Roller Radius given Top Diameter of Sprocket Wheel?

With Pitch Circle Diameter of Sprocket (D), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Top Diameter of Sprocket Wheel (d_a) we can find Roller Radius given Top Diameter of Sprocket Wheel using the formula - 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.

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=Sprocket Tooth Flank Radius/(0.016*((Number of Teeth on Sprocket)^2+180))
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 Top Diameter of Sprocket Wheel be negative?

No, the Roller Radius given Top Diameter of Sprocket Wheel, measured in Length cannot be negative.

Which unit is used to measure Roller Radius given Top Diameter of Sprocket Wheel?

Roller Radius given Top Diameter of Sprocket Wheel 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 Top Diameter of Sprocket Wheel can be measured.

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Roller Radius given Top Diameter of Sprocket Wheel Formula

​GoRoller Radius given Tooth Flank Radius Formula

​GoRoller Radius given Maximum Tooth Height above Pitch Polygon Formula

Roller Radius given Top Diameter of Sprocket Wheel Example

Roller Radius given Top Diameter of Sprocket Wheel Solution

Roller Radius given Top Diameter of Sprocket Wheel Formula Elements

Other Formulas to find Roller Radius of Chain

Other formulas in Geometric Relationships for Chain category

How to Evaluate Roller Radius given Top Diameter of Sprocket Wheel?

FAQs on Roller Radius given Top Diameter of Sprocket Wheel

Variable Name

GoRoller Radius given Tooth Flank Radius Formula

GoRoller Radius given Maximum Tooth Height above Pitch Polygon Formula