Diametral Quotient of Worm Gear Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Worm Gears

Design of Bevel Gears

Design of Helical Gears

Design of Spur Gears

✖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 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_axial]			+10% -10%

✖Diametral Quotient is defined as the ratio of pitch circle diameter of worm to the axial module of worm.ⓘ Diametral Quotient of Worm Gear [q]

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Formula

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Diametral Quotient of Worm Gear

Formula

`"q" = "d"_{"1"}/"m"_{"axial"}`

Example

`"12.5"="50mm"/"4mm"`

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Diametral Quotient of Worm Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module
q = d₁/m_axial
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Worm Gear: 50 Millimeter --> 0.05 Meter (Check conversion here)
Axial Module: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = d₁/m_axial --> 0.05/0.004

Evaluating ... ...

q = 12.5

STEP 3: Convert Result to Output's Unit

12.5 --> No Conversion Required

FINAL ANSWER

12.5 <-- Diametral Quotient

(Calculation completed in 00.004 seconds)

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Sardar Patel College of Engineering (SPCE), Mumbai

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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

Diametral Quotient of Worm Gear Formula

Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module
q = d₁/m_axial

What is a worm gear?

A worm gear is a device consisting of a threaded shaft ( worm) that mates with a gearwheel (worm wheel) so that rotary motion can be transferred between two shafts at right angles to each other.

How to Calculate Diametral Quotient of Worm Gear?

Diametral Quotient of Worm Gear calculator uses Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module to calculate the Diametral Quotient, Diametral Quotient of Worm Gear is defined as the ratio of pitch circle diameter of worm to the axial module of the worm. Diametral Quotient is denoted by q symbol.

How to calculate Diametral Quotient of Worm Gear using this online calculator? To use this online calculator for Diametral Quotient of Worm Gear, enter Pitch Circle Diameter of Worm Gear (d₁) & Axial Module (m_axial) and hit the calculate button. Here is how the Diametral Quotient of Worm Gear calculation can be explained with given input values -> 12.5 = 0.05/0.004.

FAQ

What is Diametral Quotient of Worm Gear?

Diametral Quotient of Worm Gear is defined as the ratio of pitch circle diameter of worm to the axial module of the worm and is represented as q = d₁/m_axial or Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module. Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle & 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.

How to calculate Diametral Quotient of Worm Gear?

Diametral Quotient of Worm Gear is defined as the ratio of pitch circle diameter of worm to the axial module of the worm is calculated using Diametral Quotient = Pitch Circle Diameter of Worm Gear/Axial Module. To calculate Diametral Quotient of Worm Gear, you need Pitch Circle Diameter of Worm Gear (d₁) & Axial Module (m_axial). With our tool, you need to enter the respective value for Pitch Circle Diameter of Worm Gear & Axial Module and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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