Diametral Pitch of Gear given Circular Pitch Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Pd = pi/Pc
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diametral Pitch of Spur Gear - (Measured in 1 per Meter) - Diametral Pitch of Spur Gear is the number of teeth on the Spur Gear per unit length of the pitch diameter.
Circular Pitch of Spur Gear - (Measured in Meter) - Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.
STEP 1: Convert Input(s) to Base Unit
Circular Pitch of Spur Gear: 12.35 Millimeter --> 0.01235 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pd = pi/Pc --> pi/0.01235
Evaluating ... ...
Pd = 254.379971950591
STEP 3: Convert Result to Output's Unit
254.379971950591 1 per Meter -->0.254379971950591 1 per Millimeter (Check conversion here)
FINAL ANSWER
0.254379971950591 0.25438 1 per Millimeter <-- Diametral Pitch of Spur Gear
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
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

Diametral Pitch of Gear given Circular Pitch Formula

Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Pd = pi/Pc

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 Diametral Pitch of Gear given Circular Pitch?

Diametral Pitch of Gear given Circular Pitch calculator uses Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear to calculate the Diametral Pitch of Spur Gear, Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter. Diametral Pitch of Spur Gear is denoted by Pd symbol.

How to calculate Diametral Pitch of Gear given Circular Pitch using this online calculator? To use this online calculator for Diametral Pitch of Gear given Circular Pitch, enter Circular Pitch of Spur Gear (Pc) and hit the calculate button. Here is how the Diametral Pitch of Gear given Circular Pitch calculation can be explained with given input values -> 0.000254 = pi/0.01235.

FAQ

What is Diametral Pitch of Gear given Circular Pitch?
Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter and is represented as Pd = pi/Pc or Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.
How to calculate Diametral Pitch of Gear given Circular Pitch?
Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter is calculated using Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. To calculate Diametral Pitch of Gear given Circular Pitch, you need Circular Pitch of Spur Gear (Pc). With our tool, you need to enter the respective value for Circular Pitch of Spur Gear 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 Diametral Pitch of Spur Gear?
In this formula, Diametral Pitch of Spur Gear uses Circular Pitch of Spur Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
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