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Radius of Curvature at Point on Virtual Gear Formula

GoRadius of Curvature at Point on Helical Gear Formula

GoRadius of Curvature of Virtual Gear given Pitch Circular Diameter Formula

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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. Check FAQs

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

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

Radius of Curvature at Point on Virtual Gear Example

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Here is how the Radius of Curvature at Point on Virtual Gear equation looks like with Values.

Here is how the Radius of Curvature at Point on Virtual Gear equation looks like with Units.

Here is how the Radius of Curvature at Point on Virtual Gear equation looks like.

71.8291 = \frac{118}{2 \cdot {(\cos (25))}^{2}}

71.8291mm = \frac{118mm}{2 \cdot {(\cos (25°))}^{2}}

71.8291 = \frac{118}{2 \cdot {(\cos (25))}^{2}}

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Radius of Curvature at Point on Virtual Gear Solution

Follow our step by step solution on how to calculate Radius of Curvature at Point on Virtual Gear?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r' = \frac{118mm}{2 \cdot {(\cos (25°))}^{2}}

Next Step Convert Units

∴

r' = \frac{0.118m}{2 \cdot {(\cos (0.4363rad))}^{2}}

Next Step Prepare to Evaluate

∴

r' = \frac{0.118}{2 \cdot {(\cos (0.4363))}^{2}}

Next Step Evaluate

∴

r' = 0.0718291270911804m

Next Step Convert to Output's Unit

∴

r' = 71.8291270911804mm

LAST Step Rounding Answer

∴

r' = 71.8291mm

Radius of Curvature at Point on Virtual Gear Formula Elements

Variables

Functions

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

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

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 Radius of Curvature of Helical Gear

Go Radius of Curvature at Point on Helical Gear

r' = \frac{a^{2}}{b}

Go Radius of Curvature of Virtual Gear given Pitch Circular Diameter

r' = \frac{d'}{2}

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 Helix Angle of Helical Gear given Normal Circular Pitch

ψ = a \cos (\frac{P N}{p})

Go Transverse Diametrical Pitch of Helical Gear given Transverse Module

P = \frac{1}{m}

How to Evaluate Radius of Curvature at Point on Virtual Gear?

Radius of Curvature at Point on Virtual Gear evaluator uses Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2) to evaluate the Radius of Curvature of Helical Gear, The Radius of Curvature at Point on Virtual Gear formula is defined as the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point. Radius of Curvature of Helical Gear is denoted by r' symbol.

How to evaluate Radius of Curvature at Point on Virtual Gear using this online evaluator? To use this online evaluator for Radius of Curvature at Point on Virtual Gear, enter Diameter of Pitch Circle of Helical Gear (d) & Helix Angle of Helical Gear (ψ) and hit the calculate button.

FAQs on Radius of Curvature at Point on Virtual Gear

What is the formula to find Radius of Curvature at Point on Virtual Gear?

The formula of Radius of Curvature at Point on Virtual Gear is expressed as Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2). Here is an example- 71829.13 = 0.118/(2*(cos(0.4363323129985))^2).

How to calculate Radius of Curvature at Point on Virtual Gear?

With Diameter of Pitch Circle of Helical Gear (d) & Helix Angle of Helical Gear (ψ) we can find Radius of Curvature at Point on Virtual Gear using the formula - Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Radius of Curvature of Helical Gear?

Here are the different ways to Calculate Radius of Curvature of Helical Gear-

Radius of Curvature of Helical Gear=Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth
Radius of Curvature of Helical Gear=Pitch Circular Diameter of Helical Virtual Gear/2

Can the Radius of Curvature at Point on Virtual Gear be negative?

No, the Radius of Curvature at Point on Virtual Gear, measured in Length cannot be negative.

Which unit is used to measure Radius of Curvature at Point on Virtual Gear?

Radius of Curvature at Point on Virtual Gear is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Curvature at Point on Virtual Gear can be measured.

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Radius of Curvature at Point on Virtual Gear Formula

​GoRadius of Curvature at Point on Helical Gear Formula

​GoRadius of Curvature of Virtual Gear given Pitch Circular Diameter Formula

Radius of Curvature at Point on Virtual Gear Example

Radius of Curvature at Point on Virtual Gear Solution

Radius of Curvature at Point on Virtual Gear Formula Elements

Other Formulas to find Radius of Curvature of Helical Gear

Other formulas in Helix Geometry category

How to Evaluate Radius of Curvature at Point on Virtual Gear?

FAQs on Radius of Curvature at Point on Virtual Gear

Variable Name

GoRadius of Curvature at Point on Helical Gear Formula

GoRadius of Curvature of Virtual Gear given Pitch Circular Diameter Formula