Center to Center distance between Two Gears Calculator

✖The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.ⓘ Normal Module of Helical Gear [m_n]			+10% -10%
✖The Number of Teeth on 1st Helical Gear is defined as the number of teeth that are present on gear 1.ⓘ Number of Teeth on 1st Helical Gear [z₁]			+10% -10%
✖The Number of Teeth on 2nd Helical Gear is defined as the number of teeth that are present on gear 2.ⓘ Number of Teeth on 2nd Helical Gear [z₂]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+10% -10%

✖Center to Center Distance of Helical Gears is defined as the distance in between the centers of the two helical gears that are taken in consideration.ⓘ Center to Center distance between Two Gears [a_c]

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Center to Center distance between Two Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
a_c = m_n*(z₁+z₂)/(2*cos(ψ))
This formula uses 1 Functions, 5 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

Center to Center Distance of Helical Gears - (Measured in Meter) - Center to Center Distance of Helical Gears is defined as the distance in between the centers of the two helical gears that are taken in consideration.
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.
Number of Teeth on 1st Helical Gear - The Number of Teeth on 1st Helical Gear is defined as the number of teeth that are present on gear 1.
Number of Teeth on 2nd Helical Gear - The Number of Teeth on 2nd Helical Gear is defined as the number of teeth that are present on gear 2.
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

Normal Module of Helical Gear: 3 Millimeter --> 0.003 Meter (Check conversion here)
Number of Teeth on 1st Helical Gear: 18 --> No Conversion Required
Number of Teeth on 2nd Helical Gear: 42 --> 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

a_c = m_n*(z₁+z₂)/(2*cos(ψ)) --> 0.003*(18+42)/(2*cos(0.4363323129985))

Evaluating ... ...

a_c = 0.0993040127066204

STEP 3: Convert Result to Output's Unit

0.0993040127066204 Meter -->99.3040127066204 Millimeter (Check conversion here)

FINAL ANSWER

99.3040127066204 ≈ 99.30401 Millimeter <-- Center to Center Distance of Helical Gears

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Center to Center distance between Two Gears

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Core Design Parameters Calculators

Pitch Circle Diameter of Helical Gear

LaTeX 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)

Transverse Module of Helical Gear given Normal Module

LaTeX Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Module of Helical Gear

LaTeX Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Module of Helical Gear given Transverse Diametrical Pitch

LaTeX Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Center to Center distance between Two Gears Formula

LaTeX Go

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 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)) to calculate the Center to Center Distance of Helical Gears, Center to Center distance between two Gears formula is defined as the distance between the centers of the two gears that are taken into consideration. Center to Center Distance of Helical Gears is denoted by a_c 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 of Helical Gear (m_n), Number of Teeth on 1st Helical Gear (z₁), Number of Teeth on 2nd Helical Gear (z₂) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Center to Center distance between Two Gears calculation can be explained with given input values -> 99304.01 = 0.003*(18+42)/(2*cos(0.4363323129985)).

FAQ

What is Center to Center distance between Two Gears?

Center to Center distance between two Gears formula is defined as the distance between the centers of the two gears that are taken into consideration and is represented as a_c = m_n*(z₁+z₂)/(2*cos(ψ)) or 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)). The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear, The Number of Teeth on 1st Helical Gear is defined as the number of teeth that are present on gear 1, The Number of Teeth on 2nd Helical Gear is defined as the number of teeth that are present on gear 2 & 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 Center to Center distance between Two Gears?

Center to Center distance between two Gears formula is defined as the distance between the centers of the two gears that are taken into consideration is calculated using 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)). To calculate Center to Center distance between Two Gears, you need Normal Module of Helical Gear (m_n), Number of Teeth on 1st Helical Gear (z₁), Number of Teeth on 2nd Helical Gear (z₂) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Normal Module of Helical Gear, Number of Teeth on 1st Helical Gear, Number of Teeth on 2nd 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.

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