Pitch Circle Diameter given Root Diameter of Sprocket Wheel Calculator

✖Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.ⓘ Root Diameter of Sprocket Wheel [D_f]			+10% -10%
✖Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.ⓘ Roller Seating Radius [r_i]			+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 Root Diameter of Sprocket Wheel [D_s]

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Pitch Circle Diameter given Root Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
D_s = D_f+2*r_i
This formula uses 3 Variables

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.
Root Diameter of Sprocket Wheel - (Measured in Meter) - Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.
Roller Seating Radius - (Measured in Meter) - Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.

STEP 1: Convert Input(s) to Base Unit

Root Diameter of Sprocket Wheel: 117 Millimeter --> 0.117 Meter (Check conversion here)
Roller Seating Radius: 7 Millimeter --> 0.007 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = D_f+2*r_i --> 0.117+2*0.007

Evaluating ... ...

D_s = 0.131

STEP 3: Convert Result to Output's Unit

0.131 Meter -->131 Millimeter (Check conversion here)

FINAL ANSWER

131 Millimeter <-- Sproket Diameter of Pitch Circle

(Calculation completed in 00.006 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 Root Diameter of Sprocket Wheel

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 Root Diameter of Sprocket Wheel Formula

LaTeX Go

Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
D_s = D_f+2*r_i

What is Root Diameter?

The root diameter of a sprocket is the diameter of the circle that runs through the base of the sprocket's teeth, where they connect to the sprocket body. It is smaller than the pitch circle diameter and is used to determine the clearance and overall fit between the sprocket and the chain or other meshing components.

How to Calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

Pitch Circle Diameter given Root Diameter of Sprocket Wheel calculator uses Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius to calculate the Sproket Diameter of Pitch Circle, Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where they engage with the sprocket teeth, providing a crucial parameter in the design and operation of sprocket-based mechanical systems. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Pitch Circle Diameter given Root Diameter of Sprocket Wheel, enter Root Diameter of Sprocket Wheel (D_f) & Roller Seating Radius (r_i) and hit the calculate button. Here is how the Pitch Circle Diameter given Root Diameter of Sprocket Wheel calculation can be explained with given input values -> 164000 = 0.117+2*0.007.

FAQ

What is Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where they engage with the sprocket teeth, providing a crucial parameter in the design and operation of sprocket-based mechanical systems and is represented as D_s = D_f+2*r_i or Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius. Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel & Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.

How to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

Pitch Circle Diameter given Root Diameter of Sprocket Wheel formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where they engage with the sprocket teeth, providing a crucial parameter in the design and operation of sprocket-based mechanical systems is calculated using Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius. To calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel, you need Root Diameter of Sprocket Wheel (D_f) & Roller Seating Radius (r_i). With our tool, you need to enter the respective value for Root Diameter of Sprocket Wheel & Roller Seating Radius 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 Root Diameter of Sprocket Wheel & Roller Seating Radius. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)
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 = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)

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