Pitch Line Velocity of Gear Calculator

✖Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Spur Gear [d]			+10% -10%
✖Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).ⓘ Speed of Spur Gear [n_g]			+10% -10%

✖The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.ⓘ Pitch Line Velocity of Gear [v]

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Pitch Line Velocity of Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear
v = pi*d*n_g
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pitch Line Velocity of Spur Gear - (Measured in Meter per Second) - The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.
Pitch Circle Diameter of Spur Gear - (Measured in Meter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Speed of Spur Gear - (Measured in Radian per Second) - Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)
Speed of Spur Gear: 10 Radian per Second --> 10 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = pi*d*n_g --> pi*0.118*10

Evaluating ... ...

v = 3.70707933123596

STEP 3: Convert Result to Output's Unit

3.70707933123596 Meter per Second --> No Conversion Required

FINAL ANSWER

3.70707933123596 ≈ 3.707079 Meter per Second <-- Pitch Line Velocity of Spur Gear

(Calculation completed in 00.020 seconds)

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Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Dynamics of Spur Gear Calculators

Radial Force of Gear given Tangential Force and Pressure Angle

LaTeX Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

LaTeX Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

LaTeX Go Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Tangential Force on Gear given Torque and Pitch Circle Diameter

LaTeX Go Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear

Pitch Line Velocity of Gear Formula

LaTeX Go

Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear
v = pi*d*n_g

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Pitch Line Velocity of Gear?

Pitch Line Velocity of Gear calculator uses Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear to calculate 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 calculate Pitch Line Velocity of Gear using this online calculator? To use this online calculator 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. Here is how the Pitch Line Velocity of Gear calculation can be explained with given input values -> 3.707079 = pi*0.118*10.

FAQ

What is Pitch Line Velocity of 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 and is represented as v = pi*d*n_g or Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed 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 & Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

How to calculate Pitch Line Velocity of 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 is calculated using Pitch Line Velocity of Spur Gear = pi*Pitch Circle Diameter of Spur Gear*Speed of Spur Gear. To calculate Pitch Line Velocity of Gear, you need Pitch Circle Diameter of Spur Gear (d) & Speed of Spur Gear (n_g). With our tool, you need to enter the respective value for Pitch Circle Diameter of Spur Gear & Speed of Spur Gear 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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