FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Curvature at Point on Helical Gear Formula

GoRadius of Curvature at Point on Virtual Gear Formula

GoRadius of Curvature of Virtual Gear given Pitch Circular Diameter Formula

Fx Copy

LaTeX Copy

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{a^{2}}{b}

r' - Radius of Curvature of Helical Gear?a - Semi Major Axis of Helical Gear Teeth?b - Semi Minor Axis of Helical Gear Teeth?

Radius of Curvature at Point on Helical Gear Example

With values

With units

Only example

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

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

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

69.1364 = \frac{{19.5}^{2}}{5.5}

69.1364mm = \frac{{19.5mm}^{2}}{5.5mm}

69.1364 = \frac{{19.5}^{2}}{5.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Machine Elements » fx Radius of Curvature at Point on Helical Gear

Radius of Curvature at Point on Helical Gear Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r' = \frac{{19.5mm}^{2}}{5.5mm}

Next Step Convert Units

∴

r' = \frac{{0.0195m}^{2}}{0.0055m}

Next Step Prepare to Evaluate

∴

r' = \frac{{0.0195}^{2}}{0.0055}

Next Step Evaluate

∴

r' = 0.0691363636363636m

Next Step Convert to Output's Unit

∴

r' = 69.1363636363636mm

LAST Step Rounding Answer

∴

r' = 69.1364mm

Radius of Curvature at Point on Helical Gear Formula Elements

Variables

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

Semi Major Axis of Helical Gear Teeth

Semi Major Axis of Helical Gear Teeth is one-half of the major axis of the elliptical cross-section of the teeth of a helical gear.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Semi Major Axis of Helical Gear Teeth

Semi Minor Axis of Helical Gear Teeth

Semi Minor Axis of Helical Gear Teeth is one-half of the minor axis of the elliptical cross-section of the teeth of a helical gear.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Semi Minor Axis of Helical Gear Teeth

Other Formulas to find Radius of Curvature of Helical Gear

Go Radius of Curvature at Point on Virtual Gear

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

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 Helical Gear?

Radius of Curvature at Point on Helical Gear evaluator uses Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth to evaluate the Radius of Curvature of Helical Gear, The Radius of Curvature at Point on Helical 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 Helical Gear using this online evaluator? To use this online evaluator for Radius of Curvature at Point on Helical Gear, enter Semi Major Axis of Helical Gear Teeth (a) & Semi Minor Axis of Helical Gear Teeth (b) and hit the calculate button.

FAQs on Radius of Curvature at Point on Helical Gear

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

The formula of Radius of Curvature at Point on Helical Gear is expressed as Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth. Here is an example- 69136.36 = 0.0195^2/0.0055.

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

With Semi Major Axis of Helical Gear Teeth (a) & Semi Minor Axis of Helical Gear Teeth (b) we can find Radius of Curvature at Point on Helical Gear using the formula - Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth.

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=Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)
Radius of Curvature of Helical Gear=Pitch Circular Diameter of Helical Virtual Gear/2

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

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

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

Radius of Curvature at Point on Helical 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 Helical Gear can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Radius of Curvature at Point on Helical Gear Formula

​GoRadius of Curvature at Point on Virtual Gear Formula

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

Radius of Curvature at Point on Helical Gear Example

Radius of Curvature at Point on Helical Gear Solution

Radius of Curvature at Point on Helical 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 Helical Gear?

FAQs on Radius of Curvature at Point on Helical Gear

Variable Name

GoRadius of Curvature at Point on Virtual Gear Formula

GoRadius of Curvature of Virtual Gear given Pitch Circular Diameter Formula