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Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
number_of_teeth_2 = (Center to center distance of gears*(2*cos(Helix Angle))/Normal Module)-Number of Teeth 1
z2 = (a*(2*cos(α))/mn)-z1
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Center to center distance of gears - The Center to center distance of gears value (Measured in Meter)
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)
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.
STEP 1: Convert Input(s) to Base Unit
Center to center distance of gears: 0.01 Meter --> 0.01 Meter No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Normal Module: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Number of Teeth 1: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z2 = (a*(2*cos(α))/mn)-z1 --> (0.01*(2*cos(0.5235987755982))/1E-06)-30
Evaluating ... ...
z2 = 17290.5080756888
STEP 3: Convert Result to Output's Unit
17290.5080756888 --> No Conversion Required
FINAL ANSWER
17290.5080756888 <-- Number of Teeth 2
(Calculation completed in 00.031 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

Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given Formula

number_of_teeth_2 = (Center to center distance of gears*(2*cos(Helix Angle))/Normal Module)-Number of Teeth 1
z2 = (a*(2*cos(α))/mn)-z1

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 Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given?

Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given calculator uses number_of_teeth_2 = (Center to center distance of gears*(2*cos(Helix Angle))/Normal Module)-Number of Teeth 1 to calculate the Number of Teeth 2, The Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given formula is defined as the number of indentations that are present on the secondary gear. Number of Teeth 2 and is denoted by z2 symbol.

How to calculate Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given using this online calculator? To use this online calculator for Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given, enter Center to center distance of gears (a), Helix Angle (α), Normal Module (mn) and Number of Teeth 1 (z1) and hit the calculate button. Here is how the Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given calculation can be explained with given input values -> 17290.51 = (0.01*(2*cos(0.5235987755982))/1E-06)-30.

FAQ

What is Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given?
The Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given formula is defined as the number of indentations that are present on the secondary gear and is represented as z2 = (a*(2*cos(α))/mn)-z1 or number_of_teeth_2 = (Center to center distance of gears*(2*cos(Helix Angle))/Normal Module)-Number of Teeth 1. The Center to center distance of gears value, 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, 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 and Number of Teeth 1 is defined as the number of teeth that are present on the gear 1.
How to calculate Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given?
The Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given formula is defined as the number of indentations that are present on the secondary gear is calculated using number_of_teeth_2 = (Center to center distance of gears*(2*cos(Helix Angle))/Normal Module)-Number of Teeth 1. To calculate Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given, you need Center to center distance of gears (a), Helix Angle (α), Normal Module (mn) and Number of Teeth 1 (z1). With our tool, you need to enter the respective value for Center to center distance of gears, Helix Angle, Normal Module and Number of Teeth 1 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 Number of Teeth 2?
In this formula, Number of Teeth 2 uses Center to center distance of gears, Helix Angle, Normal Module and Number of Teeth 1. 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 Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given calculator used?
Among many, Number of teeth on the Second Gear When Center to Center Distance Between two Helical Gears is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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