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Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Formula

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Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system. Check FAQs

N = \frac{v \cdot 60}{π \cdot D}

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

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Example

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Here is how the Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity equation looks like with Values.

Here is how the Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity equation looks like with Units.

Here is how the Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity equation looks like.

479.4626 = \frac{4.2 \cdot 60}{3.1416 \cdot 167.3}

479.4626 = \frac{4.2m/s \cdot 60}{3.1416 \cdot 167.3mm}

479.4626 = \frac{4.2 \cdot 60}{3.1416 \cdot 167.3}

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Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Solution

Follow our step by step solution on how to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

FIRST Step Consider the formula

N = \frac{v \cdot 60}{π \cdot D}

Next Step Substitute values of Variables

∴

N = \frac{4.2m/s \cdot 60}{π \cdot 167.3mm}

Next Step Substitute values of Constants

∴

N = \frac{4.2m/s \cdot 60}{3.1416 \cdot 167.3mm}

Next Step Convert Units

∴

N = \frac{4.2m/s \cdot 60}{3.1416 \cdot 0.1673m}

Next Step Prepare to Evaluate

∴

N = \frac{4.2 \cdot 60}{3.1416 \cdot 0.1673}

Next Step Evaluate

∴

N = 479.462590067634

LAST Step Rounding Answer

∴

N = 479.4626

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Formula Elements

Variables

Constants

Speed of Chain Drive Shaft in RPM

Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed of Chain Drive Shaft in RPM

Average Chain Velocity

Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Chain Velocity

Pitch Circle Diameter of Sprocket

Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.

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 in Geometric Relationships for Chain category

Go Pitch of chain given Pitch Circle Diameter

P = D \cdot \sin (\frac{3.035}{z})

Go Number of Teeth on Sprocket given Pitch Circle Diameter

z = 180 \cdot a \sin (\frac{P}{D})

Go Velocity Ratio of Chain Drives

i = \frac{N 1}{N 2}

Go Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives

N 1 = i \cdot N 2

How to Evaluate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity evaluator uses Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket) to evaluate the Speed of Chain Drive Shaft in RPM, Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as a measure of the rotational speed of the driving and driven shafts in a mechanical system, which is critical in determining the efficiency and performance of the system, particularly in power transmission applications. Speed of Chain Drive Shaft in RPM is denoted by N symbol.

How to evaluate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity using this online evaluator? To use this online evaluator for Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity, enter Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D) and hit the calculate button.

FAQs on Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity

What is the formula to find Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

The formula of Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity is expressed as Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket). Here is an example- 479.4626 = (4.2*60)/(pi*0.1673).

How to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

With Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D) we can find Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity using the formula - Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket). This formula also uses Archimedes' constant .

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Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Formula

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Example

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Solution

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Formula Elements

Other formulas in Geometric Relationships for Chain category

How to Evaluate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

FAQs on Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity

Variable Name