Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Calculator

✖Linear Velocity of Sprocket is the speed at which a point on the sprocket's circumference moves. It is determined by the sprocket's rotational speed and radius.ⓘ Linear Velocity of Sprocket [v_s]			+10% -10%
✖Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.ⓘ Speed of Chain Drive Shaft in RPM [N]			+10% -10%

✖Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.ⓘ Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket [D]

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Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.
Linear Velocity of Sprocket - (Measured in Meter per Second) - Linear Velocity of Sprocket is the speed at which a point on the sprocket's circumference moves. It is determined by the sprocket's rotational speed and radius.
Speed of Chain Drive Shaft in RPM - Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.

STEP 1: Convert Input(s) to Base Unit

Linear Velocity of Sprocket: 4.3 Meter per Second --> 4.3 Meter per Second No Conversion Required
Speed of Chain Drive Shaft in RPM: 500 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = v_s*60/(pi*N) --> 4.3*60/(pi*500)

Evaluating ... ...

D = 0.164247901270836

STEP 3: Convert Result to Output's Unit

0.164247901270836 Meter -->164.247901270836 Millimeter (Check conversion here)

FINAL ANSWER

164.247901270836 ≈ 164.2479 Millimeter <-- Pitch Circle Diameter of Sprocket

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Polygonal Effect Calculators

Minimum Linear Velocity of Sprocket

LaTeX Go Minimum Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM*cos(Pitch Angle of Sprocket/2)/60

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

LaTeX Go Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM)

Speed of Rotation of Shaft given Linear Velocity of Sprocket

LaTeX Go Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket)

Linear Velocity of Sprocket

LaTeX Go Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula

LaTeX Go

Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM)
D = v_s*60/(pi*N)

What is Pitch Circle Diameter of a Sprocket?

The pitch circle diameter of a sprocket is the diameter of the circle on which the chain's rollers or links engage with the sprocket's teeth. It is an important measurement for ensuring proper alignment and fit between the sprocket and the chain, affecting the efficiency and smoothness of the power transmission.

How to Calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket calculator uses Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM) to calculate the Pitch Circle Diameter of Sprocket, Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where the sprocket teeth make contact, which is essential in designing and optimizing the performance of chain drives and sprockets in mechanical systems. Pitch Circle Diameter of Sprocket is denoted by D symbol.

How to calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket using this online calculator? To use this online calculator for Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket, enter Linear Velocity of Sprocket (v_s) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button. Here is how the Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket calculation can be explained with given input values -> 164247.9 = 4.3*60/(pi*500).

FAQ

What is Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where the sprocket teeth make contact, which is essential in designing and optimizing the performance of chain drives and sprockets in mechanical systems and is represented as D = v_s*60/(pi*N) or Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM). Linear Velocity of Sprocket is the speed at which a point on the sprocket's circumference moves. It is determined by the sprocket's rotational speed and radius & Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.

How to calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where the sprocket teeth make contact, which is essential in designing and optimizing the performance of chain drives and sprockets in mechanical systems is calculated using Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM). To calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket, you need Linear Velocity of Sprocket (v_s) & Speed of Chain Drive Shaft in RPM (N). With our tool, you need to enter the respective value for Linear Velocity 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 Pitch Circle Diameter of Sprocket?

In this formula, Pitch Circle Diameter of Sprocket uses Linear Velocity 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 -

Pitch Circle Diameter of Sprocket = Minimum Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM*cos(Pitch Angle of Sprocket/2))

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