Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius Calculator

✖Belt Pitch Line and Pulley Tip Circle Radius Width is the distance between the pitch line of belt (which is situated outside the pulley-tip-circle radius) and the pulley tip circle radius.ⓘ Belt Pitch Line and Pulley Tip Circle Radius Width [a_p]			+10% -10%
✖Pulley Outside Diameter is the diameter of the outer surface of the pulley.ⓘ Pulley Outside Diameter [d_o]			+10% -10%

✖Pulley Pitch Diameter is the diameter of the pulley at the pitch line level of the belt used with this pulley.ⓘ Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius [d^']

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Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter
d^' = (2*a_p)+d_o
This formula uses 3 Variables

Variables Used

Pulley Pitch Diameter - (Measured in Meter) - Pulley Pitch Diameter is the diameter of the pulley at the pitch line level of the belt used with this pulley.
Belt Pitch Line and Pulley Tip Circle Radius Width - (Measured in Meter) - Belt Pitch Line and Pulley Tip Circle Radius Width is the distance between the pitch line of belt (which is situated outside the pulley-tip-circle radius) and the pulley tip circle radius.
Pulley Outside Diameter - (Measured in Meter) - Pulley Outside Diameter is the diameter of the outer surface of the pulley.

STEP 1: Convert Input(s) to Base Unit

Belt Pitch Line and Pulley Tip Circle Radius Width: 8 Millimeter --> 0.008 Meter (Check conversion here)
Pulley Outside Diameter: 154 Millimeter --> 0.154 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d^' = (2*a_p)+d_o --> (2*0.008)+0.154

Evaluating ... ...

d^' = 0.17

STEP 3: Convert Result to Output's Unit

0.17 Meter -->170 Millimeter (Check conversion here)

FINAL ANSWER

170 Millimeter <-- Pulley Pitch Diameter

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

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< Synchronous Belt Drives Calculators

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Speed of larger pulley given Transmission ratio of Synchronous belt drive

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Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius Formula

LaTeX Go

Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter
d^' = (2*a_p)+d_o

What is the significance of Pulley pitch circle/diameter ?

The tooth profile of synchronous belts is of trapezoidal shape with sides being straight lines which generate an involute, similar to that of a spur gear tooth. As a result, the profile of the pulley teeth is involute. Unlike the spur gear, however, the outside diameter of a timing pulley is smaller than its pitch diameter, thus creating an imaginary pitch diameter (pulley pitch diameter) which is larger than the pulley itself. Pulley pitch circle coincides with the belt pitch line over the meshed teeth part.

How to Calculate Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius?

Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius calculator uses Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter to calculate the Pulley Pitch Diameter, The Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius formula is defined as the sum of twice the distance between the belt pitch line & pulley tip circle radius and pulley outside diameter. Pulley Pitch Diameter is denoted by d^' symbol.

How to calculate Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius using this online calculator? To use this online calculator for Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius, enter Belt Pitch Line and Pulley Tip Circle Radius Width (a_p) & Pulley Outside Diameter (d_o) and hit the calculate button. Here is how the Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius calculation can be explained with given input values -> 170000 = (2*0.008)+0.154.

FAQ

What is Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius?

The Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius formula is defined as the sum of twice the distance between the belt pitch line & pulley tip circle radius and pulley outside diameter and is represented as d^' = (2*a_p)+d_o or Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter. Belt Pitch Line and Pulley Tip Circle Radius Width is the distance between the pitch line of belt (which is situated outside the pulley-tip-circle radius) and the pulley tip circle radius & Pulley Outside Diameter is the diameter of the outer surface of the pulley.

How to calculate Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius?

The Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius formula is defined as the sum of twice the distance between the belt pitch line & pulley tip circle radius and pulley outside diameter is calculated using Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter. To calculate Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius, you need Belt Pitch Line and Pulley Tip Circle Radius Width (a_p) & Pulley Outside Diameter (d_o). With our tool, you need to enter the respective value for Belt Pitch Line and Pulley Tip Circle Radius Width & Pulley Outside Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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