Normal Module of Helical Gear given Virtual Number of Teeth Calculator

✖Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Diameter of Pitch Circle of Helical Gear [d]			+10% -10%
✖The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.ⓘ Virtual Number of Teeth on Helical Gear [z']			+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%

✖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 given Virtual Number of Teeth [m_n]

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Normal Module of Helical Gear given Virtual Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
m_n = d/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.
Diameter of Pitch Circle of Helical Gear - (Measured in Meter) - Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Virtual Number of Teeth on Helical Gear - The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.
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

Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)
Virtual Number of Teeth on Helical Gear: 54 --> 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

m_n = d/z'*(cos(ψ)^2) --> 0.118/54*(cos(0.4363323129985)^2)

Evaluating ... ...

m_n = 0.00179489757354654

STEP 3: Convert Result to Output's Unit

0.00179489757354654 Meter -->1.79489757354654 Millimeter (Check conversion here)

FINAL ANSWER

1.79489757354654 ≈ 1.794898 Millimeter <-- Normal Module of Helical Gear

(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 » Normal Module of Helical Gear given Virtual Number of Teeth

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Osmania University (OU), Hyderabad

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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

Normal Module of Helical Gear given Virtual Number of Teeth Formula

LaTeX 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)
m_n = d/z'*(cos(ψ)^2)

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 Normal Module of Helical Gear given Virtual Number of Teeth?

Normal Module of Helical Gear given Virtual Number of Teeth calculator uses 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) to calculate the Normal Module of Helical Gear, Normal Module of Helical Gear given Virtual Number of Teeth formula is defined as the module of tooth datum orthogonal to the thread helix. Normal Module of Helical Gear is denoted by m_n symbol.

How to calculate Normal Module of Helical Gear given Virtual Number of Teeth using this online calculator? To use this online calculator for Normal Module of Helical Gear given Virtual Number of Teeth, enter Diameter of Pitch Circle of Helical Gear (d), Virtual 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 Virtual Number of Teeth calculation can be explained with given input values -> 1794.898 = 0.118/54*(cos(0.4363323129985)^2).

FAQ

What is Normal Module of Helical Gear given Virtual Number of Teeth?

Normal Module of Helical Gear given Virtual Number of Teeth formula is defined as the module of tooth datum orthogonal to the thread helix and is represented as m_n = d/z'*(cos(ψ)^2) or 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). Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle, The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear & 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 Virtual Number of Teeth?

Normal Module of Helical Gear given Virtual Number of Teeth formula is defined as the module of tooth datum orthogonal to the thread helix is calculated using 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). To calculate Normal Module of Helical Gear given Virtual Number of Teeth, you need Diameter of Pitch Circle of Helical Gear (d), Virtual Number of Teeth on Helical Gear (z') & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Diameter of Pitch Circle of Helical Gear, Virtual 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 Diameter of Pitch Circle of Helical Gear, Virtual Number of Teeth on Helical Gear & Helix Angle of Helical Gear. We can use 3 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)

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