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

✖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 [l_w]			+10% -10%
✖Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Worm Gear [d₁]			+10% -10%

✖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.ⓘ Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm [γ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear))
γ = atan(l_w/(pi*d₁))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., atan(Number)

Variables Used

Lead Angle of Worm - (Measured in Radian) - 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.
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.
Pitch Circle Diameter of Worm Gear - (Measured in Meter) - Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

STEP 1: Convert Input(s) to Base Unit

Lead of Worm: 40 Millimeter --> 0.04 Meter (Check conversion here)
Pitch Circle Diameter of Worm Gear: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = atan(l_w/(pi*d₁)) --> atan(0.04/(pi*0.05))

Evaluating ... ...

γ = 0.249348359011174

STEP 3: Convert Result to Output's Unit

0.249348359011174 Radian -->14.2866085998558 Degree (Check conversion here)

FINAL ANSWER

14.2866085998558 ≈ 14.28661 Degree <-- Lead Angle of Worm

(Calculation completed in 00.020 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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< 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 angle of Worm Gear given lead of worm and pitch circle diameter of worm Formula

LaTeX Go

Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear))
γ = atan(l_w/(pi*d₁))

What is a self-locking gear drive?

Usually the worm is the driver and the worm wheel is the driven member and the reverse motion is not possible. Such a condition is called self-locking.

How to Calculate Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm?

Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm calculator uses Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear)) to calculate the Lead Angle of Worm, Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm formula is defined as the angle between a tangent to the thread at the pitch diameter and a plane normal to the worm axis. Lead Angle of Worm is denoted by γ symbol.

How to calculate Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm using this online calculator? To use this online calculator for Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm, enter Lead of Worm (l_w) & Pitch Circle Diameter of Worm Gear (d₁) and hit the calculate button. Here is how the Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm calculation can be explained with given input values -> 818.5624 = atan(0.04/(pi*0.05)).

FAQ

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

Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm formula is defined as the angle between a tangent to the thread at the pitch diameter and a plane normal to the worm axis and is represented as γ = atan(l_w/(pi*d₁)) or Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear)). 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 & Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm?

Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm formula is defined as the angle between a tangent to the thread at the pitch diameter and a plane normal to the worm axis is calculated using Lead Angle of Worm = atan(Lead of Worm/(pi*Pitch Circle Diameter of Worm Gear)). To calculate Lead angle of Worm Gear given lead of worm and pitch circle diameter of worm, you need Lead of Worm (l_w) & Pitch Circle Diameter of Worm Gear (d₁). With our tool, you need to enter the respective value for Lead of Worm & Pitch Circle Diameter of Worm Gear 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 Angle of Worm?

In this formula, Lead Angle of Worm uses Lead of Worm & Pitch Circle Diameter of Worm Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lead Angle of Worm = atan(Number of Starts on Worm/Diametral Quotient)

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