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Pitch of chain given Pitch Circle Diameter Formula

GoPitch of chain given Average Chain Velocity Formula

GoPitch of chain given Length of Chain Formula

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Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length. Check FAQs

P = D \cdot \sin (\frac{3.035}{z})

P - Pitch of Chain?D - Pitch Circle Diameter of Sprocket?z - Number of Teeth on Sprocket?

Pitch of chain given Pitch Circle Diameter Example

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With units

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Here is how the Pitch of chain given Pitch Circle Diameter equation looks like with Values.

Here is how the Pitch of chain given Pitch Circle Diameter equation looks like with Units.

Here is how the Pitch of chain given Pitch Circle Diameter equation looks like.

22.0123 = 167.3 \cdot \sin (\frac{3.035}{23})

22.0123mm = 167.3mm \cdot \sin (\frac{3.035}{23})

22.0123 = 167.3 \cdot \sin (\frac{3.035}{23})

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Pitch of chain given Pitch Circle Diameter Solution

Follow our step by step solution on how to calculate Pitch of chain given Pitch Circle Diameter?

FIRST Step Consider the formula

P = D \cdot \sin (\frac{3.035}{z})

Next Step Substitute values of Variables

∴

P = 167.3mm \cdot \sin (\frac{3.035}{23})

Next Step Convert Units

∴

P = 0.1673m \cdot \sin (\frac{3.035}{23})

Next Step Prepare to Evaluate

∴

P = 0.1673 \cdot \sin (\frac{3.035}{23})

Next Step Evaluate

∴

P = 0.0220123144176744m

Next Step Convert to Output's Unit

∴

P = 22.0123144176744mm

LAST Step Rounding Answer

∴

P = 22.0123mm

Pitch of chain given Pitch Circle Diameter Formula Elements

Variables

Functions

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

Pitch Circle Diameter of Sprocket

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.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Sprocket

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Pitch of Chain

Go Pitch of chain given Average Chain Velocity

P = v \cdot \frac{60}{z \cdot N}

Go Pitch of chain given Length of Chain

P = \frac{L}{L n}

Go Chain Pitch given Minimum Tooth Height above Pitch Polygon

P = \frac{ha min + R}{0.5}

Other formulas in Geometric Relationships for Chain category

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

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

N 2 = \frac{N 1}{i}

How to Evaluate Pitch of chain given Pitch Circle Diameter?

Pitch of chain given Pitch Circle Diameter evaluator uses Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket) to evaluate the Pitch of Chain, Pitch of chain given Pitch Circle Diameter formula is defined as a method to determine the pitch of a chain in mechanical engineering, which is a critical parameter in designing and manufacturing chains, particularly in power transmission systems, where it affects the overall performance and efficiency of the system. Pitch of Chain is denoted by P symbol.

How to evaluate Pitch of chain given Pitch Circle Diameter using this online evaluator? To use this online evaluator for Pitch of chain given Pitch Circle Diameter, enter Pitch Circle Diameter of Sprocket (D) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Pitch of chain given Pitch Circle Diameter

What is the formula to find Pitch of chain given Pitch Circle Diameter?

The formula of Pitch of chain given Pitch Circle Diameter is expressed as Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket). Here is an example- 22012.31 = 0.1673*sin(3.035/23).

How to calculate Pitch of chain given Pitch Circle Diameter?

With Pitch Circle Diameter of Sprocket (D) & Number of Teeth on Sprocket (z) we can find Pitch of chain given Pitch Circle Diameter using the formula - Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Pitch of Chain?

Here are the different ways to Calculate Pitch of Chain-

Pitch of Chain=Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM)
Pitch of Chain=Length of Chain/Number of Links in Chain
Pitch of Chain=(Minimum Tooth Height+Roller Radius of Chain)/0.5

Can the Pitch of chain given Pitch Circle Diameter be negative?

No, the Pitch of chain given Pitch Circle Diameter, measured in Length cannot be negative.

Which unit is used to measure Pitch of chain given Pitch Circle Diameter?

Pitch of chain given Pitch Circle Diameter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch of chain given Pitch Circle Diameter can be measured.

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Pitch of chain given Pitch Circle Diameter Formula

​GoPitch of chain given Average Chain Velocity Formula

​GoPitch of chain given Length of Chain Formula

Pitch of chain given Pitch Circle Diameter Example

Pitch of chain given Pitch Circle Diameter Solution

Pitch of chain given Pitch Circle Diameter Formula Elements

Other Formulas to find Pitch of Chain

Other formulas in Geometric Relationships for Chain category

How to Evaluate Pitch of chain given Pitch Circle Diameter?

FAQs on Pitch of chain given Pitch Circle Diameter

Variable Name

GoPitch of chain given Average Chain Velocity Formula

GoPitch of chain given Length of Chain Formula