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
lworm = pi*maxial*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
lworm = pi*maxial*z1 --> pi*0.004*3
Evaluating ... ...
lworm = 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
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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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7 Design of Worm Gears Calculators

Efficiency of Worm Gear given lead angle, pressure angle and coefficient of friction
​ Go Worm Gear Efficiency = (cos(Pressure Angle of Worm Gear)-Coefficient of Friction for Worm Gear*tan(Lead Angle of Worm))/(cos(Pressure Angle of Worm Gear)+Coefficient of Friction for Worm Gear*cot(Lead Angle of Worm))
Rubbing speed of Worm Gear
​ Go Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm))
Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm
​ Go Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear))
Lead angle of Worm Gear given number of starts and diametral quotient
​ Go Lead Angle of Worm = atan(Number of starts on worm/Diametral Quotient)
Lead of Worm Gear given axial module and number of starts on worm
​ Go Lead of Worm = pi*Axial Module*Number of starts on worm
Diametral Quotient of Worm Gear
​ Go Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module
Lead of Worm Gear given axial pitch and number of starts on worm
​ 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

Lead of Worm = pi*Axial Module*Number of starts on worm
lworm = pi*maxial*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 lworm 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 (maxial) & 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 lworm = pi*maxial*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 (maxial) & 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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