FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Roller Radius given Minimum Tooth Flank Radius Formula

GoRoller Radius given Top Diameter of Sprocket Wheel Formula

GoRoller Radius given Tooth Flank Radius Formula

Fx Copy

LaTeX Copy

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{re min}{(z + 2) \cdot 0.24}

R - Roller Radius of Chain?re_min - Minimum Tooth Flank Radius?z - Number of Teeth on Sprocket?

Roller Radius given Minimum Tooth Flank Radius Example

With values

With units

Only example

Here is how the Roller Radius given Minimum Tooth Flank Radius equation looks like with Values.

Here is how the Roller Radius given Minimum Tooth Flank Radius equation looks like with Units.

Here is how the Roller Radius given Minimum Tooth Flank Radius equation looks like.

6 = \frac{36}{(23 + 2) \cdot 0.24}

6mm = \frac{36mm}{(23 + 2) \cdot 0.24}

6 = \frac{36}{(23 + 2) \cdot 0.24}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Roller Radius given Minimum Tooth Flank Radius

Roller Radius given Minimum Tooth Flank Radius Solution

Follow our step by step solution on how to calculate Roller Radius given Minimum Tooth Flank Radius?

FIRST Step Consider the formula

R = \frac{re min}{(z + 2) \cdot 0.24}

Next Step Substitute values of Variables

∴

R = \frac{36mm}{(23 + 2) \cdot 0.24}

Next Step Convert Units

∴

R = \frac{0.036m}{(23 + 2) \cdot 0.24}

Next Step Prepare to Evaluate

∴

R = \frac{0.036}{(23 + 2) \cdot 0.24}

Next Step Evaluate

∴

R = 0.006m

LAST Step Convert to Output's Unit

∴

R = 6mm

Roller Radius given Minimum Tooth Flank Radius 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

Minimum Tooth Flank Radius

Minimum Tooth Flank Radius is the radius of the smallest circle that can be inscribed within the tooth flank of a chain.

Symbol: re_min

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Minimum Tooth Flank Radius

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 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

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 Minimum Tooth Flank Radius?

Roller Radius given Minimum Tooth Flank Radius evaluator uses Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24) to evaluate 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 evaluate Roller Radius given Minimum Tooth Flank Radius using this online evaluator? To use this online evaluator 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.

FAQs on Roller Radius given Minimum Tooth Flank Radius

What is the formula to find Roller Radius given Minimum Tooth Flank Radius?

The formula of Roller Radius given Minimum Tooth Flank Radius is expressed as Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24). Here is an example- 4166.667 = 0.036/((23+2)*0.24).

How to calculate Roller Radius given Minimum Tooth Flank Radius?

With Minimum Tooth Flank Radius (re_min) & Number of Teeth on Sprocket (z) we can find Roller Radius given Minimum Tooth Flank Radius using the formula - Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of Teeth on Sprocket+2)*0.24).

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

Can the Roller Radius given Minimum Tooth Flank Radius be negative?

No, the Roller Radius given Minimum Tooth Flank Radius, measured in Length cannot be negative.

Which unit is used to measure Roller Radius given Minimum Tooth Flank Radius?

Roller Radius given Minimum Tooth Flank Radius 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 Minimum Tooth Flank Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!