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*dpitch 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*dpitch 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 Meter per Second <-- Velocity
(Calculation completed in 00.011 seconds)

Credits

Created by Ojas Kulkarni
Sardar Patel College of Engineering (SPCE), Mumbai
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Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur
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Pitchline Velocity of Meshing Gears Formula

Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
v = pi*dpitch 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 (dpitch 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*dpitch 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 (dpitch 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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