Pitch Circle Diameter given Average Velocity of Chain Calculator

✖Average Chain Velocity is the velocity of the chain as it wraps around the sprocket wheel, affecting the overall efficiency of the mechanical system.ⓘ Average Chain Velocity [v]			+10% -10%
✖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.ⓘ Speed of Chain Drive Shaft in RPM [N]			+10% -10%

✖Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.ⓘ Pitch Circle Diameter given Average Velocity of Chain [D_s]

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Pitch Circle Diameter given Average Velocity of Chain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM)
D_s = v*60/(pi*N)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sproket Diameter of Pitch Circle - (Measured in Meter) - Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.
Average Chain Velocity - (Measured in Meter per Second) - Average Chain Velocity is the velocity of the chain as it wraps around the sprocket wheel, affecting the overall efficiency of the mechanical system.
Speed of Chain Drive Shaft in RPM - (Measured in Radian per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Average Chain Velocity: 403 Millimeter per Second --> 0.403 Meter per Second (Check conversion here)
Speed of Chain Drive Shaft in RPM: 561 Revolution per Minute --> 58.7477826191375 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = v*60/(pi*N) --> 0.403*60/(pi*58.7477826191375)

Evaluating ... ...

D_s = 0.131013166876817

STEP 3: Convert Result to Output's Unit

0.131013166876817 Meter -->131.013166876817 Millimeter (Check conversion here)

FINAL ANSWER

131.013166876817 ≈ 131.0132 Millimeter <-- Sproket Diameter of Pitch Circle

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

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

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Pitch Circle Diameter given Average Velocity of Chain Formula

LaTeX Go

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

What is Chain Drives?

Chain drive is a way of transmitting mechanical power from one place to another. It is often used to convey power to the wheels of a vehicle, particularly bicycles and motorcycles. It is also used in a wide variety of machines besides vehicles.

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

Pitch Circle Diameter given Average Velocity of Chain calculator uses Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM) to calculate 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 calculate Pitch Circle Diameter given Average Velocity of Chain using this online calculator? To use this online calculator 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. Here is how the Pitch Circle Diameter given Average Velocity of Chain calculation can be explained with given input values -> 131338.3 = 0.403*60/(pi*58.7477826191375).

FAQ

What is Pitch Circle Diameter given Average Velocity of Chain?

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 and is represented as D_s = v*60/(pi*N) or Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM). Average Chain Velocity is the velocity of the chain as it wraps around the sprocket wheel, affecting the overall efficiency of the mechanical system & 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.

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

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 is calculated using Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of Chain Drive Shaft in RPM). To calculate Pitch Circle Diameter given Average Velocity of Chain, you need Average Chain Velocity (v) & Speed of Chain Drive Shaft in RPM (N). With our tool, you need to enter the respective value for Average Chain Velocity & Speed of Chain Drive Shaft in RPM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sproket Diameter of Pitch Circle?

In this formula, Sproket Diameter of Pitch Circle uses Average Chain Velocity & Speed of Chain Drive Shaft in RPM. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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