Pitch of chain given Pitch Circle Diameter Calculator

✖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.ⓘ Pitch Circle Diameter of Sprocket [D]			+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%

✖Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.ⓘ Pitch of chain given Pitch Circle Diameter [P]

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Pitch of chain given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)
P = D*sin(3.035/z)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sin(Angle)

Variables Used

Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - 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.
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

Pitch Circle Diameter of Sprocket: 167.3 Millimeter --> 0.1673 Meter (Check conversion here)
Number of Teeth on Sprocket: 23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = D*sin(3.035/z) --> 0.1673*sin(3.035/23)

Evaluating ... ...

P = 0.0220123144176744

STEP 3: Convert Result to Output's Unit

0.0220123144176744 Meter -->22.0123144176744 Millimeter (Check conversion here)

FINAL ANSWER

22.0123144176744 ≈ 22.01231 Millimeter <-- Pitch of Chain

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter

LaTeX 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

LaTeX 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

LaTeX Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft

Velocity Ratio of Chain Drives

LaTeX Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Pitch of chain given Pitch Circle Diameter Formula

LaTeX Go

Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)
P = D*sin(3.035/z)

What is 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 Pitch of chain given Pitch Circle Diameter?

Pitch of chain given Pitch Circle Diameter calculator uses Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket) to calculate 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 calculate Pitch of chain given Pitch Circle Diameter using this online calculator? To use this online calculator 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. Here is how the Pitch of chain given Pitch Circle Diameter calculation can be explained with given input values -> 22012.31 = 0.1673*sin(3.035/23).

FAQ

What is Pitch of chain given Pitch Circle Diameter?

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 and is represented as P = D*sin(3.035/z) or Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on 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 & 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 Pitch of chain given Pitch Circle Diameter?

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 is calculated using Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket). To calculate Pitch of chain given Pitch Circle Diameter, you need Pitch Circle Diameter of Sprocket (D) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Pitch Circle Diameter of Sprocket & 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 Pitch of Chain?

In this formula, Pitch of Chain uses Pitch Circle Diameter of Sprocket & Number of Teeth on Sprocket. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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