FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Speed of Rotation of Shaft given Linear Velocity of Sprocket Formula

GoSpeed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Formula

Fx Copy

LaTeX Copy

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. Check FAQs

N = v s \cdot \frac{60}{π \cdot D}

N - Speed of Chain Drive Shaft in RPM?v_s - Linear Velocity of Sprocket?D - Pitch Circle Diameter of Sprocket?π - Archimedes' constant?

Speed of Rotation of Shaft given Linear Velocity of Sprocket Example

With values

With units

Only example

Here is how the Speed of Rotation of Shaft given Linear Velocity of Sprocket equation looks like with Values.

Here is how the Speed of Rotation of Shaft given Linear Velocity of Sprocket equation looks like with Units.

Here is how the Speed of Rotation of Shaft given Linear Velocity of Sprocket equation looks like.

500 = 4.3 \cdot \frac{60}{3.1416 \cdot 164.2479}

500 = 4.3m/s \cdot \frac{60}{3.1416 \cdot 164.2479mm}

500 = 4.3 \cdot \frac{60}{3.1416 \cdot 164.2479}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Speed of Rotation of Shaft given Linear Velocity of Sprocket

Speed of Rotation of Shaft given Linear Velocity of Sprocket Solution

Follow our step by step solution on how to calculate Speed of Rotation of Shaft given Linear Velocity of Sprocket?

FIRST Step Consider the formula

N = v s \cdot \frac{60}{π \cdot D}

Next Step Substitute values of Variables

∴

N = 4.3m/s \cdot \frac{60}{π \cdot 164.2479mm}

Next Step Substitute values of Constants

∴

N = 4.3m/s \cdot \frac{60}{3.1416 \cdot 164.2479mm}

Next Step Convert Units

∴

N = 4.3m/s \cdot \frac{60}{3.1416 \cdot 0.1642m}

Next Step Prepare to Evaluate

∴

N = 4.3 \cdot \frac{60}{3.1416 \cdot 0.1642}

Next Step Evaluate

∴

N = 500.000003868652

LAST Step Rounding Answer

∴

N = 500

Speed of Rotation of Shaft given Linear Velocity of Sprocket Formula Elements

Variables

Constants

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed of Chain Drive Shaft in RPM

Linear Velocity 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.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Linear Velocity of Sprocket

Pitch Circle Diameter of Sprocket

Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Sprocket

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Speed of Chain Drive Shaft in RPM

Go Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket

N = 60 \cdot \frac{v min}{D \cdot π \cdot \cos (\frac{α}{2})}

Other formulas in Polygonal Effect category

Go Linear Velocity of Sprocket

v s = π \cdot D \cdot \frac{N}{60}

Go Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

D = v s \cdot \frac{60}{π \cdot N}

Go Minimum Linear Velocity of Sprocket

v min = π \cdot D \cdot N \cdot \frac{\cos (\frac{α}{2})}{60}

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

D = v min \cdot \frac{60}{π \cdot N \cdot \cos (\frac{α}{2})}

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

Speed of Rotation of Shaft given Linear Velocity of Sprocket evaluator uses Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket) to evaluate 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 evaluate Speed of Rotation of Shaft given Linear Velocity of Sprocket using this online evaluator? To use this online evaluator 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.

FAQs on Speed of Rotation of Shaft given Linear Velocity of Sprocket

What is the formula to find Speed of Rotation of Shaft given Linear Velocity of Sprocket?

The formula of Speed of Rotation of Shaft given Linear Velocity of Sprocket is expressed as Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket). Here is an example- 500.0088 = 4.3*60/(pi*0.1642479).

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

With Linear Velocity of Sprocket (v_s) & Pitch Circle Diameter of Sprocket (D) we can find Speed of Rotation of Shaft given Linear Velocity of Sprocket using the formula - Speed of Chain Drive Shaft in RPM = Linear Velocity of Sprocket*60/(pi*Pitch Circle Diameter of Sprocket). This formula also uses Archimedes' constant .

What are the other ways to Calculate Speed of Chain Drive Shaft in RPM?

Here are the different ways to Calculate Speed of Chain Drive Shaft in RPM-

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))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Speed of Rotation of Shaft given Linear Velocity of Sprocket Formula

​GoSpeed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Formula

Speed of Rotation of Shaft given Linear Velocity of Sprocket Example

Speed of Rotation of Shaft given Linear Velocity of Sprocket Solution

Speed of Rotation of Shaft given Linear Velocity of Sprocket Formula Elements

Other Formulas to find Speed of Chain Drive Shaft in RPM

Other formulas in Polygonal Effect category

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

FAQs on Speed of Rotation of Shaft given Linear Velocity of Sprocket

Variable Name

GoSpeed of Rotation of Shaft given Minimum Linear Velocity of Sprocket Formula