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Number of Links in Chain Formula

GoNumber of Links in Chain given Length of Chain Formula

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Number of Links in Chain is the total count of individual links that are connected to form a chain in a geometric system. Check FAQs

L n = 2 \cdot (\frac{C}{P}) + \frac{z 1 + z 2}{2} + (\frac{P}{C}) \cdot {(\frac{z 2 - z 1}{2} \cdot π)}^{2}

L_n - Number of Links in Chain?C - Centre Distance between Chain Pulleys?P - Pitch of Chain?z₁ - Number of Teeth on Driving Sprocket?z₂ - Number of Teeth on Driven Sprocket?π - Archimedes' constant?

Number of Links in Chain Example

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Here is how the Number of Links in Chain equation looks like with Values.

Here is how the Number of Links in Chain equation looks like with Units.

Here is how the Number of Links in Chain equation looks like.

105.0037 = 2 \cdot (\frac{573.8}{22}) + \frac{17 + 34}{2} + (\frac{22}{573.8}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

105.0037 = 2 \cdot (\frac{573.8mm}{22mm}) + \frac{17 + 34}{2} + (\frac{22mm}{573.8mm}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

105.0037 = 2 \cdot (\frac{573.8}{22}) + \frac{17 + 34}{2} + (\frac{22}{573.8}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

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Number of Links in Chain Solution

Follow our step by step solution on how to calculate Number of Links in Chain?

FIRST Step Consider the formula

L n = 2 \cdot (\frac{C}{P}) + \frac{z 1 + z 2}{2} + (\frac{P}{C}) \cdot {(\frac{z 2 - z 1}{2} \cdot π)}^{2}

Next Step Substitute values of Variables

∴

L n = 2 \cdot (\frac{573.8mm}{22mm}) + \frac{17 + 34}{2} + (\frac{22mm}{573.8mm}) \cdot {(\frac{34 - 17}{2} \cdot π)}^{2}

Next Step Substitute values of Constants

∴

L n = 2 \cdot (\frac{573.8mm}{22mm}) + \frac{17 + 34}{2} + (\frac{22mm}{573.8mm}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

Next Step Convert Units

∴

L n = 2 \cdot (\frac{0.5738m}{0.022m}) + \frac{17 + 34}{2} + (\frac{0.022m}{0.5738m}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

Next Step Prepare to Evaluate

∴

L n = 2 \cdot (\frac{0.5738}{0.022}) + \frac{17 + 34}{2} + (\frac{0.022}{0.5738}) \cdot {(\frac{34 - 17}{2} \cdot 3.1416)}^{2}

Next Step Evaluate

∴

L n = 105.003713386173

LAST Step Rounding Answer

∴

L n = 105.0037

Number of Links in Chain Formula Elements

Variables

Constants

Number of Links in Chain

Number of Links in Chain is the total count of individual links that are connected to form a chain in a geometric system.

Symbol: L_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Links in Chain

Centre Distance between Chain Pulleys

Centre Distance between Chain Pulleys is the distance between the centres of two pulleys in a chain drive system, affecting the chain's tension and motion.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Distance between Chain Pulleys

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 Driving Sprocket

Number of Teeth on Driving Sprocket is the total count of teeth present on the driving sprocket in a chain drive system, affecting the overall gear ratio.

Symbol: z₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Driving Sprocket

Number of Teeth on Driven Sprocket

Number of Teeth on Driven Sprocket is the total count of teeth on the driven sprocket in a chain drive system, which affects the overall gear ratio.

Symbol: z₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Driven Sprocket

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Number of Links in Chain?

Number of Links in Chain evaluator uses 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 to evaluate the Number of Links in Chain, Number of Links in Chain formula is defined as a method to determine the total number of links required in a chain drive system, considering the center distance, pitch, and other parameters, to ensure efficient power transmission and minimize wear and tear on the system. Number of Links in Chain is denoted by L_n symbol.

How to evaluate Number of Links in Chain using this online evaluator? To use this online evaluator for Number of Links in Chain, enter Centre Distance between Chain Pulleys (C), Pitch of Chain (P), Number of Teeth on Driving Sprocket (z₁) & Number of Teeth on Driven Sprocket (z₂) and hit the calculate button.

FAQs on Number of Links in Chain

What is the formula to find Number of Links in Chain?

The formula of Number of Links in Chain is expressed as 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. Here is an example- 104.118 = 2*(0.5738/0.022)+(17+34)/2+(0.022/0.5738)*((34-17)/2*pi)^2.

How to calculate Number of Links in Chain?

With Centre Distance between Chain Pulleys (C), Pitch of Chain (P), Number of Teeth on Driving Sprocket (z₁) & Number of Teeth on Driven Sprocket (z₂) we can find Number of Links in Chain using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Number of Links in Chain?

Here are the different ways to Calculate Number of Links in Chain-

Number of Links in Chain=Length of Chain/Pitch of Chain

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: Unit

Number of Links in Chain Formula

​GoNumber of Links in Chain given Length of Chain Formula

Number of Links in Chain Example

Number of Links in Chain Solution

Number of Links in Chain Formula Elements

Other Formulas to find Number of Links in Chain

Other formulas in Geometric Relationships for Chain category

How to Evaluate Number of Links in Chain?

FAQs on Number of Links in Chain

Variable Name

GoNumber of Links in Chain given Length of Chain Formula