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Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle. Check FAQs
d=m⋅z
d - Pitch Circle Diameter of Spur Gear?m - Module of Spur Gear?z - Number of Teeth on Spur Gear?

Pitch Circle Diameter of Gear given Module and Number of Teeth Example

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With units
Only example

Here is how the Pitch Circle Diameter of Gear given Module and Number of Teeth equation looks like with Values.

Here is how the Pitch Circle Diameter of Gear given Module and Number of Teeth equation looks like with Units.

Here is how the Pitch Circle Diameter of Gear given Module and Number of Teeth equation looks like.

123Edit=4.1Edit⋅30Edit
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Pitch Circle Diameter of Gear given Module and Number of Teeth Solution

Follow our step by step solution on how to calculate Pitch Circle Diameter of Gear given Module and Number of Teeth?

FIRST Step Consider the formula
d=m⋅z
Next Step Substitute values of Variables
∴ d=4.1mm⋅30
Next Step Convert Units
∴ d=0.0041m⋅30
Next Step Prepare to Evaluate
∴ d=0.0041⋅30
Next Step Evaluate
∴d=0.123m
LAST Step Convert to Output's Unit
∴d=123mm

Pitch Circle Diameter of Gear given Module and Number of Teeth Formula Elements

Variables
Pitch Circle Diameter of Spur Gear
Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Pitch Circle Diameter of Spur GearOpen Variable
Module of Spur Gear
Module of Spur Gear is the unit of size that indicates how big or small is a gear.
Symbol: m
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Module of Spur GearOpen Variable
Number of Teeth on Spur Gear
Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
Symbol: z
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Teeth on Spur GearOpen Variable

Other Formulas to find Pitch Circle Diameter of Spur Gear

​Go Pitch Circle Diameter of Small Size Gear
d=m⋅z
​Go Pitch Circle Diameter of Medium Size Gear
d=m⋅z
​Go Pitch Circle Diameter of Large Size Gear
d=m⋅z

Other formulas in Parameters of Spur Gear category

​Go Circular Pitch of Gear given Diameter and Number of Teeth
Pc=π⋅dz
​Go Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Pd=zd
​Go Diametral Pitch of Gear given Circular Pitch
Pd=πPc
​Go Module of Gear given Diametral Pitch
m=1Pd

How to Evaluate Pitch Circle Diameter of Gear given Module and Number of Teeth?

Pitch Circle Diameter of Gear given Module and Number of Teeth evaluator uses Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear to evaluate the Pitch Circle Diameter of Spur Gear, Pitch Circle Diameter of Gear given Module and Number of Teeth is defined as the diameter of the circle passing through the center of all the holes of a gear. It depends on the inner diameter of the rim and the outer diameter of the rim. Pitch Circle Diameter of Spur Gear is denoted by d symbol.

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

FAQs on Pitch Circle Diameter of Gear given Module and Number of Teeth

What is the formula to find Pitch Circle Diameter of Gear given Module and Number of Teeth?
The formula of Pitch Circle Diameter of Gear given Module and Number of Teeth is expressed as Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear. Here is an example- 123000 = 0.0041*30.
How to calculate Pitch Circle Diameter of Gear given Module and Number of Teeth?
With Module of Spur Gear (m) & Number of Teeth on Spur Gear (z) we can find Pitch Circle Diameter of Gear given Module and Number of Teeth using the formula - Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear.
What are the other ways to Calculate Pitch Circle Diameter of Spur Gear?
Here are the different ways to Calculate Pitch Circle Diameter of Spur Gear-
  • Pitch Circle Diameter of Spur Gear=Module of Spur Gear*Number of Teeth on Spur GearOpenImg
  • Pitch Circle Diameter of Spur Gear=Module of Spur Gear*Number of Teeth on Spur GearOpenImg
  • Pitch Circle Diameter of Spur Gear=Module of Spur Gear*Number of Teeth on Spur GearOpenImg
Can the Pitch Circle Diameter of Gear given Module and Number of Teeth be negative?
No, the Pitch Circle Diameter of Gear given Module and Number of Teeth, measured in Length cannot be negative.
Which unit is used to measure Pitch Circle Diameter of Gear given Module and Number of Teeth?
Pitch Circle Diameter of Gear given Module and Number of Teeth 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 of Gear given Module and Number of Teeth can be measured.
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