Normal Module of Helical Gear given Addendum Circle Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
mn = da/(z/cos(ψ)+2)
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Normal Module of Helical Gear - (Measured in Meter) - The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
Addendum Circle Diameter of Helical Gear - (Measured in Meter) - The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.
Number of Teeth on Helical Gear - Number of Teeth on Helical 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.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
STEP 1: Convert Input(s) to Base Unit
Addendum Circle Diameter of Helical Gear: 138 Millimeter --> 0.138 Meter (Check conversion here)
Number of Teeth on Helical Gear: 37 --> No Conversion Required
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mn = da/(z/cos(ψ)+2) --> 0.138/(37/cos(0.4363323129985)+2)
Evaluating ... ...
mn = 0.0032224180916735
STEP 3: Convert Result to Output's Unit
0.0032224180916735 Meter -->3.2224180916735 Millimeter (Check conversion here)
FINAL ANSWER
3.2224180916735 3.222418 Millimeter <-- Normal Module of Helical Gear
(Calculation completed in 00.004 seconds)

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25 Core Design Parameters Calculators

Normal Module of Helical Gear given Center to Center Distance between Two Gears
Go Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)
Center to Center distance between Two Gears
Go Center to Center Distance of Helical Gears = Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*cos(Helix Angle of Helical Gear))
Number of Teeth on Second Helical Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 2nd Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 1st Helical Gear
Number of Teeth on First Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 1st Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 2nd Helical Gear
Normal Module of Helical Gear given Virtual Number of Teeth
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
Addendum Circle Diameter of Gear
Go Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2)
Normal Module of Helical Gear given Addendum Circle Diameter
Go Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
Number of Teeth on Gear given Addendum Circle Diameter
Go Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear given Pitch Circle Diameter
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear
Number of Teeth on Gear given Pitch Circle Diameter
Go Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
Pitch Circle Diameter of Helical Gear
Go Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Virtual Number of Teeth on Helical Gear
Go Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear
Pitch Circle Diameter of Gear given Radius of Curvature at Point
Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
Virtual Number of Teeth on Helical Gear given Actual Number of Teeth
Go Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
Transverse Module of Helical Gear given Normal Module
Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear
Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
Addendum of Gear given Addendum Circle Diameter
Go Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2
Addendum Circle Diameter of Gear given Pitch Circle Diameter
Go Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear
Pitch Circle Diameter of Gear given Addendum Circle Diameter
Go Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
Number of Teeth on Helical Gear given Speed Ratio for Helical Gears
Go Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
Number of Teeth on Pinion given Speed Ratio
Go Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio
Angular Velocity of Pinion given Speed Ratio
Go Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear
Angular Velocity of Gear given Speed Ratio
Go Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio
Speed Ratio for Helical Gears
Go Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear
Transverse Module of Helical Gear given Transverse Diametrical Pitch
Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Normal Module of Helical Gear given Addendum Circle Diameter Formula

Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
mn = da/(z/cos(ψ)+2)

Define Addendum

The addendum is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and the outside diameter.

How to Calculate Normal Module of Helical Gear given Addendum Circle Diameter?

Normal Module of Helical Gear given Addendum Circle Diameter calculator uses Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2) to calculate the Normal Module of Helical Gear, Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix. Normal Module of Helical Gear is denoted by mn symbol.

How to calculate Normal Module of Helical Gear given Addendum Circle Diameter using this online calculator? To use this online calculator for Normal Module of Helical Gear given Addendum Circle Diameter, enter Addendum Circle Diameter of Helical Gear (da), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Normal Module of Helical Gear given Addendum Circle Diameter calculation can be explained with given input values -> 3222.418 = 0.138/(37/cos(0.4363323129985)+2).

FAQ

What is Normal Module of Helical Gear given Addendum Circle Diameter?
Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix and is represented as mn = da/(z/cos(ψ)+2) or Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel, Number of Teeth on Helical 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 & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
How to calculate Normal Module of Helical Gear given Addendum Circle Diameter?
Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix is calculated using Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). To calculate Normal Module of Helical Gear given Addendum Circle Diameter, you need Addendum Circle Diameter of Helical Gear (da), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Addendum Circle Diameter of Helical Gear, Number of Teeth on Helical Gear & Helix Angle of Helical 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 Normal Module of Helical Gear?
In this formula, Normal Module of Helical Gear uses Addendum Circle Diameter of Helical Gear, Number of Teeth on Helical Gear & Helix Angle of Helical Gear. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
  • Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear
  • Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)
  • Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
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