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Center to Center Distance Between Two Gears Solution

STEP 0: Pre-Calculation Summary
Formula Used
center_to_center_distance = Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*cos(Helix Angle))
a = mn*(z1+z2)/(2*cos(α))
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Normal Module - Normal Module is deifined as the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth. (Measured in Millimeter)
Number of Teeth 1- Number of Teeth 1 is defined as the number of teeth that are present on the gear 1.
Number of Teeth 2- Number of Teeth 2 is defined as the number of teeth that are present on the gear 1.
Helix Angle - Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Normal Module: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Number of Teeth 1: 30 --> No Conversion Required
Number of Teeth 2: 30 --> No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = mn*(z1+z2)/(2*cos(α)) --> 1E-06*(30+30)/(2*cos(0.5235987755982))
Evaluating ... ...
a = 3.46410161513775E-05
STEP 3: Convert Result to Output's Unit
3.46410161513775E-05 Meter --> No Conversion Required
FINAL ANSWER
3.46410161513775E-05 Meter <-- Center to center distance of gears
(Calculation completed in 00.016 seconds)

10+ Design of Helical Gears Calculators

Helix Angle When Normal Circular pitch is Given
helix_angle = acos(Transverse Diametrical Pitch/Circular pitch) Go
Transverse Diametrical Pitch When Normal Circular Pitch is Given
transverse_diametrical_pitch = Circular pitch*cos(Helix Angle) Go
Normal Circular Pitch of Helical Gear
circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle) Go
Transverse Diametrical Pitch When Axial Pitch is Given
transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle) Go
Axial Pitch in terms of helix angle
axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle) Go
Helix Angle When Normal Module is Given
helix_angle = acos(Normal Module/Transverse Module) Go
Transverse Module When Normal Module is Given
transverse_module = Normal Module/cos(Helix Angle) Go
Normal Module
normal_module = Transverse Module*cos(Helix Angle) Go
Transverse Module When Transverse Diametrical Pitch is Given
transverse_module = 1/Transverse Diametrical Pitch Go
Transverse Diametrical Pitch in Terms of Transverse Module
transverse_diametrical_pitch = 1/Transverse Module Go

Center to Center Distance Between Two Gears Formula

center_to_center_distance = Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*cos(Helix Angle))
a = mn*(z1+z2)/(2*cos(α))

Define Helical Gears?

A helical gear has a cylindrical pitch surface and teeth that follow a helix on the pitch cylinder. External helical gears have teeth that project outwards, whereas internal helical gears have teeth that project inwards.

How to Calculate Center to Center Distance Between Two Gears?

Center to Center Distance Between Two Gears calculator uses center_to_center_distance = Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*cos(Helix Angle)) to calculate the Center to center distance of gears, The Center to Center Distance Between Two Gears formula is defined as the distance in between the centers of the two gears that are taken in consideration ons. Center to center distance of gears and is denoted by a symbol.

How to calculate Center to Center Distance Between Two Gears using this online calculator? To use this online calculator for Center to Center Distance Between Two Gears, enter Normal Module (mn), Number of Teeth 1 (z1), Number of Teeth 2 (z2) and Helix Angle (α) and hit the calculate button. Here is how the Center to Center Distance Between Two Gears calculation can be explained with given input values -> 3.464E-5 = 1E-06*(30+30)/(2*cos(0.5235987755982)).

FAQ

What is Center to Center Distance Between Two Gears?
The Center to Center Distance Between Two Gears formula is defined as the distance in between the centers of the two gears that are taken in consideration ons and is represented as a = mn*(z1+z2)/(2*cos(α)) or center_to_center_distance = Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*cos(Helix Angle)). Normal Module is deifined as the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth, Number of Teeth 1 is defined as the number of teeth that are present on the gear 1, Number of Teeth 2 is defined as the number of teeth that are present on the gear 1 and Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit.
How to calculate Center to Center Distance Between Two Gears?
The Center to Center Distance Between Two Gears formula is defined as the distance in between the centers of the two gears that are taken in consideration ons is calculated using center_to_center_distance = Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*cos(Helix Angle)). To calculate Center to Center Distance Between Two Gears, you need Normal Module (mn), Number of Teeth 1 (z1), Number of Teeth 2 (z2) and Helix Angle (α). With our tool, you need to enter the respective value for Normal Module, Number of Teeth 1, Number of Teeth 2 and Helix Angle 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 Center to center distance of gears?
In this formula, Center to center distance of gears uses Normal Module, Number of Teeth 1, Number of Teeth 2 and Helix Angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle)
  • transverse_diametrical_pitch = Circular pitch*cos(Helix Angle)
  • helix_angle = acos(Transverse Diametrical Pitch/Circular pitch)
  • transverse_diametrical_pitch = 1/Transverse Module
  • transverse_module = 1/Transverse Diametrical Pitch
  • normal_module = Transverse Module*cos(Helix Angle)
  • transverse_module = Normal Module/cos(Helix Angle)
  • helix_angle = acos(Normal Module/Transverse Module)
  • axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
  • transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle)
Where is the Center to Center Distance Between Two Gears calculator used?
Among many, Center to Center Distance Between Two Gears calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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