Rubbing speed of Worm Gear Calculator

✖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%
✖Speed of Worm Gear is the number of turns of the rotation of the worm gear per unit time.ⓘ Speed of Worm Gear [N]			+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 [γ]			+10% -10%

✖Rubbing Speed of Worm Gear is the velocity of the worm gear tooth profile.ⓘ Rubbing speed of Worm Gear [v]

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Rubbing speed of Worm Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm))
v = pi*d₁*N/(60*cos(γ))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Rubbing Speed of Worm Gear - (Measured in Meter per Second) - Rubbing Speed of Worm Gear is the velocity of the worm gear tooth profile.
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.
Speed of Worm Gear - (Measured in Revolution per Minute) - Speed of Worm Gear is the number of turns of the rotation of the worm gear per unit time.
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.

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Worm Gear: 50 Millimeter --> 0.05 Meter (Check conversion here)
Speed of Worm Gear: 160 Revolution per Second --> 9600 Revolution per Minute (Check conversion here)
Lead Angle of Worm: 14.03 Degree --> 0.244869694054758 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = pi*d₁*N/(60*cos(γ)) --> pi*0.05*9600/(60*cos(0.244869694054758))

Evaluating ... ...

v = 25.9055311152143

STEP 3: Convert Result to Output's Unit

25.9055311152143 Meter per Second --> No Conversion Required

FINAL ANSWER

25.9055311152143 ≈ 25.90553 Meter per Second <-- Rubbing Speed of Worm Gear

(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 Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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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

Rubbing speed of Worm Gear Formula

LaTeX Go

Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm))
v = pi*d₁*N/(60*cos(γ))

Why coefficient of friction varies with rubbing velocity of worm gear?

The friction coefficient between gear teeth depends mostly on lubricant properties, and it decreases as the relative sliding velocity between gear teeth increases.

How to Calculate Rubbing speed of Worm Gear?

Rubbing speed of Worm Gear calculator uses Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)) to calculate the Rubbing Speed of Worm Gear, Rubbing speed of Worm Gear formula is defined as the speed at the pitch point of worm and worm wheel. Rubbing Speed of Worm Gear is denoted by v symbol.

How to calculate Rubbing speed of Worm Gear using this online calculator? To use this online calculator for Rubbing speed of Worm Gear, enter Pitch Circle Diameter of Worm Gear (d₁), Speed of Worm Gear (N) & Lead Angle of Worm (γ) and hit the calculate button. Here is how the Rubbing speed of Worm Gear calculation can be explained with given input values -> 25.90553 = pi*0.05*1005.30964909754/(60*cos(0.244869694054758)).

FAQ

What is Rubbing speed of Worm Gear?

Rubbing speed of Worm Gear formula is defined as the speed at the pitch point of worm and worm wheel and is represented as v = pi*d₁*N/(60*cos(γ)) or Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)). Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle, Speed of Worm Gear is the number of turns of the rotation of the worm gear per unit time & 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.

How to calculate Rubbing speed of Worm Gear?

Rubbing speed of Worm Gear formula is defined as the speed at the pitch point of worm and worm wheel is calculated using Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)). To calculate Rubbing speed of Worm Gear, you need Pitch Circle Diameter of Worm Gear (d₁), Speed of Worm Gear (N) & Lead Angle of Worm (γ). With our tool, you need to enter the respective value for Pitch Circle Diameter of Worm Gear, Speed of Worm Gear & Lead Angle of Worm 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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