FormulaDen.com

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

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

GoLead of Worm Gear given axial pitch and number of starts on worm Formula

Fx Copy

LaTeX Copy

The Lead of Worm is defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution. Check FAQs

l w = π \cdot m a \cdot z 1

l_w - Lead of Worm?m_a - Axial Module?z₁ - Number of Starts on Worm?π - Archimedes' constant?

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

With values

With units

Only example

Here is how the Lead of Worm Gear given axial module and number of starts on worm equation looks like with Values.

Here is how the Lead of Worm Gear given axial module and number of starts on worm equation looks like with Units.

Here is how the Lead of Worm Gear given axial module and number of starts on worm equation looks like.

37.6991 = 3.1416 \cdot 4 \cdot 3

37.6991mm = 3.1416 \cdot 4mm \cdot 3

37.6991 = 3.1416 \cdot 4 \cdot 3

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

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

Follow our step by step solution on how to calculate Lead of Worm Gear given axial module and number of starts on worm?

FIRST Step Consider the formula

l w = π \cdot m a \cdot z 1

Next Step Substitute values of Variables

∴

l w = π \cdot 4mm \cdot 3

Next Step Substitute values of Constants

∴

l w = 3.1416 \cdot 4mm \cdot 3

Next Step Convert Units

∴

l w = 3.1416 \cdot 0.004m \cdot 3

Next Step Prepare to Evaluate

∴

l w = 3.1416 \cdot 0.004 \cdot 3

Next Step Evaluate

∴

l w = 0.0376991118430775m

Next Step Convert to Output's Unit

∴

l w = 37.6991118430775mm

LAST Step Rounding Answer

∴

l w = 37.6991mm

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

Variables

Constants

Lead of Worm

The Lead of Worm is defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution.

Symbol: l_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Lead of Worm

Axial Module

The Axial Module is the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth.

Symbol: m_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Axial Module

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

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 to find Lead of Worm

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

l w = p x \cdot z 1

Other formulas in Design of Worm Gears category

Go Diametral Quotient of Worm Gear

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

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})

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

γ = a \tan (\frac{z 1}{q})

Go Rubbing speed of Worm Gear

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

How to Evaluate Lead of Worm Gear given axial module and number of starts on worm?

Lead of Worm Gear given axial module and number of starts on worm evaluator uses Lead of Worm = pi*Axial Module*Number of Starts on Worm to evaluate the Lead of Worm, Lead of Worm Gear given axial module and number of starts on worm is defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution. Lead of Worm is denoted by l_w symbol.

How to evaluate Lead of Worm Gear given axial module and number of starts on worm using this online evaluator? To use this online evaluator for Lead of Worm Gear given axial module and number of starts on worm, enter Axial Module (m_a) & Number of Starts on Worm (z₁) and hit the calculate button.

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

What is the formula to find Lead of Worm Gear given axial module and number of starts on worm?

The formula of Lead of Worm Gear given axial module and number of starts on worm is expressed as Lead of Worm = pi*Axial Module*Number of Starts on Worm. Here is an example- 37699.11 = pi*0.004*3.

How to calculate Lead of Worm Gear given axial module and number of starts on worm?

With Axial Module (m_a) & Number of Starts on Worm (z₁) we can find Lead of Worm Gear given axial module and number of starts on worm using the formula - Lead of Worm = pi*Axial Module*Number of Starts on Worm. This formula also uses Archimedes' constant .

What are the other ways to Calculate Lead of Worm?

Here are the different ways to Calculate Lead of Worm-

Lead of Worm=Axial Pitch of Worm*Number of Starts on Worm

Can the Lead of Worm Gear given axial module and number of starts on worm be negative?

No, the Lead of Worm Gear given axial module and number of starts on worm, measured in Length cannot be negative.

Which unit is used to measure Lead of Worm Gear given axial module and number of starts on worm?

Lead of Worm Gear given axial module and number of starts on worm is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Lead of Worm Gear given axial module and number of starts on worm can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoLead of Worm Gear given axial pitch and number of starts on worm Formula

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

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

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

Other Formulas to find Lead of Worm

Other formulas in Design of Worm Gears category

How to Evaluate Lead of Worm Gear given axial module and number of starts on worm?

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

Variable Name

GoLead of Worm Gear given axial pitch and number of starts on worm Formula