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Pitch Circle Diameter given Pitch Formula

GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

GoPitch Circle Diameter given Root 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 = \frac{P}{\sin (\frac{3.035}{z})}

D_s - Sproket Diameter of Pitch Circle?P - Pitch of Chain?z - Number of Teeth on Sprocket?

Pitch Circle Diameter given Pitch Example

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With units

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Here is how the Pitch Circle Diameter given Pitch equation looks like with Values.

Here is how the Pitch Circle Diameter given Pitch equation looks like with Units.

Here is how the Pitch Circle Diameter given Pitch equation looks like.

131.0981 = \frac{22}{\sin (\frac{3.035}{18})}

131.0981mm = \frac{22mm}{\sin (\frac{3.035}{18})}

131.0981 = \frac{22}{\sin (\frac{3.035}{18})}

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Pitch Circle Diameter given Pitch Solution

Follow our step by step solution on how to calculate Pitch Circle Diameter given Pitch?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D s = \frac{22mm}{\sin (\frac{3.035}{18})}

Next Step Convert Units

∴

D s = \frac{0.022m}{\sin (\frac{3.035}{18})}

Next Step Prepare to Evaluate

∴

D s = \frac{0.022}{\sin (\frac{3.035}{18})}

Next Step Evaluate

∴

D s = 0.131098056958861m

Next Step Convert to Output's Unit

∴

D s = 131.098056958861mm

LAST Step Rounding Answer

∴

D s = 131.0981mm

Pitch Circle Diameter given Pitch Formula Elements

Variables

Functions

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

Pitch of Chain

Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Chain

Number of Teeth on Sprocket

Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Sproket Diameter of Pitch Circle

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

Go Pitch Circle Diameter given Average Velocity of Chain

D s = v \cdot \frac{60}{π \cdot N}

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 Pitch?

Pitch Circle Diameter given Pitch evaluator uses Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket) to evaluate the Sproket Diameter of Pitch Circle, Pitch Circle Diameter given Pitch formula is defined as the diameter of the circle passing through the centers of the teeth of a gear or a gearrack, which is a critical parameter in mechanical engineering and gear design, used to determine the size and shape of gears and gearracks. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to evaluate Pitch Circle Diameter given Pitch using this online evaluator? To use this online evaluator for Pitch Circle Diameter given Pitch, enter Pitch of Chain (P) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Pitch Circle Diameter given Pitch

What is the formula to find Pitch Circle Diameter given Pitch?

The formula of Pitch Circle Diameter given Pitch is expressed as Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket). Here is an example- 131098.1 = 0.022/sin(3.035/18).

How to calculate Pitch Circle Diameter given Pitch?

With Pitch of Chain (P) & Number of Teeth on Sprocket (z) we can find Pitch Circle Diameter given Pitch using the formula - Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket). This formula also uses Sine function(s).

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=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
Sproket Diameter of Pitch Circle=Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)

Can the Pitch Circle Diameter given Pitch be negative?

No, the Pitch Circle Diameter given Pitch, measured in Length cannot be negative.

Which unit is used to measure Pitch Circle Diameter given Pitch?

Pitch Circle Diameter given Pitch 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 Pitch can be measured.

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Pitch Circle Diameter given Pitch Formula

​GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

​GoPitch Circle Diameter given Root Diameter of Sprocket Wheel Formula

Pitch Circle Diameter given Pitch Example

Pitch Circle Diameter given Pitch Solution

Pitch Circle Diameter given Pitch 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 Pitch?

FAQs on Pitch Circle Diameter given Pitch

Variable Name

GoPitch Circle Diameter given Top Diameter of Sprocket Wheel Formula

GoPitch Circle Diameter given Root Diameter of Sprocket Wheel Formula