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Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth. Check FAQs
Ds=Df+2⋅ri
Ds - Sproket Diameter of Pitch Circle?Df - Root Diameter of Sprocket Wheel?ri - Roller Seating Radius?

Pitch Circle Diameter given Root Diameter of Sprocket Wheel Example

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With units
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Here is how the Pitch Circle Diameter given Root Diameter of Sprocket Wheel equation looks like with Values.

Here is how the Pitch Circle Diameter given Root Diameter of Sprocket Wheel equation looks like with Units.

Here is how the Pitch Circle Diameter given Root Diameter of Sprocket Wheel equation looks like.

131Edit=117Edit+2⋅7Edit
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HomeIcon Home » Category Physics » Category Mechanical » Category Design of Automobile Elements » fx Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Pitch Circle Diameter given Root Diameter of Sprocket Wheel Solution

Follow our step by step solution on how to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?

FIRST Step Consider the formula
Ds=Df+2⋅ri
Next Step Substitute values of Variables
∴ Ds=117mm+2⋅7mm
Next Step Convert Units
∴ Ds=0.117m+2⋅0.007m
Next Step Prepare to Evaluate
∴ Ds=0.117+2⋅0.007
Next Step Evaluate
∴Ds=0.131m
LAST Step Convert to Output's Unit
∴Ds=131mm

Pitch Circle Diameter given Root Diameter of Sprocket Wheel Formula Elements

Variables
Sproket Diameter of Pitch Circle
Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.
Symbol: Ds
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Sproket Diameter of Pitch CircleOpen Variable
Root Diameter of Sprocket Wheel
Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.
Symbol: Df
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Root Diameter of Sprocket WheelOpen Variable
Roller Seating Radius
Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.
Symbol: ri
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Roller Seating RadiusOpen Variable

Other Formulas to find Sproket Diameter of Pitch Circle

​Go Pitch Circle Diameter given Pitch
Ds=Psin(3.035z)
​Go Pitch Circle Diameter given Top Diameter of Sprocket Wheel
Ds=da-P⋅(1-(1.6z))+2⋅R
​Go Pitch Circle Diameter given Average Velocity of Chain
Ds=v⋅60π⋅N

Other formulas in Proportions of the Sprocket Wheel category

​Go Pitch Angle of Sprocket
α=360z57.24
​Go Number of Teeth on Sprocket given Pitch Angle of Sprocket
z=360α⋅(180π)
​Go Top Diameter of Sprocket Wheel
da=Ds+P⋅(1-(1.6z))-2⋅R
​Go Root Diameter of Sprocket Wheel
Df=Ds-2⋅ri

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

Pitch Circle Diameter given Root Diameter of Sprocket Wheel evaluator uses Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius to evaluate 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 Ds symbol.

How to evaluate Pitch Circle Diameter given Root Diameter of Sprocket Wheel using this online evaluator? To use this online evaluator for Pitch Circle Diameter given Root Diameter of Sprocket Wheel, enter Root Diameter of Sprocket Wheel (Df) & Roller Seating Radius (ri) and hit the calculate button.

FAQs on Pitch Circle Diameter given Root Diameter of Sprocket Wheel

What is the formula to find Pitch Circle Diameter given Root Diameter of Sprocket Wheel?
The formula of Pitch Circle Diameter given Root Diameter of Sprocket Wheel is expressed as Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius. Here is an example- 164000 = 0.117+2*0.007.
How to calculate Pitch Circle Diameter given Root Diameter of Sprocket Wheel?
With Root Diameter of Sprocket Wheel (Df) & Roller Seating Radius (ri) we can find Pitch Circle Diameter given Root Diameter of Sprocket Wheel using the formula - Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius.
What are the other ways to Calculate Sproket Diameter of Pitch Circle?
Here are the different ways to Calculate Sproket Diameter of Pitch Circle-
  • Sproket Diameter of Pitch Circle=Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)OpenImg
  • 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 ChainOpenImg
  • Sproket Diameter of Pitch Circle=Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)OpenImg
Can the Pitch Circle Diameter given Root Diameter of Sprocket Wheel be negative?
No, the Pitch Circle Diameter given Root Diameter of Sprocket Wheel, measured in Length cannot be negative.
Which unit is used to measure Pitch Circle Diameter given Root Diameter of Sprocket Wheel?
Pitch Circle Diameter given Root Diameter of Sprocket Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Circle Diameter given Root Diameter of Sprocket Wheel can be measured.
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