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Lead angle of Worm Gear given number of starts and diametral quotient Formula

GoLead angle of Worm Gear given lead of worm and pitch circle diameter of worm Formula

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The Lead Angle of Worm is defined as the angle between a tangent to the thread at the pitch diameter and a plane normal to the worm axis. Check FAQs

γ = a \tan (\frac{z 1}{q})

γ - Lead Angle of Worm?z₁ - Number of Starts on Worm?q - Diametral Quotient?

Lead angle of Worm Gear given number of starts and diametral quotient Example

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Here is how the Lead angle of Worm Gear given number of starts and diametral quotient equation looks like with Values.

Here is how the Lead angle of Worm Gear given number of starts and diametral quotient equation looks like with Units.

Here is how the Lead angle of Worm Gear given number of starts and diametral quotient equation looks like.

14.0362 = a \tan (\frac{3}{12})

14.0362° = a \tan (\frac{3}{12})

14.0362 = a \tan (\frac{3}{12})

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Lead angle of Worm Gear given number of starts and diametral quotient Solution

Follow our step by step solution on how to calculate Lead angle of Worm Gear given number of starts and diametral quotient?

FIRST Step Consider the formula

γ = a \tan (\frac{z 1}{q})

Next Step Substitute values of Variables

∴

γ = a \tan (\frac{3}{12})

Next Step Prepare to Evaluate

∴

γ = a \tan (\frac{3}{12})

Next Step Evaluate

∴

γ = 0.244978663126864rad

Next Step Convert to Output's Unit

∴

γ = 14.0362434679291°

LAST Step Rounding Answer

∴

γ = 14.0362°

Lead angle of Worm Gear given number of starts and diametral quotient Formula Elements

Variables

Functions

Lead Angle of Worm

The Lead Angle of Worm is defined as the angle between a tangent to the thread at the pitch diameter and a plane normal to the worm axis.

Symbol: γ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Lead Angle of Worm

Number of Starts on Worm

The Number of starts on worm is defined as the number of thread starts of worm in one rotation.

Symbol: z₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Starts on Worm

Diametral Quotient

Diametral Quotient is defined as the ratio of pitch circle diameter of worm to the axial module of worm.

Symbol: q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Diametral Quotient

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Lead Angle of Worm

Go Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm

γ = a \tan (\frac{l w}{π \cdot d 1})

Other formulas in Design of Worm Gears category

Go Diametral Quotient of Worm Gear

q = \frac{d 1}{m a}

Go Lead of Worm Gear given axial pitch and number of starts on worm

l w = p x \cdot z 1

Go Lead of Worm Gear given axial module and number of starts on worm

l w = π \cdot m a \cdot z 1

Go Rubbing speed of Worm Gear

v = π \cdot d 1 \cdot \frac{N}{60 \cdot \cos (γ)}

How to Evaluate Lead angle of Worm Gear given number of starts and diametral quotient?

Lead angle of Worm Gear given number of starts and diametral quotient evaluator uses Lead Angle of Worm = atan(Number of Starts on Worm/Diametral Quotient) to evaluate the Lead Angle of Worm, Lead angle of Worm Gear given number of starts and diametral quotient formula is defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution. Lead Angle of Worm is denoted by γ symbol.

How to evaluate Lead angle of Worm Gear given number of starts and diametral quotient using this online evaluator? To use this online evaluator for Lead angle of Worm Gear given number of starts and diametral quotient, enter Number of Starts on Worm (z₁) & Diametral Quotient (q) and hit the calculate button.

FAQs on Lead angle of Worm Gear given number of starts and diametral quotient

What is the formula to find Lead angle of Worm Gear given number of starts and diametral quotient?

The formula of Lead angle of Worm Gear given number of starts and diametral quotient is expressed as Lead Angle of Worm = atan(Number of Starts on Worm/Diametral Quotient). Here is an example- 804.2175 = atan(3/12).

How to calculate Lead angle of Worm Gear given number of starts and diametral quotient?

With Number of Starts on Worm (z₁) & Diametral Quotient (q) we can find Lead angle of Worm Gear given number of starts and diametral quotient using the formula - Lead Angle of Worm = atan(Number of Starts on Worm/Diametral Quotient). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Lead Angle of Worm?

Here are the different ways to Calculate Lead Angle of Worm-

Lead Angle of Worm=atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear))

Can the Lead angle of Worm Gear given number of starts and diametral quotient be negative?

No, the Lead angle of Worm Gear given number of starts and diametral quotient, measured in Angle cannot be negative.

Which unit is used to measure Lead angle of Worm Gear given number of starts and diametral quotient?

Lead angle of Worm Gear given number of starts and diametral quotient is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Lead angle of Worm Gear given number of starts and diametral quotient can be measured.

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Lead angle of Worm Gear given number of starts and diametral quotient Formula

​GoLead angle of Worm Gear given lead of worm and pitch circle diameter of worm Formula

Lead angle of Worm Gear given number of starts and diametral quotient Example

Lead angle of Worm Gear given number of starts and diametral quotient Solution

Lead angle of Worm Gear given number of starts and diametral quotient Formula Elements

Other Formulas to find Lead Angle of Worm

Other formulas in Design of Worm Gears category

How to Evaluate Lead angle of Worm Gear given number of starts and diametral quotient?

FAQs on Lead angle of Worm Gear given number of starts and diametral quotient

Variable Name

GoLead angle of Worm Gear given lead of worm and pitch circle diameter of worm Formula