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Radius of Curvature of Virtual Gear given Virtual Number of Teeth Formula

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Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear. Check FAQs

r vh = z' \cdot \frac{P N}{2 \cdot π}

r_vh - Virtual Pitch Circle Radius for Helical Gear?z' - Virtual Number of Teeth on Helical Gear?P_N - Normal Circular Pitch of Helical Gear?π - Archimedes' constant?

Radius of Curvature of Virtual Gear given Virtual Number of Teeth Example

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Here is how the Radius of Curvature of Virtual Gear given Virtual Number of Teeth equation looks like with Values.

Here is how the Radius of Curvature of Virtual Gear given Virtual Number of Teeth equation looks like with Units.

Here is how the Radius of Curvature of Virtual Gear given Virtual Number of Teeth equation looks like.

82.5059 = 54 \cdot \frac{9.6}{2 \cdot 3.1416}

82.5059mm = 54 \cdot \frac{9.6mm}{2 \cdot 3.1416}

82.5059 = 54 \cdot \frac{9.6}{2 \cdot 3.1416}

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Radius of Curvature of Virtual Gear given Virtual Number of Teeth Solution

Follow our step by step solution on how to calculate Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

FIRST Step Consider the formula

r vh = z' \cdot \frac{P N}{2 \cdot π}

Next Step Substitute values of Variables

∴

r vh = 54 \cdot \frac{9.6mm}{2 \cdot π}

Next Step Substitute values of Constants

∴

r vh = 54 \cdot \frac{9.6mm}{2 \cdot 3.1416}

Next Step Convert Units

∴

r vh = 54 \cdot \frac{0.0096m}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

r vh = 54 \cdot \frac{0.0096}{2 \cdot 3.1416}

Next Step Evaluate

∴

r vh = 0.0825059224988385m

Next Step Convert to Output's Unit

∴

r vh = 82.5059224988385mm

LAST Step Rounding Answer

∴

r vh = 82.5059mm

Radius of Curvature of Virtual Gear given Virtual Number of Teeth Formula Elements

Variables

Constants

Virtual Pitch Circle Radius for Helical Gear

Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.

Symbol: r_vh

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Virtual Pitch Circle Radius for Helical Gear

Virtual Number of Teeth on Helical Gear

The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.

Symbol: z'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Virtual Number of Teeth on Helical Gear

Normal Circular Pitch of Helical Gear

Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.

Symbol: P_N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Normal Circular Pitch of Helical Gear

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 of Virtual Gear given Virtual Number of Teeth?

Radius of Curvature of Virtual Gear given Virtual Number of Teeth evaluator uses Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi) to evaluate the Virtual Pitch Circle Radius for Helical Gear, The Radius of Curvature of Virtual Gear given Virtual Number of Teeth 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. Virtual Pitch Circle Radius for Helical Gear is denoted by r_vh symbol.

How to evaluate Radius of Curvature of Virtual Gear given Virtual Number of Teeth using this online evaluator? To use this online evaluator for Radius of Curvature of Virtual Gear given Virtual Number of Teeth, enter Virtual Number of Teeth on Helical Gear (z') & Normal Circular Pitch of Helical Gear (P_N) and hit the calculate button.

FAQs on Radius of Curvature of Virtual Gear given Virtual Number of Teeth

What is the formula to find Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

The formula of Radius of Curvature of Virtual Gear given Virtual Number of Teeth is expressed as Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi). Here is an example- 82505.92 = 54*0.0096/(2*pi).

How to calculate Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

With Virtual Number of Teeth on Helical Gear (z') & Normal Circular Pitch of Helical Gear (P_N) we can find Radius of Curvature of Virtual Gear given Virtual Number of Teeth using the formula - Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi). This formula also uses Archimedes' constant .

Can the Radius of Curvature of Virtual Gear given Virtual Number of Teeth be negative?

No, the Radius of Curvature of Virtual Gear given Virtual Number of Teeth, measured in Length cannot be negative.

Which unit is used to measure Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

Radius of Curvature of Virtual Gear given Virtual Number of Teeth 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 of Virtual Gear given Virtual Number of Teeth can be measured.

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