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Rubbing speed of Worm Gear Formula

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Rubbing Speed of Worm Gear is the velocity of the worm gear tooth profile. Check FAQs

v = π \cdot d 1 \cdot \frac{N}{60 \cdot \cos (γ)}

v - Rubbing Speed of Worm Gear?d₁ - Pitch Circle Diameter of Worm Gear?N - Speed of Worm Gear?γ - Lead Angle of Worm?π - Archimedes' constant?

Rubbing speed of Worm Gear Example

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Here is how the Rubbing speed of Worm Gear equation looks like with Values.

Here is how the Rubbing speed of Worm Gear equation looks like with Units.

Here is how the Rubbing speed of Worm Gear equation looks like.

25.9055 = 3.1416 \cdot 50 \cdot \frac{160}{60 \cdot \cos (14.03)}

25.9055m/s = 3.1416 \cdot 50mm \cdot \frac{160rev/s}{60 \cdot \cos (14.03°)}

25.9055 = 3.1416 \cdot 50 \cdot \frac{160}{60 \cdot \cos (14.03)}

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Rubbing speed of Worm Gear Solution

Follow our step by step solution on how to calculate Rubbing speed of Worm Gear?

FIRST Step Consider the formula

v = π \cdot d 1 \cdot \frac{N}{60 \cdot \cos (γ)}

Next Step Substitute values of Variables

∴

v = π \cdot 50mm \cdot \frac{160rev/s}{60 \cdot \cos (14.03°)}

Next Step Substitute values of Constants

∴

v = 3.1416 \cdot 50mm \cdot \frac{160rev/s}{60 \cdot \cos (14.03°)}

Next Step Convert Units

∴

v = 3.1416 \cdot 0.05m \cdot \frac{9600rev/min}{60 \cdot \cos (0.2449rad)}

Next Step Prepare to Evaluate

∴

v = 3.1416 \cdot 0.05 \cdot \frac{9600}{60 \cdot \cos (0.2449)}

Next Step Evaluate

∴

v = 25.9055311152143m/s

LAST Step Rounding Answer

∴

v = 25.9055m/s

Rubbing speed of Worm Gear Formula Elements

Variables

Constants

Functions

Rubbing Speed of Worm Gear

Rubbing Speed of Worm Gear is the velocity of the worm gear tooth profile.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rubbing Speed of Worm Gear

Pitch Circle Diameter of Worm Gear

Pitch Circle Diameter of Worm Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Worm Gear

Speed of Worm Gear

Speed of Worm Gear is the number of turns of the rotation of the worm gear per unit time.

Symbol: N

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Speed of Worm Gear

Lead Angle of Worm

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.

Symbol: γ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Lead Angle of Worm

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Design of Worm Gears category

Go Diametral Quotient of Worm Gear

q = \frac{d 1}{m a}

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

l w = p x \cdot z 1

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

l w = π \cdot m a \cdot z 1

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

γ = a \tan (\frac{l w}{π \cdot d 1})

How to Evaluate Rubbing speed of Worm Gear?

Rubbing speed of Worm Gear evaluator uses Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)) to evaluate 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 evaluate Rubbing speed of Worm Gear using this online evaluator? To use this online evaluator 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.

FAQs on Rubbing speed of Worm Gear

What is the formula to find Rubbing speed of Worm Gear?

The formula of Rubbing speed of Worm Gear is expressed as Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)). Here is an example- 25.90553 = pi*0.05*1005.30964909754/(60*cos(0.244869694054758)).

How to calculate Rubbing speed of Worm Gear?

With Pitch Circle Diameter of Worm Gear (d₁), Speed of Worm Gear (N) & Lead Angle of Worm (γ) we can find Rubbing speed of Worm Gear using the formula - Rubbing Speed of Worm Gear = pi*Pitch Circle Diameter of Worm Gear*Speed of Worm Gear/(60*cos(Lead Angle of Worm)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Rubbing speed of Worm Gear be negative?

No, the Rubbing speed of Worm Gear, measured in Speed cannot be negative.

Which unit is used to measure Rubbing speed of Worm Gear?

Rubbing speed of Worm Gear is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Rubbing speed of Worm Gear can be measured.

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Rubbing speed of Worm Gear Formula

Rubbing speed of Worm Gear Example

Rubbing speed of Worm Gear Solution

Rubbing speed of Worm Gear Formula Elements

Other formulas in Design of Worm Gears category

How to Evaluate Rubbing speed of Worm Gear?

FAQs on Rubbing speed of Worm Gear

Variable Name