Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
df = m*(z-2.5)
This formula uses 3 Variables
Variables Used
Dedendum Circle Diameter of Spur Gear - (Measured in Meter) - Dedendum Circle Diameter of Spur Gear is the diameter of a circle touching the root of the gear teeth.
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
df = m*(z-2.5) --> 0.0041*(30-2.5)
Evaluating ... ...
df = 0.11275
STEP 3: Convert Result to Output's Unit
0.11275 Meter -->112.75 Millimeter (Check conversion ​here)
FINAL ANSWER
112.75 Millimeter <-- Dedendum Circle Diameter of Spur Gear
(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth
​ LaTeX ​ Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
​ LaTeX ​ Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Diametral Pitch of Gear given Circular Pitch
​ LaTeX ​ Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
​ LaTeX ​ Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module Formula

​LaTeX ​Go
Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
df = m*(z-2.5)

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 Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module?

Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module calculator uses Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5) to calculate the Dedendum Circle Diameter of Spur Gear, Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module is defined as the diameter of the circle known as the dedendum circle that touches the innermost points of the teeth of a small-sized circular gear wheel. Dedendum Circle Diameter of Spur Gear is denoted by df symbol.

How to calculate Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module using this online calculator? To use this online calculator for Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module, enter Module of Spur Gear (m) & Number of Teeth on Spur Gear (z) and hit the calculate button. Here is how the Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module calculation can be explained with given input values -> 112750 = 0.0041*(30-2.5).

FAQ

What is Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module?
Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module is defined as the diameter of the circle known as the dedendum circle that touches the innermost points of the teeth of a small-sized circular gear wheel and is represented as df = m*(z-2.5) or Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5). 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 Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module?
Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module is defined as the diameter of the circle known as the dedendum circle that touches the innermost points of the teeth of a small-sized circular gear wheel is calculated using Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5). To calculate Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module, 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.
How many ways are there to calculate Dedendum Circle Diameter of Spur Gear?
In this formula, Dedendum Circle Diameter of Spur Gear uses Module of Spur Gear & Number of Teeth on Spur Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
  • Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
  • Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
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