Virtual Number of Teeth on Helical Gear given Actual Number of Teeth Calculator

✖Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ 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 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 given Actual Number of Teeth [z']

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Virtual Number of Teeth on Helical Gear given Actual Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
z' = z/(cos(ψ))^3
This formula uses 1 Functions, 3 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

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.
Number of Teeth on Helical Gear - Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
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

Number of Teeth on Helical Gear: 37 --> 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

z' = z/(cos(ψ))^3 --> 37/(cos(0.4363323129985))^3

Evaluating ... ...

z' = 49.7020829240334

STEP 3: Convert Result to Output's Unit

49.7020829240334 --> No Conversion Required

FINAL ANSWER

49.7020829240334 ≈ 49.70208 <-- Virtual Number of Teeth on Helical Gear

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Virtual Number of Teeth on Helical Gear given Actual 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

Virtual Number of Teeth on Helical Gear given Actual Number of Teeth Formula

LaTeX Go

Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
z' = z/(cos(ψ))^3

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 Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

Virtual Number of Teeth on Helical Gear given Actual Number of Teeth calculator uses Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3 to calculate the Virtual Number of Teeth on Helical Gear, Virtual Number of teeth on Helical Gear given Actual Number of teeth formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane. Virtual Number of Teeth on Helical Gear is denoted by z' symbol.

How to calculate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth using this online calculator? To use this online calculator for Virtual Number of Teeth on Helical Gear given Actual Number of Teeth, enter Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Virtual Number of Teeth on Helical Gear given Actual Number of Teeth calculation can be explained with given input values -> 49.70208 = 37/(cos(0.4363323129985))^3.

FAQ

What is Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

Virtual Number of teeth on Helical Gear given Actual Number of teeth formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane and is represented as z' = z/(cos(ψ))^3 or Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3. Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration & 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 Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

Virtual Number of teeth on Helical Gear given Actual Number of teeth formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane is calculated using Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3. To calculate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth, you need Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for 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 Virtual Number of Teeth on Helical Gear?

In this formula, Virtual Number of Teeth on Helical Gear uses Number of Teeth on Helical Gear & Helix Angle of Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear

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