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Pitch Circular Diameter of Gear given Virtual Gear Formula

GoPitch Circular Diameter of Gear given Virtual Number of Teeth Formula

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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. Check FAQs

d = 2 \cdot r' \cdot {(\cos (ψ))}^{2}

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

Pitch Circular Diameter of Gear given Virtual Gear Example

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Here is how the Pitch Circular Diameter of Gear given Virtual Gear equation looks like with Values.

Here is how the Pitch Circular Diameter of Gear given Virtual Gear equation looks like with Units.

Here is how the Pitch Circular Diameter of Gear given Virtual Gear equation looks like.

118.2807 = 2 \cdot 72 \cdot {(\cos (25))}^{2}

118.2807mm = 2 \cdot 72mm \cdot {(\cos (25°))}^{2}

118.2807 = 2 \cdot 72 \cdot {(\cos (25))}^{2}

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Pitch Circular Diameter of Gear given Virtual Gear Solution

Follow our step by step solution on how to calculate Pitch Circular Diameter of Gear given Virtual Gear?

FIRST Step Consider the formula

d = 2 \cdot r' \cdot {(\cos (ψ))}^{2}

Next Step Substitute values of Variables

∴

d = 2 \cdot 72mm \cdot {(\cos (25°))}^{2}

Next Step Convert Units

∴

d = 2 \cdot 0.072m \cdot {(\cos (0.4363rad))}^{2}

Next Step Prepare to Evaluate

∴

d = 2 \cdot 0.072 \cdot {(\cos (0.4363))}^{2}

Next Step Evaluate

∴

d = 0.11828070789744m

Next Step Convert to Output's Unit

∴

d = 118.28070789744mm

LAST Step Rounding Answer

∴

d = 118.2807mm

Pitch Circular Diameter of Gear given Virtual Gear Formula Elements

Variables

Functions

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

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 Diameter of Pitch Circle of Helical Gear

Go Pitch Circular Diameter of Gear given Virtual Number of Teeth

d = m n \cdot z' \cdot ({\cos (ψ)}^{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 Pitch Circular Diameter of Gear given Virtual Gear?

Pitch Circular Diameter of Gear given Virtual Gear evaluator uses Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2 to evaluate the Diameter of Pitch Circle of Helical Gear, The Pitch Circular Diameter of Gear given Virtual Gear formula is the diameter of the imaginary circle on the gear about which it may be supposed to roll without slipping with the pitch circle of another gear. The point of contact of the two pitch circles becomes the pitch point. Diameter of Pitch Circle of Helical Gear is denoted by d symbol.

How to evaluate Pitch Circular Diameter of Gear given Virtual Gear using this online evaluator? To use this online evaluator for Pitch Circular Diameter of Gear given Virtual Gear, enter Radius of Curvature of Helical Gear (r') & Helix Angle of Helical Gear (ψ) and hit the calculate button.

FAQs on Pitch Circular Diameter of Gear given Virtual Gear

What is the formula to find Pitch Circular Diameter of Gear given Virtual Gear?

The formula of Pitch Circular Diameter of Gear given Virtual Gear is expressed as Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2. Here is an example- 118280.7 = 2*0.072*(cos(0.4363323129985))^2.

How to calculate Pitch Circular Diameter of Gear given Virtual Gear?

With Radius of Curvature of Helical Gear (r') & Helix Angle of Helical Gear (ψ) we can find Pitch Circular Diameter of Gear given Virtual Gear using the formula - Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2. This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Diameter of Pitch Circle of Helical Gear?

Here are the different ways to Calculate Diameter of Pitch Circle of Helical Gear-

Diameter of Pitch Circle of Helical Gear=Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)

Can the Pitch Circular Diameter of Gear given Virtual Gear be negative?

No, the Pitch Circular Diameter of Gear given Virtual Gear, measured in Length cannot be negative.

Which unit is used to measure Pitch Circular Diameter of Gear given Virtual Gear?

Pitch Circular Diameter of Gear given Virtual Gear is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Circular Diameter of Gear given Virtual Gear can be measured.

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Pitch Circular Diameter of Gear given Virtual Gear Formula

​GoPitch Circular Diameter of Gear given Virtual Number of Teeth Formula

Pitch Circular Diameter of Gear given Virtual Gear Example

Pitch Circular Diameter of Gear given Virtual Gear Solution

Pitch Circular Diameter of Gear given Virtual Gear Formula Elements

Other Formulas to find Diameter of Pitch Circle of Helical Gear

Other formulas in Helix Geometry category

How to Evaluate Pitch Circular Diameter of Gear given Virtual Gear?

FAQs on Pitch Circular Diameter of Gear given Virtual Gear

Variable Name

GoPitch Circular Diameter of Gear given Virtual Number of Teeth Formula