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

STEP 0: Pre-Calculation Summary
Formula Used
Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
d = m*z
This formula uses 3 Variables
Variables Used
Pitch Circle Diameter of Spur Gear - (Measured in Meter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Module of Spur Gear - (Measured in Meter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
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.
STEP 1: Convert Input(s) to Base Unit
Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Number of Teeth on Spur Gear: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = m*z --> 0.0041*30
Evaluating ... ...
d = 0.123
STEP 3: Convert Result to Output's Unit
0.123 Meter -->123 Millimeter (Check conversion here)
FINAL ANSWER
123 Millimeter <-- Pitch Circle Diameter of Spur Gear
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
Circular Pitch of Gear given Diameter and Number of Teeth
Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
Radial Force of Gear given Tangential Force and Pressure Angle
Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Tangential Force on Gear given Radial Force and Pressure Angle
Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Pitch Circle Diameter of holes of Medium Size Gear
Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2
Diameter of Holes in Gear Web of Medium Size Diameter
Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4
Inner Diameter of Rim of Large Size Gear
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter
Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Addendum Circle Diameter of Medium Size Gear Diameter given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Tangential Force on Gear given Torque and Pitch Circle Diameter
Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Medium Size Gear given Dedundum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Large Size Gear
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Gear given Module and Number of Teeth
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

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

Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
d = m*z

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

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

Pitch Circle Diameter of Gear given Module and Number of Teeth calculator uses Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear to calculate 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 calculate Pitch Circle Diameter of Gear given Module and Number of Teeth using this online calculator? To use this online calculator 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. Here is how the Pitch Circle Diameter of Gear given Module and Number of Teeth calculation can be explained with given input values -> 123000 = 0.0041*30.

FAQ

What is Pitch Circle Diameter of Gear given Module and Number of Teeth?
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 and is represented as d = m*z or Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear. Module of Spur Gear is the unit of size that indicates how big or small is a 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.
How to calculate Pitch Circle Diameter of Gear given Module and Number of Teeth?
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 is calculated using Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear. To calculate Pitch Circle Diameter of Gear given Module and Number of Teeth, you need Module of Spur Gear (m) & Number of Teeth on Spur Gear (z). With our tool, you need to enter the respective value for Module of Spur Gear & Number of Teeth on Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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