Linear Velocity of Sprocket Calculator

✖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 Chain Drive Shaft in RPM [N]			+10% -10%

✖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]

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Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

Pitch Circle Diameter of Sprocket: 164.2479 Millimeter --> 0.1642479 Meter (Check conversion here)
Speed of Chain Drive Shaft in RPM: 500 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = pi*D*N/60 --> pi*0.1642479*500/60

Evaluating ... ...

v_s = 4.29999996672959

STEP 3: Convert Result to Output's Unit

4.29999996672959 Meter per Second --> No Conversion Required

FINAL ANSWER

4.29999996672959 ≈ 4.3 Meter per Second <-- Linear Velocity of Sprocket

(Calculation completed in 00.006 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Polygonal Effect » Linear Velocity of Sprocket

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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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Linear Velocity of Sprocket Formula

LaTeX Go

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

What is Linear velocity?

Linear velocity is the rate at which an object moves along a straight path or in a specific direction. It measures how quickly the position of the object changes with time and is typically expressed in units like meters per second or feet per second. Linear velocity is different from angular velocity, which pertains to rotational motion.

How to Calculate Linear Velocity of Sprocket?

Linear Velocity of Sprocket calculator uses Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60 to calculate the Linear Velocity of Sprocket, Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a sprocket, which is a critical component in mechanical systems, particularly in power transmission and conveyor belt systems, where it plays a vital role in determining the efficiency and performance of the entire system. Linear Velocity of Sprocket is denoted by v_s symbol.

How to calculate Linear Velocity of Sprocket using this online calculator? To use this online calculator for Linear Velocity of Sprocket, enter Pitch Circle Diameter of Sprocket (D) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button. Here is how the Linear Velocity of Sprocket calculation can be explained with given input values -> 4.299924 = pi*0.1642479*500/60.

FAQ

What is Linear Velocity of Sprocket?

Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a sprocket, which is a critical component in mechanical systems, particularly in power transmission and conveyor belt systems, where it plays a vital role in determining the efficiency and performance of the entire system and is represented as v_s = pi*D*N/60 or Linear Velocity of Sprocket = 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 centers of the sprocket's teeth & 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 Linear Velocity of Sprocket?

Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a sprocket, which is a critical component in mechanical systems, particularly in power transmission and conveyor belt systems, where it plays a vital role in determining the efficiency and performance of the entire system is calculated using Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60. To calculate Linear Velocity of Sprocket, 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.

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