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Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Formula

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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. Check FAQs

a = \sqrt{r' \cdot b}

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

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Example

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Here is how the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point equation looks like with Values.

Here is how the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point equation looks like with Units.

Here is how the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point equation looks like.

19.8997 = \sqrt{72 \cdot 5.5}

19.8997mm = \sqrt{72mm \cdot 5.5mm}

19.8997 = \sqrt{72 \cdot 5.5}

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Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Solution

Follow our step by step solution on how to calculate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

FIRST Step Consider the formula

a = \sqrt{r' \cdot b}

Next Step Substitute values of Variables

∴

a = \sqrt{72mm \cdot 5.5mm}

Next Step Convert Units

∴

a = \sqrt{0.072m \cdot 0.0055m}

Next Step Prepare to Evaluate

∴

a = \sqrt{0.072 \cdot 0.0055}

Next Step Evaluate

∴

a = 0.0198997487421324m

Next Step Convert to Output's Unit

∴

a = 19.8997487421324mm

LAST Step Rounding Answer

∴

a = 19.8997mm

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Formula Elements

Variables

Functions

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

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 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

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 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 Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point evaluator uses Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth) to evaluate the Semi Major Axis of Helical Gear Teeth, Semi Major Axis of elliptical profile given Radius of curvature at point formula is defined as a line segment that is at right angles with the semi-minor axis and has one end at the center of the conic section. Semi Major Axis of Helical Gear Teeth is denoted by a symbol.

How to evaluate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point using this online evaluator? To use this online evaluator for Semi Major Axis of Elliptical Profile given Radius of Curvature at Point, enter Radius of Curvature of Helical Gear (r') & Semi Minor Axis of Helical Gear Teeth (b) and hit the calculate button.

FAQs on Semi Major Axis of Elliptical Profile given Radius of Curvature at Point

What is the formula to find Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

The formula of Semi Major Axis of Elliptical Profile given Radius of Curvature at Point is expressed as Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth). Here is an example- 19899.75 = sqrt(0.072*0.0055).

How to calculate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

With Radius of Curvature of Helical Gear (r') & Semi Minor Axis of Helical Gear Teeth (b) we can find Semi Major Axis of Elliptical Profile given Radius of Curvature at Point using the formula - Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth). This formula also uses Square Root (sqrt) function(s).

Can the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point be negative?

No, the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point, measured in Length cannot be negative.

Which unit is used to measure Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Semi Major Axis of Elliptical Profile given Radius of Curvature at Point can be measured.

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Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Formula

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Example

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Solution

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point Formula Elements

Other formulas in Helix Geometry category

How to Evaluate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

FAQs on Semi Major Axis of Elliptical Profile given Radius of Curvature at Point

Variable Name