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

GoVirtual Number of Teeth on Helical Gear Formula

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The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear. Check FAQs

z' = \frac{z}{{(\cos (ψ))}^{3}}

z' - Virtual Number of Teeth on Helical Gear?z - Number of Teeth on Helical Gear?ψ - Helix Angle of Helical Gear?

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

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Here is how the Virtual Number of Teeth on Helical Gear given Actual Number of Teeth equation looks like with Values.

Here is how the Virtual Number of Teeth on Helical Gear given Actual Number of Teeth equation looks like with Units.

Here is how the Virtual Number of Teeth on Helical Gear given Actual Number of Teeth equation looks like.

49.7021 = \frac{37}{{(\cos (25))}^{3}}

49.7021 = \frac{37}{{(\cos (25°))}^{3}}

49.7021 = \frac{37}{{(\cos (25))}^{3}}

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

Follow our step by step solution on how to calculate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

FIRST Step Consider the formula

z' = \frac{z}{{(\cos (ψ))}^{3}}

Next Step Substitute values of Variables

∴

z' = \frac{37}{{(\cos (25°))}^{3}}

Next Step Convert Units

∴

z' = \frac{37}{{(\cos (0.4363rad))}^{3}}

Next Step Prepare to Evaluate

∴

z' = \frac{37}{{(\cos (0.4363))}^{3}}

Next Step Evaluate

∴

z' = 49.7020829240334

LAST Step Rounding Answer

∴

z' = 49.7021

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

Variables

Functions

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.

Symbol: z'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Virtual Number of Teeth on 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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Helical Gear

Helix Angle of 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.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle of Helical Gear

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Virtual Number of Teeth on Helical Gear

Go Virtual Number of Teeth on Helical Gear

z' = 2 \cdot π \cdot \frac{r vh}{P N}

Other formulas in Core Design Parameters category

Go Transverse Module of Helical Gear given Transverse Diametrical Pitch

m = \frac{1}{P}

Go Normal Module of Helical Gear

m n = m \cdot \cos (ψ)

Go Transverse Module of Helical Gear given Normal Module

m = \frac{m n}{\cos (ψ)}

Go Pitch Circle Diameter of Helical Gear

d = z \cdot \frac{m n}{\cos (ψ)}

How to Evaluate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

Virtual Number of Teeth on Helical Gear given Actual Number of Teeth evaluator uses Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3 to evaluate 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 evaluate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

The formula of Virtual Number of Teeth on Helical Gear given Actual Number of Teeth is expressed as Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3. Here is an example- 49.70208 = 37/(cos(0.4363323129985))^3.

How to calculate Virtual Number of Teeth on Helical Gear given Actual Number of Teeth?

With Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) we can find Virtual Number of Teeth on Helical Gear given Actual Number of Teeth using the formula - Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3. This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Virtual Number of Teeth on Helical Gear?

Here are the different ways to Calculate Virtual Number of Teeth on Helical Gear-

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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