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Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula

GoDiameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket Formula

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

D = v s \cdot \frac{60}{π \cdot N}

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

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Example

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

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

Here is how the Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket equation looks like.

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

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

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

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Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Solution

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

FIRST Step Consider the formula

D = v s \cdot \frac{60}{π \cdot N}

Next Step Substitute values of Variables

∴

D = 4.3m/s \cdot \frac{60}{π \cdot 500}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

D = 0.164247901270836m

Next Step Convert to Output's Unit

∴

D = 164.247901270836mm

LAST Step Rounding Answer

∴

D = 164.2479mm

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula Elements

Variables

Constants

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

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

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

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 Pitch Circle Diameter of Sprocket

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})}

Other formulas in Polygonal Effect category

Go Linear Velocity of Sprocket

v s = π \cdot D \cdot \frac{N}{60}

Go Speed of Rotation of Shaft given Linear Velocity of Sprocket

N = v s \cdot \frac{60}{π \cdot D}

Go Minimum Linear Velocity of Sprocket

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

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})}

How to Evaluate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket evaluator uses Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM) to evaluate the Pitch Circle Diameter of Sprocket, Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as a measure of the diameter of the circle passing through the centers of the chain links where the sprocket teeth make contact, which is essential in designing and optimizing the performance of chain drives and sprockets in mechanical systems. Pitch Circle Diameter of Sprocket is denoted by D symbol.

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

FAQs on Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

What is the formula to find Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

The formula of Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket is expressed as Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of Chain Drive Shaft in RPM). Here is an example- 164247.9 = 4.3*60/(pi*500).

How to calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

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

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

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

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))

Can the Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket be negative?

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

Which unit is used to measure Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket 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 of Sprocket given Linear Velocity of Sprocket can be measured.

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Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula

​GoDiameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket Formula

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Example

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Solution

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula Elements

Other Formulas to find Pitch Circle Diameter of Sprocket

Other formulas in Polygonal Effect category

How to Evaluate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

FAQs on Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

Variable Name

GoDiameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket Formula