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

✖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.ⓘ Axial Module [m_a]			+10% -10%
✖The Number of starts on worm is defined as the number of thread starts of worm in one rotation.ⓘ Number of Starts on Worm [z₁]			+10% -10%

✖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.ⓘ Lead of Worm Gear given axial module and number of starts on worm [l_w]

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

STEP 0: Pre-Calculation Summary

Formula Used

Lead of Worm = pi*Axial Module*Number of Starts on Worm
l_w = pi*m_a*z₁
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Lead of Worm - (Measured in Meter) - 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.
Axial Module - (Measured in Meter) - 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.
Number of Starts on Worm - The Number of starts on worm is defined as the number of thread starts of worm in one rotation.

STEP 1: Convert Input(s) to Base Unit

Axial Module: 4 Millimeter --> 0.004 Meter (Check conversion here)
Number of Starts on Worm: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_w = pi*m_a*z₁ --> pi*0.004*3

Evaluating ... ...

l_w = 0.0376991118430775

STEP 3: Convert Result to Output's Unit

0.0376991118430775 Meter -->37.6991118430775 Millimeter (Check conversion here)

FINAL ANSWER

37.6991118430775 ≈ 37.69911 Millimeter <-- Lead of Worm

(Calculation completed in 00.004 seconds)

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Created by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

Ojas Kulkarni has created this Calculator and 10+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Design of Worm Gears Calculators

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

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

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

LaTeX Go Lead of Worm = pi*Axial Module*Number of Starts on Worm

Diametral Quotient of Worm Gear

LaTeX Go Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module

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

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

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

LaTeX Go

Lead of Worm = pi*Axial Module*Number of Starts on Worm
l_w = pi*m_a*z₁

What is a double-enveloping Worm Gear Drive?

A double-enveloping gear drive is one in which the gear wraps
around the worm and the worm also wraps around the gear. This results in area contact between the threads of the worm and the teeth of the worm wheel. In this case, the worm is also called ‘hourglass’ worm. This drive is also called cone gearing.

How to Calculate 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 calculator uses Lead of Worm = pi*Axial Module*Number of Starts on Worm to calculate 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 calculate Lead of Worm Gear given axial module and number of starts on worm using this online calculator? To use this online calculator 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. Here is how the Lead of Worm Gear given axial module and number of starts on worm calculation can be explained with given input values -> 37699.11 = pi*0.004*3.

FAQ

What is 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 defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution and is represented as l_w = pi*m_a*z₁ or Lead of Worm = pi*Axial Module*Number of Starts on Worm. 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 & The Number of starts on worm is defined as the number of thread starts of worm in one rotation.

How to calculate 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 defined as the distance that a point on the helical profile will move when the worm is rotated through one revolution is calculated using Lead of Worm = pi*Axial Module*Number of Starts on Worm. To calculate Lead of Worm Gear given axial module and number of starts on worm, you need Axial Module (m_a) & Number of Starts on Worm (z₁). With our tool, you need to enter the respective value for Axial Module & Number of Starts on Worm and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Lead of Worm?

In this formula, Lead of Worm uses Axial Module & Number of Starts on Worm. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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