Speed of Rotation of Shaft 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%
✖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 [D]			+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 Rotation of Shaft given Linear Velocity of Sprocket [N]

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Speed of Rotation of Shaft given Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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
Pitch Circle Diameter of Sprocket: 164.2479 Millimeter --> 0.1642479 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = v_s*60/(pi*D) --> 4.3*60/(pi*0.1642479)

Evaluating ... ...

N = 500.000003868652

STEP 3: Convert Result to Output's Unit

500.000003868652 --> No Conversion Required

FINAL ANSWER

500.000003868652 ≈ 500 <-- Speed of Chain Drive Shaft in RPM

(Calculation completed in 00.004 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

Speed of Rotation of Shaft given Linear Velocity of Sprocket Formula

LaTeX Go

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

What is velocity of Sprocket?

The velocity of a sprocket refers to the rotational speed at which the sprocket turns. It is usually measured in revolutions per minute (RPM) or radians per second. The sprocket's velocity affects how quickly the chain or track connected to it moves, influencing the overall speed and performance of the mechanical system.

How to Calculate Speed of Rotation of Shaft given Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Linear Velocity of Sprocket calculator uses Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket) to calculate the Speed of Chain Drive Shaft in RPM, Speed of Rotation of Shaft given Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a shaft in revolutions per minute, which is essential in mechanical systems where sprockets and chains are used to transmit power and motion. Speed of Chain Drive Shaft in RPM is denoted by N symbol.

How to calculate Speed of Rotation of Shaft given Linear Velocity of Sprocket using this online calculator? To use this online calculator for Speed of Rotation of Shaft given Linear Velocity of Sprocket, enter Linear Velocity of Sprocket (v_s) & Pitch Circle Diameter of Sprocket (D) and hit the calculate button. Here is how the Speed of Rotation of Shaft given Linear Velocity of Sprocket calculation can be explained with given input values -> 500.0088 = 4.3*60/(pi*0.1642479).

FAQ

What is Speed of Rotation of Shaft given Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a shaft in revolutions per minute, which is essential in mechanical systems where sprockets and chains are used to transmit power and motion and is represented as N = v_s*60/(pi*D) or Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket). 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 & Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.

How to calculate Speed of Rotation of Shaft given Linear Velocity of Sprocket?

Speed of Rotation of Shaft given Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a shaft in revolutions per minute, which is essential in mechanical systems where sprockets and chains are used to transmit power and motion is calculated using Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket). To calculate Speed of Rotation of Shaft given Linear Velocity of Sprocket, you need Linear Velocity of Sprocket (v_s) & Pitch Circle Diameter of Sprocket (D). With our tool, you need to enter the respective value for Linear Velocity of Sprocket & Pitch Circle Diameter of Sprocket 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 Speed of Chain Drive Shaft in RPM?

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

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

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