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Helix Angle of Helical Gear given Actual and Virtual Number of Teeth Formula

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula

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Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone. Check FAQs

ψ = a \cos ({(\frac{z}{z'})}^{\frac{1}{3}})

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

Helix Angle of Helical Gear given Actual and Virtual Number of Teeth Example

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

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

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

28.1646 = a \cos ({(\frac{37}{54})}^{\frac{1}{3}})

28.1646° = a \cos ({(\frac{37}{54})}^{\frac{1}{3}})

28.1646 = a \cos ({(\frac{37}{54})}^{\frac{1}{3}})

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Helix Angle of Helical Gear given Actual and Virtual Number of Teeth Solution

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

FIRST Step Consider the formula

ψ = a \cos ({(\frac{z}{z'})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

ψ = a \cos ({(\frac{37}{54})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

ψ = a \cos ({(\frac{37}{54})}^{\frac{1}{3}})

Next Step Evaluate

∴

ψ = 0.491564654166394rad

Next Step Convert to Output's Unit

∴

ψ = 28.1645800415475°

LAST Step Rounding Answer

∴

ψ = 28.1646°

Helix Angle of Helical Gear given Actual and Virtual Number of Teeth Formula Elements

Variables

Functions

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

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

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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Helix Angle of Helical Gear

Go Helix Angle of Helical Gear given Normal Circular Pitch

ψ = a \cos (\frac{P N}{p})

Go Helix Angle of Helical Gear given Normal Module

ψ = a \cos (\frac{m n}{m})

Go Helix Angle of Helical Gear given Axial Pitch

ψ = a \tan (\frac{p}{p a})

Go Helix Angle of Helical Gear given Pressure Angle

ψ = a \cos (\frac{\tan (α n)}{\tan (α)})

Other formulas in Helix Geometry category

Go Normal Circular Pitch of Helical Gear

P N = p \cdot \cos (ψ)

Go Pitch of Helical Gear given Normal Circular Pitch

p = \frac{P N}{\cos (ψ)}

Go Transverse Diametrical Pitch of Helical Gear given Transverse Module

P = \frac{1}{m}

Go Axial Pitch of Helical Gear given Helix Angle

p a = \frac{p}{\tan (ψ)}

How to Evaluate Helix Angle of Helical Gear given Actual and Virtual Number of Teeth?

Helix Angle of Helical Gear given Actual and Virtual Number of Teeth evaluator uses Helix Angle of Helical Gear = acos((Number of Teeth on Helical Gear/Virtual Number of Teeth on Helical Gear)^(1/3)) to evaluate the Helix Angle of Helical Gear, Helix Angle of Helical Gear given Actual and Virtual Number of Teeth formula is defined as the angle between the axis of the shaft and the center line of the tooth taken on the pitch plane. Helix Angle of Helical Gear is denoted by ψ symbol.

How to evaluate Helix Angle of Helical Gear given Actual and Virtual Number of Teeth using this online evaluator? To use this online evaluator for Helix Angle of Helical Gear given Actual and Virtual Number of Teeth, enter Number of Teeth on Helical Gear (z) & Virtual Number of Teeth on Helical Gear (z') and hit the calculate button.

FAQs on Helix Angle of Helical Gear given Actual and Virtual Number of Teeth

What is the formula to find Helix Angle of Helical Gear given Actual and Virtual Number of Teeth?

The formula of Helix Angle of Helical Gear given Actual and Virtual Number of Teeth is expressed as Helix Angle of Helical Gear = acos((Number of Teeth on Helical Gear/Virtual Number of Teeth on Helical Gear)^(1/3)). Here is an example- 1613.712 = acos((37/54)^(1/3)).

How to calculate Helix Angle of Helical Gear given Actual and Virtual Number of Teeth?

With Number of Teeth on Helical Gear (z) & Virtual Number of Teeth on Helical Gear (z') we can find Helix Angle of Helical Gear given Actual and Virtual Number of Teeth using the formula - Helix Angle of Helical Gear = acos((Number of Teeth on Helical Gear/Virtual Number of Teeth on Helical Gear)^(1/3)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Helix Angle of Helical Gear?

Here are the different ways to Calculate Helix Angle of Helical Gear-

Helix Angle of Helical Gear=acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)
Helix Angle of Helical Gear=acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)
Helix Angle of Helical Gear=atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)

Can the Helix Angle of Helical Gear given Actual and Virtual Number of Teeth be negative?

No, the Helix Angle of Helical Gear given Actual and Virtual Number of Teeth, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Helical Gear given Actual and Virtual Number of Teeth?

Helix Angle of Helical Gear given Actual and Virtual Number of Teeth is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Helix Angle of Helical Gear given Actual and Virtual Number of Teeth can be measured.

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