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Helix Angle When Center to Center Distance Between two Gears is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = acos(Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*Center to center distance of gears))
α = acos(mn*(z1+z2)/(2*a))
This formula uses 2 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
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.
Center to center distance of gears - The Center to center distance of gears value (Measured in Meter)
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
Center to center distance of gears: 0.01 Meter --> 0.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = acos(mn*(z1+z2)/(2*a)) --> acos(1E-06*(30+30)/(2*0.01))
Evaluating ... ...
α = 1.56779632229488
STEP 3: Convert Result to Output's Unit
1.56779632229488 Radian -->89.8281124036456 Degree (Check conversion here)
FINAL ANSWER
89.8281124036456 Degree <-- Helix Angle
(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

Helix Angle When Center to Center Distance Between two Gears is Given Formula

helix_angle = acos(Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*Center to center distance of gears))
α = acos(mn*(z1+z2)/(2*a))

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 Helix Angle When Center to Center Distance Between two Gears is Given?

Helix Angle When Center to Center Distance Between two Gears is Given calculator uses helix_angle = acos(Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*Center to center distance of gears)) to calculate the Helix Angle, The Helix Angle When Center to Center Distance Between two Gears is Given formula is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane. Helix Angle and is denoted by α symbol.

How to calculate Helix Angle When Center to Center Distance Between two Gears is Given using this online calculator? To use this online calculator for Helix Angle When Center to Center Distance Between two Gears is Given, enter Normal Module (mn), Number of Teeth 1 (z1), Number of Teeth 2 (z2) and Center to center distance of gears (a) and hit the calculate button. Here is how the Helix Angle When Center to Center Distance Between two Gears is Given calculation can be explained with given input values -> 89.82811 = acos(1E-06*(30+30)/(2*0.01)).

FAQ

What is Helix Angle When Center to Center Distance Between two Gears is Given?
The Helix Angle When Center to Center Distance Between two Gears is Given formula is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane and is represented as α = acos(mn*(z1+z2)/(2*a)) or helix_angle = acos(Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*Center to center distance of gears)). 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 The Center to center distance of gears value.
How to calculate Helix Angle When Center to Center Distance Between two Gears is Given?
The Helix Angle When Center to Center Distance Between two Gears is Given formula is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane is calculated using helix_angle = acos(Normal Module*(Number of Teeth 1+Number of Teeth 2)/(2*Center to center distance of gears)). To calculate Helix Angle When Center to Center Distance Between two Gears is Given, you need Normal Module (mn), Number of Teeth 1 (z1), Number of Teeth 2 (z2) and Center to center distance of gears (a). With our tool, you need to enter the respective value for Normal Module, Number of Teeth 1, Number of Teeth 2 and Center to center distance of gears 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 Helix Angle?
In this formula, Helix Angle uses Normal Module, Number of Teeth 1, Number of Teeth 2 and Center to center distance of gears. 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 Helix Angle When Center to Center Distance Between two Gears is Given calculator used?
Among many, Helix Angle When Center to Center Distance Between two Gears is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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