Pitchline Velocity of Meshing Gears Calculator

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Design of Gears

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✖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.ⓘ Diameter of Pitch Circle [D_{pitch circle}]			+10% -10%
✖Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).ⓘ Speed in RPM [N]			+10% -10%

✖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.ⓘ Pitchline Velocity of Meshing Gears [v]

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Formula

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Pitchline Velocity of Meshing Gears

Formula

`"v" = pi*"D"_{"pitch circle"}*"N"/60`

Example

`"0.336936m/s"=pi*"110mm"*"58.5"/60`

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Download Design of Spur Gears Formulas PDF

Pitchline Velocity of Meshing Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
v = pi*D_{pitch circle}*N/60
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity - (Measured in Meter per Second) - 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.
Diameter of Pitch Circle - (Measured in Meter) - 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.
Speed in RPM - Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

STEP 1: Convert Input(s) to Base Unit

Diameter of Pitch Circle: 110 Millimeter --> 0.11 Meter (Check conversion here)
Speed in RPM: 58.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = pi*D_{pitch circle}*N/60 --> pi*0.11*58.5/60

Evaluating ... ...

v = 0.336935812097505

STEP 3: Convert Result to Output's Unit

0.336935812097505 Meter per Second --> No Conversion Required

FINAL ANSWER

0.336935812097505 ≈ 0.336936 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Pitchline Velocity of Meshing Gears

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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 Vishal Anand

Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

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

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

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Pitchline Velocity of Meshing Gears Formula

Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
v = pi*D_{pitch circle}*N/60

What is the pitch point?

The point where the pitch circles of meshing gears touch each other is known as the pitch point. This is the point where force calculations are also done.

How to Calculate Pitchline Velocity of Meshing Gears?

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

How to calculate Pitchline Velocity of Meshing Gears using this online calculator? To use this online calculator for Pitchline Velocity of Meshing Gears, enter Diameter of Pitch Circle (D_{pitch circle}) & Speed in RPM (N) and hit the calculate button. Here is how the Pitchline Velocity of Meshing Gears calculation can be explained with given input values -> 0.336936 = pi*0.11*58.5/60.

FAQ

What is Pitchline Velocity of Meshing Gears?

The Pitchline Velocity of Meshing Gears formula is defined as the velocity of gear tooth at pitch point and is represented as v = pi*D_{pitch circle}*N/60 or Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60. 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 & Speed in RPM is the number of turns of the object divided by time, specified as revolutions per minute (rpm).

How to calculate Pitchline Velocity of Meshing Gears?

The Pitchline Velocity of Meshing Gears formula is defined as the velocity of gear tooth at pitch point is calculated using Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60. To calculate Pitchline Velocity of Meshing Gears, you need Diameter of Pitch Circle (D_{pitch circle}) & Speed in RPM (N). With our tool, you need to enter the respective value for Diameter of Pitch Circle & Speed in RPM 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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