Average Velocity of Chain Calculator

✖Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.ⓘ Pitch Circle Diameter of Sprocket [D]			+10% -10%
✖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.ⓘ Speed of Chain Drive Shaft in RPM [N]			+10% -10%

✖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.ⓘ Average Velocity of Chain [v]

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Formula

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Average Velocity of Chain

Formula

v = π \cdot D \cdot \frac{N}{60}

Example

4.2 m/s = π \cdot 167.3 mm \cdot \frac{479.4626}{60}

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Average Velocity of Chain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60
v = pi*D*N/60
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.
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

Pitch Circle Diameter of Sprocket: 167.3 Millimeter --> 0.1673 Meter (Check conversion here)
Speed of Chain Drive Shaft in RPM: 479.4626 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = pi*D*N/60 --> pi*0.1673*479.4626/60

Evaluating ... ...

v = 4.20000008700561

STEP 3: Convert Result to Output's Unit

4.20000008700561 Meter per Second --> No Conversion Required

FINAL ANSWER

4.20000008700561 ≈ 4.2 Meter per Second <-- Average Chain Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Geometric Relationships for Chain » Average Velocity of Chain

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter

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

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

Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft

Velocity Ratio of Chain Drives

Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Average Velocity of Chain Formula

Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60
v = pi*D*N/60

What is Sprocket?

A sprocket is a wheel with teeth or cogs that mesh with a chain, track, or other perforated or indented material. It is commonly used in machinery and vehicles to transmit rotary motion and force between two shafts or to move a track or chain over a distance. Sprockets are essential components in bicycles, motorcycles, and various mechanical systems.

How to Calculate Average Velocity of Chain?

Average Velocity of Chain calculator uses Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60 to calculate the Average Chain Velocity, Average Velocity of Chain formula is defined as a measure of the average speed of a chain moving in a conveyor system, which is critical in determining the efficiency and productivity of various industrial processes, including manufacturing, logistics, and material handling. Average Chain Velocity is denoted by v symbol.

How to calculate Average Velocity of Chain using this online calculator? To use this online calculator for Average Velocity of Chain, enter Pitch Circle Diameter of Sprocket (D) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button. Here is how the Average Velocity of Chain calculation can be explained with given input values -> 4.258668 = pi*0.1673*479.4626/60.

FAQ

What is Average Velocity of Chain?

Average Velocity of Chain formula is defined as a measure of the average speed of a chain moving in a conveyor system, which is critical in determining the efficiency and productivity of various industrial processes, including manufacturing, logistics, and material handling and is represented as v = pi*D*N/60 or Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60. Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system & 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 Average Velocity of Chain?

Average Velocity of Chain formula is defined as a measure of the average speed of a chain moving in a conveyor system, which is critical in determining the efficiency and productivity of various industrial processes, including manufacturing, logistics, and material handling is calculated using Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60. To calculate Average Velocity of Chain, you need Pitch Circle Diameter of Sprocket (D) & Speed of Chain Drive Shaft in RPM (N). With our tool, you need to enter the respective value for Pitch Circle Diameter of 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 Average Chain Velocity?

In this formula, Average Chain Velocity uses Pitch Circle Diameter of Sprocket & Speed of Chain Drive Shaft in RPM. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Chain Velocity = Number of Teeth on Sprocket*Pitch of Chain*Speed of Chain Drive Shaft in RPM/60

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