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Pitch Line Velocity of Gear Formula

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The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear. Check FAQs

v = π \cdot d \cdot n g

v - Pitch Line Velocity of Spur Gear?d - Pitch Circle Diameter of Spur Gear?n_g - Speed of Spur Gear?π - Archimedes' constant?

Pitch Line Velocity of Gear Example

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Here is how the Pitch Line Velocity of Gear equation looks like with Values.

Here is how the Pitch Line Velocity of Gear equation looks like with Units.

Here is how the Pitch Line Velocity of Gear equation looks like.

3.7071 = 3.1416 \cdot 118 \cdot 10

3.7071m/s = 3.1416 \cdot 118mm \cdot 10rad/s

3.7071 = 3.1416 \cdot 118 \cdot 10

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Pitch Line Velocity of Gear Solution

Follow our step by step solution on how to calculate Pitch Line Velocity of Gear?

FIRST Step Consider the formula

v = π \cdot d \cdot n g

Next Step Substitute values of Variables

∴

v = π \cdot 118mm \cdot 10rad/s

Next Step Substitute values of Constants

∴

v = 3.1416 \cdot 118mm \cdot 10rad/s

Next Step Convert Units

∴

v = 3.1416 \cdot 0.118m \cdot 10rad/s

Next Step Prepare to Evaluate

∴

v = 3.1416 \cdot 0.118 \cdot 10

Next Step Evaluate

∴

v = 3.70707933123596m/s

LAST Step Rounding Answer

∴

v = 3.7071m/s

Pitch Line Velocity of Gear Formula Elements

Variables

Constants

Pitch Line Velocity of Spur Gear

The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Pitch Line Velocity of Spur Gear

Pitch Circle Diameter of Spur Gear

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

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Spur Gear

Speed of Spur Gear

Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

Symbol: n_g

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Speed of Spur Gear

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

Other formulas in Dynamics of Spur Gear category

Go Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

M t = P t \cdot \frac{d}{2}

Go Tangential Force on Gear given Torque and Pitch Circle Diameter

P t = 2 \cdot \frac{M t}{d}

Go Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

How to Evaluate Pitch Line Velocity of Gear?

Pitch Line Velocity of Gear evaluator uses Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear to evaluate the Pitch Line Velocity of Spur Gear, Pitch line velocity of Gear is defined as the velocity of any point on the pitch circle of gear. It depends on the speed of gear rotation and diametral pitch. Pitch Line Velocity of Spur Gear is denoted by v symbol.

How to evaluate Pitch Line Velocity of Gear using this online evaluator? To use this online evaluator for Pitch Line Velocity of Gear, enter Pitch Circle Diameter of Spur Gear (d) & Speed of Spur Gear (n_g) and hit the calculate button.

FAQs on Pitch Line Velocity of Gear

What is the formula to find Pitch Line Velocity of Gear?

The formula of Pitch Line Velocity of Gear is expressed as Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear. Here is an example- 3.707079 = pi*0.118*10.

How to calculate Pitch Line Velocity of Gear?

With Pitch Circle Diameter of Spur Gear (d) & Speed of Spur Gear (n_g) we can find Pitch Line Velocity of Gear using the formula - Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear. This formula also uses Archimedes' constant .

Can the Pitch Line Velocity of Gear be negative?

No, the Pitch Line Velocity of Gear, measured in Speed cannot be negative.

Which unit is used to measure Pitch Line Velocity of Gear?

Pitch Line Velocity of 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 Pitch Line Velocity of Gear can be measured.

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Pitch Line Velocity of Gear Formula

Pitch Line Velocity of Gear Example

Pitch Line Velocity of Gear Solution

Pitch Line Velocity of Gear Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Pitch Line Velocity of Gear?

FAQs on Pitch Line Velocity of Gear

Variable Name