Minimum Linear Velocity of Sprocket Calculator

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Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

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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%
✖The Pitch Angle of Sprocket is generally the angle subtended by a small line called pitch. It is generally used in sprockets.ⓘ Pitch Angle of Sprocket [α]			+10% -10%

✖The Minimum Linear Velocity of Sprocket is defined as the lowest possible velocity of the sprocket when it is moving.ⓘ Minimum Linear Velocity of Sprocket [v_min]

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Formula

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Minimum Linear Velocity of Sprocket

Formula

`"v"_{"min"} = pi*"D"*"N"*cos("α"/2)/60`

Example

`"2.844338m/s"=pi*"110mm"*"500"*cos("18°"/2)/60`

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Download Design of Automobile Elements Formula PDF

Minimum Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
v_min = pi*D*N*cos(α/2)/60
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Minimum Linear Velocity of Sprocket - (Measured in Meter per Second) - The Minimum Linear Velocity of Sprocket is defined as the lowest possible velocity of the sprocket when it is moving.
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).
Pitch Angle of Sprocket - (Measured in Radian) - The Pitch Angle of Sprocket is generally the angle subtended by a small line called pitch. It is generally used in sprockets.

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
Pitch Angle of Sprocket: 18 Degree --> 0.31415926535892 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_min = pi*D*N*cos(α/2)/60 --> pi*0.11*500*cos(0.31415926535892/2)/60

Evaluating ... ...

v_min = 2.84433823194583

STEP 3: Convert Result to Output's Unit

2.84433823194583 Meter per Second --> No Conversion Required

FINAL ANSWER

2.84433823194583 ≈ 2.844338 Meter per Second <-- Minimum Linear Velocity of Sprocket

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 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

Minimum Linear Velocity of Sprocket Formula

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
v_min = pi*D*N*cos(α/2)/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 Minimum Linear Velocity of Sprocket?

Minimum Linear Velocity of Sprocket calculator uses 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 to calculate the Minimum Linear Velocity of Sprocket, The Minimum Linear Velocity of Sprocket formula is defined as the lowest velocity of the object at the given considerations. Minimum Linear Velocity of Sprocket is denoted by v_min symbol.

How to calculate Minimum Linear Velocity of Sprocket using this online calculator? To use this online calculator for Minimum Linear Velocity of Sprocket, enter Pitch Circle Diameter of Sprocket (D), Speed of chain drive shaft in rpm (N) & Pitch Angle of Sprocket (α) and hit the calculate button. Here is how the Minimum Linear Velocity of Sprocket calculation can be explained with given input values -> 2.844338 = pi*0.11*500*cos(0.31415926535892/2)/60.

FAQ

What is Minimum Linear Velocity of Sprocket?

The Minimum Linear Velocity of Sprocket formula is defined as the lowest velocity of the object at the given considerations and is represented as v_min = pi*D*N*cos(α/2)/60 or 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 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) & The Pitch Angle of Sprocket is generally the angle subtended by a small line called pitch. It is generally used in sprockets.

How to calculate Minimum Linear Velocity of Sprocket?

The Minimum Linear Velocity of Sprocket formula is defined as the lowest velocity of the object at the given considerations is calculated using 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. To calculate Minimum Linear Velocity of Sprocket, you need Pitch Circle Diameter of Sprocket (D), Speed of chain drive shaft in rpm (N) & Pitch Angle of Sprocket (α). With our tool, you need to enter the respective value for Pitch Circle Diameter of Sprocket, Speed of chain drive shaft in rpm & Pitch Angle of Sprocket 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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