Roller Radius given Minimum Tooth Flank Radius Calculator

✖Minimum Tooth Flank Radius is the radius of the smallest circle that can be inscribed within the tooth flank of a chain.ⓘ Minimum Tooth Flank Radius [re_min]			+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%

✖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 Minimum Tooth Flank Radius [R]

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Roller Radius given Minimum Tooth Flank Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24)
R = re_min/((z+2)*0.24)
This formula uses 3 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.
Minimum Tooth Flank Radius - (Measured in Meter) - Minimum Tooth Flank Radius is the radius of the smallest circle that can be inscribed within the tooth flank of a 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.

STEP 1: Convert Input(s) to Base Unit

Minimum Tooth Flank Radius: 36 Millimeter --> 0.036 Meter (Check conversion here)
Number of Teeth on Sprocket: 23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = re_min/((z+2)*0.24) --> 0.036/((23+2)*0.24)

Evaluating ... ...

R = 0.006

STEP 3: Convert Result to Output's Unit

0.006 Meter -->6 Millimeter (Check conversion here)

FINAL ANSWER

6 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 Minimum Tooth Flank Radius

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Osmania University (OU), Hyderabad

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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 Minimum Tooth Flank Radius Formula

LaTeX Go

Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24)
R = re_min/((z+2)*0.24)

What is Tooth Flank?

The tooth flank is the side surface of a sprocket tooth that comes into contact with the chain's roller or link. It is the part of the tooth that guides and supports the chain as it moves, and its shape is designed to ensure smooth engagement and efficient power transmission between the sprocket and the chain.

How to Calculate Roller Radius given Minimum Tooth Flank Radius?

Roller Radius given Minimum Tooth Flank Radius calculator uses Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24) to calculate the Roller Radius of Chain, Roller Radius given Minimum Tooth Flank Radius formula is defined as a measure of the radius of a roller in an involute gear tooth system, which is critical in determining the tooth's strength and durability, and is influenced by the minimum tooth flank radius and the number of teeth. Roller Radius of Chain is denoted by R symbol.

How to calculate Roller Radius given Minimum Tooth Flank Radius using this online calculator? To use this online calculator for Roller Radius given Minimum Tooth Flank Radius, enter Minimum Tooth Flank Radius (re_min) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Roller Radius given Minimum Tooth Flank Radius calculation can be explained with given input values -> 4166.667 = 0.036/((23+2)*0.24).

FAQ

What is Roller Radius given Minimum Tooth Flank Radius?

Roller Radius given Minimum Tooth Flank Radius formula is defined as a measure of the radius of a roller in an involute gear tooth system, which is critical in determining the tooth's strength and durability, and is influenced by the minimum tooth flank radius and the number of teeth and is represented as R = re_min/((z+2)*0.24) or Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24). Minimum Tooth Flank Radius is the radius of the smallest circle that can be inscribed within the tooth flank of a chain & 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.

How to calculate Roller Radius given Minimum Tooth Flank Radius?

Roller Radius given Minimum Tooth Flank Radius formula is defined as a measure of the radius of a roller in an involute gear tooth system, which is critical in determining the tooth's strength and durability, and is influenced by the minimum tooth flank radius and the number of teeth is calculated using Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24). To calculate Roller Radius given Minimum Tooth Flank Radius, you need Minimum Tooth Flank Radius (re_min) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Minimum Tooth Flank Radius & Number of Teeth on Sprocket 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 Minimum Tooth Flank Radius & Number of Teeth on Sprocket. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of Teeth on Sprocket

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