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Pitch Circle Diameter given Average Velocity of Chain Formula

GoPitch Circle Diameter given Pitch Formula

GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

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Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth. Check FAQs

D s = v \cdot \frac{60}{π \cdot N}

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

Pitch Circle Diameter given Average Velocity of Chain Example

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With units

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Here is how the Pitch Circle Diameter given Average Velocity of Chain equation looks like with Values.

Here is how the Pitch Circle Diameter given Average Velocity of Chain equation looks like with Units.

Here is how the Pitch Circle Diameter given Average Velocity of Chain equation looks like.

131.0132 = 403 \cdot \frac{60}{3.1416 \cdot 561}

131.0132mm = 403mm/s \cdot \frac{60}{3.1416 \cdot 561rev/min}

131.0132 = 403 \cdot \frac{60}{3.1416 \cdot 561}

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Pitch Circle Diameter given Average Velocity of Chain Solution

Follow our step by step solution on how to calculate Pitch Circle Diameter given Average Velocity of Chain?

FIRST Step Consider the formula

D s = v \cdot \frac{60}{π \cdot N}

Next Step Substitute values of Variables

∴

D s = 403mm/s \cdot \frac{60}{π \cdot 561rev/min}

Next Step Substitute values of Constants

∴

D s = 403mm/s \cdot \frac{60}{3.1416 \cdot 561rev/min}

Next Step Convert Units

∴

D s = 0.403m/s \cdot \frac{60}{3.1416 \cdot 58.7478rad/s}

Next Step Prepare to Evaluate

∴

D s = 0.403 \cdot \frac{60}{3.1416 \cdot 58.7478}

Next Step Evaluate

∴

D s = 0.131013166876817m

Next Step Convert to Output's Unit

∴

D s = 131.013166876817mm

LAST Step Rounding Answer

∴

D s = 131.0132mm

Pitch Circle Diameter given Average Velocity of Chain Formula Elements

Variables

Constants

Sproket Diameter of Pitch Circle

Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.

Symbol: D_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sproket Diameter of Pitch Circle

Average Chain Velocity

Average Chain Velocity is the velocity of the chain as it wraps around the sprocket wheel, affecting the overall efficiency of the mechanical system.

Symbol: v

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Average Chain Velocity

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 sprocket wheel in a mechanical system.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Chain Drive Shaft in RPM

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 Sproket Diameter of Pitch Circle

Go Pitch Circle Diameter given Pitch

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

Go Pitch Circle Diameter given Top Diameter of Sprocket Wheel

D s = d a - P \cdot (1 - (\frac{1.6}{z})) + 2 \cdot R

Go Pitch Circle Diameter given Root Diameter of Sprocket Wheel

D s = D f + 2 \cdot r i

Other formulas in Proportions of the Sprocket Wheel category

Go Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

z = \frac{360}{α \cdot (\frac{180}{π})}

Go Top Diameter of Sprocket Wheel

d a = D s + P \cdot (1 - (\frac{1.6}{z})) - 2 \cdot R

Go Root Diameter of Sprocket Wheel

D f = D s - 2 \cdot r i

How to Evaluate Pitch Circle Diameter given Average Velocity of Chain?

Pitch Circle Diameter given Average Velocity of Chain evaluator uses Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM) to evaluate the Sproket Diameter of Pitch Circle, Pitch Circle Diameter given Average Velocity of Chain formula is defined as a measure of the diameter of the pitch circle of a chain wheel, which is a critical parameter in the design and operation of chain drives, and is influenced by the average velocity of the chain and the number of teeth on the sprocket. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to evaluate Pitch Circle Diameter given Average Velocity of Chain using this online evaluator? To use this online evaluator for Pitch Circle Diameter given Average Velocity of Chain, enter Average Chain Velocity (v) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button.

FAQs on Pitch Circle Diameter given Average Velocity of Chain

What is the formula to find Pitch Circle Diameter given Average Velocity of Chain?

The formula of Pitch Circle Diameter given Average Velocity of Chain is expressed as Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM). Here is an example- 131338.3 = 0.403*60/(pi*58.7477826191375).

How to calculate Pitch Circle Diameter given Average Velocity of Chain?

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

What are the other ways to Calculate Sproket Diameter of Pitch Circle?

Here are the different ways to Calculate Sproket Diameter of Pitch Circle-

Sproket Diameter of Pitch Circle=Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)
Sproket Diameter of Pitch Circle=Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of Teeth on Sprocket))+2*Roller Radius of Chain
Sproket Diameter of Pitch Circle=Root Diameter of Sprocket Wheel+2*Roller Seating Radius

Can the Pitch Circle Diameter given Average Velocity of Chain be negative?

No, the Pitch Circle Diameter given Average Velocity of Chain, measured in Length cannot be negative.

Which unit is used to measure Pitch Circle Diameter given Average Velocity of Chain?

Pitch Circle Diameter given Average Velocity of Chain is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Circle Diameter given Average Velocity of Chain can be measured.

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Pitch Circle Diameter given Average Velocity of Chain Formula

​GoPitch Circle Diameter given Pitch Formula

​GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

Pitch Circle Diameter given Average Velocity of Chain Example

Pitch Circle Diameter given Average Velocity of Chain Solution

Pitch Circle Diameter given Average Velocity of Chain Formula Elements

Other Formulas to find Sproket Diameter of Pitch Circle

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Pitch Circle Diameter given Average Velocity of Chain?

FAQs on Pitch Circle Diameter given Average Velocity of Chain

Variable Name

GoPitch Circle Diameter given Pitch Formula

GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula