Pitch of chain given Average Chain Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch of Chain = Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM)
P = v*60/(z*N)
This formula uses 4 Variables
Variables Used
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
Average Chain Velocity - (Measured in Meter per Second) - Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system.
Number of Teeth on Sprocket - Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.
Speed of Chain Drive Shaft in RPM - Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.
STEP 1: Convert Input(s) to Base Unit
Average Chain Velocity: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required
Number of Teeth on Sprocket: 23 --> No Conversion Required
Speed of Chain Drive Shaft in RPM: 479.4626 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = v*60/(z*N) --> 4.2*60/(23*479.4626)
Evaluating ... ...
P = 0.0228516713068557
STEP 3: Convert Result to Output's Unit
0.0228516713068557 Meter -->22.8516713068557 Millimeter (Check conversion ​here)
FINAL ANSWER
22.8516713068557 22.85167 Millimeter <-- Pitch of Chain
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter
​ LaTeX ​ Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)
Number of Teeth on Sprocket given Pitch Circle Diameter
​ LaTeX ​ Go Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)
Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives
​ LaTeX ​ Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft
Velocity Ratio of Chain Drives
​ LaTeX ​ Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Pitch of chain given Average Chain Velocity Formula

​LaTeX ​Go
Pitch of Chain = Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM)
P = v*60/(z*N)

What is Chain Velocity?

Chain velocity is the speed at which the chain moves along the sprockets in a chain drive system. It is typically measured in meters per second or feet per second and depends on the rotational speed of the driving sprocket and the pitch diameter of the sprockets. Chain velocity is crucial for determining the efficiency and performance of the chain drive.

How to Calculate Pitch of chain given Average Chain Velocity?

Pitch of chain given Average Chain Velocity calculator uses Pitch of Chain = Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM) to calculate the Pitch of Chain, Pitch of chain given Average Chain Velocity formula is defined as a measure of the angle or inclination of a chain drive system, which is critical in determining the performance and efficiency of machinery and mechanical systems, particularly in power transmission and conveyor belt applications. Pitch of Chain is denoted by P symbol.

How to calculate Pitch of chain given Average Chain Velocity using this online calculator? To use this online calculator for Pitch of chain given Average Chain Velocity, enter Average Chain Velocity (v), Number of Teeth on Sprocket (z) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button. Here is how the Pitch of chain given Average Chain Velocity calculation can be explained with given input values -> 22851.67 = 4.2*60/(23*479.4626).

FAQ

What is Pitch of chain given Average Chain Velocity?
Pitch of chain given Average Chain Velocity formula is defined as a measure of the angle or inclination of a chain drive system, which is critical in determining the performance and efficiency of machinery and mechanical systems, particularly in power transmission and conveyor belt applications and is represented as P = v*60/(z*N) or Pitch of Chain = Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM). Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system, Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion & Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.
How to calculate Pitch of chain given Average Chain Velocity?
Pitch of chain given Average Chain Velocity formula is defined as a measure of the angle or inclination of a chain drive system, which is critical in determining the performance and efficiency of machinery and mechanical systems, particularly in power transmission and conveyor belt applications is calculated using Pitch of Chain = Average Chain Velocity*60/(Number of Teeth on Sprocket*Speed of Chain Drive Shaft in RPM). To calculate Pitch of chain given Average Chain Velocity, you need Average Chain Velocity (v), Number of Teeth on Sprocket (z) & Speed of Chain Drive Shaft in RPM (N). With our tool, you need to enter the respective value for Average Chain Velocity, Number of Teeth on Sprocket & Speed of Chain Drive Shaft in RPM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pitch of Chain?
In this formula, Pitch of Chain uses Average Chain Velocity, Number of Teeth on Sprocket & Speed of Chain Drive Shaft in RPM. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)
  • Pitch of Chain = Length of Chain/Number of Links in Chain
  • Pitch of Chain = (Minimum Tooth Height+Roller Radius of Chain)/0.5
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