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Helix Angle of Helical Gear given Radius of Curvature at Point 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 = \sqrt{a \cos (\frac{d}{2 \cdot r'})}

ψ - Helix Angle of Helical Gear?d - Diameter of Pitch Circle of Helical Gear?r' - Radius of Curvature of Helical Gear?

Helix Angle of Helical Gear given Radius of Curvature at Point Example

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Here is how the Helix Angle of Helical Gear given Radius of Curvature at Point equation looks like with Values.

Here is how the Helix Angle of Helical Gear given Radius of Curvature at Point equation looks like with Units.

Here is how the Helix Angle of Helical Gear given Radius of Curvature at Point equation looks like.

44.7625 = \sqrt{a \cos (\frac{118}{2 \cdot 72})}

44.7625° = \sqrt{a \cos (\frac{118mm}{2 \cdot 72mm})}

44.7625 = \sqrt{a \cos (\frac{118}{2 \cdot 72})}

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Helix Angle of Helical Gear given Radius of Curvature at Point Solution

Follow our step by step solution on how to calculate Helix Angle of Helical Gear given Radius of Curvature at Point?

FIRST Step Consider the formula

ψ = \sqrt{a \cos (\frac{d}{2 \cdot r'})}

Next Step Substitute values of Variables

∴

ψ = \sqrt{a \cos (\frac{118mm}{2 \cdot 72mm})}

Next Step Convert Units

∴

ψ = \sqrt{a \cos (\frac{0.118m}{2 \cdot 0.072m})}

Next Step Prepare to Evaluate

∴

ψ = \sqrt{a \cos (\frac{0.118}{2 \cdot 0.072})}

Next Step Evaluate

∴

ψ = 0.781252371742426rad

Next Step Convert to Output's Unit

∴

ψ = 44.7624636354351°

LAST Step Rounding Answer

∴

ψ = 44.7625°

Helix Angle of Helical Gear given Radius of Curvature at Point 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

Diameter of Pitch Circle of Helical Gear

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.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Pitch Circle of Helical Gear

Radius of Curvature of Helical Gear

Radius of Curvature of Helical Gear is the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point.

Symbol: r'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature 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)

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(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 Radius of Curvature at Point?

Helix Angle of Helical Gear given Radius of Curvature at Point evaluator uses Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear))) to evaluate the Helix Angle of Helical Gear, Helix Angle of Helical Gear given Radius of Curvature at Point formula is defined as the angle between the axis of the shaft and the centerline 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 Radius of Curvature at Point using this online evaluator? To use this online evaluator for Helix Angle of Helical Gear given Radius of Curvature at Point, enter Diameter of Pitch Circle of Helical Gear (d) & Radius of Curvature of Helical Gear (r') and hit the calculate button.

FAQs on Helix Angle of Helical Gear given Radius of Curvature at Point

What is the formula to find Helix Angle of Helical Gear given Radius of Curvature at Point?

The formula of Helix Angle of Helical Gear given Radius of Curvature at Point is expressed as Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear))). Here is an example- 2564.7 = sqrt(acos(0.118/(2*0.072))).

How to calculate Helix Angle of Helical Gear given Radius of Curvature at Point?

With Diameter of Pitch Circle of Helical Gear (d) & Radius of Curvature of Helical Gear (r') we can find Helix Angle of Helical Gear given Radius of Curvature at Point using the formula - Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear))). This formula also uses Cosine (cos)Inverse Cosine (acos), Square Root (sqrt) 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 Radius of Curvature at Point be negative?

No, the Helix Angle of Helical Gear given Radius of Curvature at Point, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Helical Gear given Radius of Curvature at Point?

Helix Angle of Helical Gear given Radius of Curvature at Point is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Helix Angle of Helical Gear given Radius of Curvature at Point can be measured.

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Helix Angle of Helical Gear given Radius of Curvature at Point Formula

​GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

​GoHelix Angle of Helical Gear given Normal Module Formula

Helix Angle of Helical Gear given Radius of Curvature at Point Example

Helix Angle of Helical Gear given Radius of Curvature at Point Solution

Helix Angle of Helical Gear given Radius of Curvature at Point Formula Elements

Other Formulas to find Helix Angle of Helical Gear

Other formulas in Helix Geometry category

How to Evaluate Helix Angle of Helical Gear given Radius of Curvature at Point?

FAQs on Helix Angle of Helical Gear given Radius of Curvature at Point

Variable Name

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula