Roller Radius given Top Diameter of Sprocket Wheel Calculator

✖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.ⓘ Pitch Circle Diameter of Sprocket [D]			+10% -10%
✖Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.ⓘ Pitch of Chain [P]			+10% -10%
✖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.ⓘ Number of Teeth on Sprocket [z]			+10% -10%
✖Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel that engages with the chain in a geometric relationship.ⓘ Top Diameter of Sprocket Wheel [d_a]			+10% -10%

✖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.ⓘ Roller Radius given Top Diameter of Sprocket Wheel [R]

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Roller Radius given Top Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
R = (D+(P*(1-(1.6/z)))-d_a)/2
This formula uses 5 Variables

Variables Used

Roller Radius of Chain - (Measured in Meter) - 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.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - 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.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
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.
Top Diameter of Sprocket Wheel - (Measured in Meter) - Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel that engages with the chain in a geometric relationship.

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Sprocket: 167.3 Millimeter --> 0.1673 Meter (Check conversion here)
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Number of Teeth on Sprocket: 23 --> No Conversion Required
Top Diameter of Sprocket Wheel: 175.7 Millimeter --> 0.1757 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (D+(P*(1-(1.6/z)))-d_a)/2 --> (0.1673+(0.022*(1-(1.6/23)))-0.1757)/2

Evaluating ... ...

R = 0.00603478260869565

STEP 3: Convert Result to Output's Unit

0.00603478260869565 Meter -->6.03478260869565 Millimeter (Check conversion here)

FINAL ANSWER

6.03478260869565 ≈ 6.034783 Millimeter <-- Roller Radius of Chain

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Geometric Relationships for Chain » Roller Radius given Top Diameter of Sprocket Wheel

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Osmania University (OU), Hyderabad

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< Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter

LaTeX Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Circle Diameter

LaTeX Go Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)

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

LaTeX Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft

Velocity Ratio of Chain Drives

LaTeX Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Roller Radius given Top Diameter of Sprocket Wheel Formula

LaTeX Go

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
R = (D+(P*(1-(1.6/z)))-d_a)/2

What is a Sprocket Wheel?

A sprocket wheel is a circular component with teeth that engages with a chain or track in a mechanical system. It transmits rotational motion and force from one component to another, such as from a motor to a driven part. Sprocket wheels are used in various applications, including bicycles, motorcycles, and industrial machinery.

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

Roller Radius given Top Diameter of Sprocket Wheel calculator 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 calculate 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 calculate Roller Radius given Top Diameter of Sprocket Wheel using this online calculator? To use this online calculator 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. Here is how the Roller Radius given Top Diameter of Sprocket Wheel calculation can be explained with given input values -> 3354.783 = (0.1673+(0.022*(1-(1.6/23)))-0.1757)/2.

FAQ

What is Roller Radius given Top Diameter of Sprocket Wheel?

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 and is represented as R = (D+(P*(1-(1.6/z)))-d_a)/2 or 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. 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, Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length, 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 & Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel that engages with the chain in a geometric relationship.

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

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 is calculated using 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 calculate Roller Radius given Top Diameter of Sprocket Wheel, you need Pitch Circle Diameter of Sprocket (D), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Top Diameter of Sprocket Wheel (d_a). With our tool, you need to enter the respective value for Pitch Circle Diameter of Sprocket, Pitch of Chain, Number of Teeth on Sprocket & Top Diameter of Sprocket Wheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Roller Radius of Chain?

In this formula, Roller Radius of Chain uses Pitch Circle Diameter of Sprocket, Pitch of Chain, Number of Teeth on Sprocket & Top Diameter of Sprocket Wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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