Roller Radius given Minimum Tooth Flank Radius Calculator

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Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

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Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

Proportions of the Sprocket Wheel

✖Minimum Tooth Flank Radius is the minimum required radius of curvature of the flanks of a sprocket tooth.ⓘ Minimum Tooth Flank Radius [re_min]			+10% -10%
✖Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).ⓘ Number of teeth on sprocket [z]			+10% -10%

✖Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.ⓘ Roller Radius given Minimum Tooth Flank Radius [R]

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Formula

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Roller Radius given Minimum Tooth Flank Radius

Formula

`"R" = "re"_{"min"}/(("z"+2)*0.24)`

Example

`"4.166667mm"="25mm"/(("23"+2)*0.24)`

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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 distance between the center and the point on the circumference of the roller of a chain.
Minimum Tooth Flank Radius - (Measured in Meter) - Minimum Tooth Flank Radius is the minimum required radius of curvature of the flanks of a sprocket tooth.
Number of teeth on sprocket - Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).

STEP 1: Convert Input(s) to Base Unit

Minimum Tooth Flank Radius: 25 Millimeter --> 0.025 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) --> 0.025/((23+2)*0.24)

Evaluating ... ...

R = 0.00416666666666667

STEP 3: Convert Result to Output's Unit

0.00416666666666667 Meter -->4.16666666666667 Millimeter (Check conversion here)

FINAL ANSWER

4.16666666666667 ≈ 4.166667 Millimeter <-- Roller Radius of Chain

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 23 Geometric Relationships for Chain Calculators

Number of Links in Chain

Go Number of links in chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2

Roller Radius given Top Diameter of Sprocket Wheel

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

Roller Radius given Maximum Tooth Height above Pitch Polygon

Go Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket

Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity

Go Number of teeth on sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of chain drive shaft in rpm)

Pitch of chain given Average Chain Velocity

Go Pitch of Chain = Average Chain Velocity*60/(Number of teeth on sprocket*Speed of chain drive shaft in rpm)

Average Chain Velocity given Number of Teeth on Sprocket

Go Average Chain Velocity = Number of teeth on sprocket*Pitch of Chain*Speed of chain drive shaft in rpm/60

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity

Go Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket)

Average Velocity of Chain

Go Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60

Pitch of chain given Pitch Circle Diameter

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

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

Go Angular speed of chain driving shaft = Velocity Ratio of Chain Drive*Angular speed of chain driven shaft

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

Go Angular speed of chain driven shaft = Angular speed of chain driving shaft/Velocity Ratio of Chain Drive

Velocity Ratio of Chain Drives

Go Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft

Number of Teeth on Driving Sprocket given Velocity of Chain Drives

Go Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive

Number of Teeth on Driven Sprocket given Velocity of Chain Drives

Go Number of Teeth on Driven Sprocket = Number of Teeth on Driving Sprocket*Velocity Ratio of Chain Drive

Roller Radius given Tooth Flank Radius

Go Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))

Roller Radius given Minimum Tooth Flank Radius

Go Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)

Chain Pitch given Minimum Tooth Height above Pitch Polygon

Go Pitch of Chain = (Minimum Tooth Height+Roller Radius of Chain)/0.5

Roller Radius given Minimum Tooth Height above Pitch Polygon

Go Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height

Number of Links in Chain given Length of Chain

Go Number of links in chain = Length of Chain/Pitch of Chain

Pitch of chain given Length of Chain

Go Pitch of Chain = Length of Chain/Number of links in chain

Length of Chain

Go Length of Chain = Number of links in chain*Pitch of Chain

Roller Radius given Minimum Roller Seating Radius

Go Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)

Roller Radius given Minimum Tooth Flank Radius Formula

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

Define a Sprocket?

A sprocket, sprocket-wheel, or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track, or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

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, The Roller Radius given Minimum Tooth Flank Radius formula is defined as the distance from the center of an axle to the ground. 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 = 0.025/((23+2)*0.24).

FAQ

What is Roller Radius given Minimum Tooth Flank Radius?

The Roller Radius given Minimum Tooth Flank Radius formula is defined as the distance from the center of an axle to the ground 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 minimum required radius of curvature of the flanks of a sprocket tooth & Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).

How to calculate Roller Radius given Minimum Tooth Flank Radius?

The Roller Radius given Minimum Tooth Flank Radius formula is defined as the distance from the center of an axle to the ground 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 5 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
Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)

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