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Pitchline Velocity of Meshing Gears Formula

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Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time. Check FAQs

ν = π \cdot D c \cdot \frac{N}{60}

ν - Velocity?D_c - Diameter of Pitch Circle?N - Speed in RPM?π - Archimedes' constant?

Pitchline Velocity of Meshing Gears Example

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Here is how the Pitchline Velocity of Meshing Gears equation looks like with Values.

Here is how the Pitchline Velocity of Meshing Gears equation looks like with Units.

Here is how the Pitchline Velocity of Meshing Gears equation looks like.

0.3369 = 3.1416 \cdot 110 \cdot \frac{58.5}{60}

0.3369m/s = 3.1416 \cdot 110mm \cdot \frac{58.5}{60}

0.3369 = 3.1416 \cdot 110 \cdot \frac{58.5}{60}

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Pitchline Velocity of Meshing Gears Solution

Follow our step by step solution on how to calculate Pitchline Velocity of Meshing Gears?

FIRST Step Consider the formula

ν = π \cdot D c \cdot \frac{N}{60}

Next Step Substitute values of Variables

∴

ν = π \cdot 110mm \cdot \frac{58.5}{60}

Next Step Substitute values of Constants

∴

ν = 3.1416 \cdot 110mm \cdot \frac{58.5}{60}

Next Step Convert Units

∴

ν = 3.1416 \cdot 0.11m \cdot \frac{58.5}{60}

Next Step Prepare to Evaluate

∴

ν = 3.1416 \cdot 0.11 \cdot \frac{58.5}{60}

Next Step Evaluate

∴

ν = 0.336935812097505m/s

LAST Step Rounding Answer

∴

ν = 0.3369m/s

Pitchline Velocity of Meshing Gears Formula Elements

Variables

Constants

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: ν

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

Diameter of Pitch Circle

The Diameter of Pitch Circle of gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

Symbol: D_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Pitch Circle

Speed in RPM

Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed in RPM

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 Pitchline Velocity of Meshing Gears?

Pitchline Velocity of Meshing Gears evaluator uses Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60 to evaluate the Velocity, The Pitchline Velocity of Meshing Gears formula is defined as the velocity of gear tooth at pitch point. Velocity is denoted by ν symbol.

How to evaluate Pitchline Velocity of Meshing Gears using this online evaluator? To use this online evaluator for Pitchline Velocity of Meshing Gears, enter Diameter of Pitch Circle (D_c) & Speed in RPM (N) and hit the calculate button.

FAQs on Pitchline Velocity of Meshing Gears

What is the formula to find Pitchline Velocity of Meshing Gears?

The formula of Pitchline Velocity of Meshing Gears is expressed as Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60. Here is an example- 0.336936 = pi*0.11*58.5/60.

How to calculate Pitchline Velocity of Meshing Gears?

With Diameter of Pitch Circle (D_c) & Speed in RPM (N) we can find Pitchline Velocity of Meshing Gears using the formula - Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60. This formula also uses Archimedes' constant .

Can the Pitchline Velocity of Meshing Gears be negative?

No, the Pitchline Velocity of Meshing Gears, measured in Speed cannot be negative.

Which unit is used to measure Pitchline Velocity of Meshing Gears?

Pitchline Velocity of Meshing Gears 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 Pitchline Velocity of Meshing Gears can be measured.

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Pitchline Velocity of Meshing Gears Formula

Pitchline Velocity of Meshing Gears Example

Pitchline Velocity of Meshing Gears Solution

Pitchline Velocity of Meshing Gears Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Pitchline Velocity of Meshing Gears?

FAQs on Pitchline Velocity of Meshing Gears

Variable Name