Pitch Circle Diameter given Pitch Calculator

✖Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.ⓘ Pitch of Chain [P]			+10% -10%
✖Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.ⓘ Number of Teeth on Sprocket [z]			+10% -10%

✖Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.ⓘ Pitch Circle Diameter given Pitch [D_s]

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Pitch Circle Diameter given Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)
D_s = P/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

Sproket Diameter of Pitch Circle - (Measured in Meter) - Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.
Number of Teeth on Sprocket - Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Number of Teeth on Sprocket: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = P/sin(3.035/z) --> 0.022/sin(3.035/18)

Evaluating ... ...

D_s = 0.131098056958861

STEP 3: Convert Result to Output's Unit

0.131098056958861 Meter -->131.098056958861 Millimeter (Check conversion here)

FINAL ANSWER

131.098056958861 ≈ 131.0981 Millimeter <-- Sproket Diameter of Pitch Circle

(Calculation completed in 00.007 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Proportions of the Sprocket Wheel » Pitch Circle Diameter given Pitch

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

LaTeX Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))-2*Roller Radius of Chain

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Pitch Circle Diameter given Pitch Formula

LaTeX Go

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

What is Pitch Circle Diameter of Sprocket?

The pitch circle diameter (PCD) of a sprocket is the diameter of the imaginary circle that passes through the center of the chain's rollers or links as they engage with the sprocket's teeth. It is a key measurement for ensuring proper fit and alignment between the sprocket and the chain, influencing the efficiency and performance of the chain drive system.

How to Calculate Pitch Circle Diameter given Pitch?

Pitch Circle Diameter given Pitch calculator uses Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket) to calculate the Sproket Diameter of Pitch Circle, Pitch Circle Diameter given Pitch formula is defined as the diameter of the circle passing through the centers of the teeth of a gear or a gearrack, which is a critical parameter in mechanical engineering and gear design, used to determine the size and shape of gears and gearracks. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to calculate Pitch Circle Diameter given Pitch using this online calculator? To use this online calculator for Pitch Circle Diameter given Pitch, enter Pitch of Chain (P) & Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Pitch Circle Diameter given Pitch calculation can be explained with given input values -> 131098.1 = 0.022/sin(3.035/18).

FAQ

What is Pitch Circle Diameter given Pitch?

Pitch Circle Diameter given Pitch formula is defined as the diameter of the circle passing through the centers of the teeth of a gear or a gearrack, which is a critical parameter in mechanical engineering and gear design, used to determine the size and shape of gears and gearracks and is represented as D_s = P/sin(3.035/z) or Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket). Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain & Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

How to calculate Pitch Circle Diameter given Pitch?

Pitch Circle Diameter given Pitch formula is defined as the diameter of the circle passing through the centers of the teeth of a gear or a gearrack, which is a critical parameter in mechanical engineering and gear design, used to determine the size and shape of gears and gearracks is calculated using Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket). To calculate Pitch Circle Diameter given Pitch, you need Pitch of Chain (P) & Number of Teeth on Sprocket (z). With our tool, you need to enter the respective value for Pitch of Chain & 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 Sproket Diameter of Pitch Circle?

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

Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))+2*Roller Radius of Chain
Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)

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