Linear Velocity of Sprocket Calculator

↳

⤿

Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

⤿

Geometric Relationships for Chain

Power Rating of Roller Chains

Proportions of the Sprocket Wheel

✖Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket.ⓘ Pitch Circle Diameter of Sprocket [D]			+10% -10%
✖Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).ⓘ Speed of chain drive shaft in rpm [N]			+10% -10%

✖linear Velocity of Sprocket is the velocity of the speed in the linear direction, not its angular speed.ⓘ Linear Velocity of Sprocket [v_s]

⎘ Copy

👎

Formula

✖

Linear Velocity of Sprocket

Formula

`"v"_{"s"} = pi*"D"*"N"/60`

Example

`"2.879793m/s"=pi*"110mm"*"500"/60`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

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 velocity of the speed in the linear direction, not its angular speed.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket.
Speed of chain drive shaft in rpm - Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Sprocket: 110 Millimeter --> 0.11 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*0.11*500/60

Evaluating ... ...

v_s = 2.87979326579064

STEP 3: Convert Result to Output's Unit

2.87979326579064 Meter per Second --> No Conversion Required

FINAL ANSWER

2.87979326579064 ≈ 2.879793 Meter per Second <-- Linear Velocity of Sprocket

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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!

< 6 Polygonal Effect Calculators

Diameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket

Go 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))

Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket

Go 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))

Minimum Linear Velocity of Sprocket

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

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

Go Speed of chain drive shaft in rpm = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket)

Linear Velocity of Sprocket

Go Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60

Linear Velocity of Sprocket Formula

Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60
v_s = pi*D*N/60

Define Linear velocity?

Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.”

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, The Linear Velocity of Sprocket formula is defined as the measure of “the rate of change of displacement with respect to time when the object moves along a straight path". 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 -> 2.879793 = pi*0.11*500/60.

FAQ

What is Linear Velocity of Sprocket?

The Linear Velocity of Sprocket formula is defined as the measure of “the rate of change of displacement with respect to time when the object moves along a straight path" 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 pitch circle (passing through rollers centre) of the sprocket & Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).

How to calculate Linear Velocity of Sprocket?

The Linear Velocity of Sprocket formula is defined as the measure of “the rate of change of displacement with respect to time when the object moves along a straight path" 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.

Home

FREE PDFs

🔍 Search