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)+do
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)+do --> (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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18 Synchronous Belt Drives Calculators

Distance from Belt pitch line to Pulley tip circle radius
Go Belt Pitch Line and Pulley Tip Circle Radius Width = (Pulley Pitch Diameter/2)-(Pulley Outside Diameter/2)
Pulley outside Diameter given Distance between Belt Pitch line and Pulley tip circle radius
Go Pulley Outside Diameter = Pulley Pitch Diameter-(2*Belt Pitch Line and Pulley Tip Circle Radius Width)
Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius
Go Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter
Transmission Ratio of Synchronous belt drive given no. of teeth in smaller and larger pulley
Go Transmission Ratio of Belt Drive = Number of teeth on larger pulley/Number of teeth on smaller pulley
Number of Teeth in Smaller pulley given Transmission ratio of Synchronous belt drive
Go Number of teeth on smaller pulley = Number of teeth on larger pulley/Transmission Ratio of Belt Drive
Number of Teeth in larger pulley given Transmission ratio of Synchronous belt drive
Go Number of teeth on larger pulley = Number of teeth on smaller pulley*Transmission Ratio of Belt Drive
Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley
Go Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley
Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive
Go Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive
Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive
Go Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive
Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley
Go Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley
Number of Teeth in Belt given Datum Length of Synchronous Belt
Go Number of teeth on belt = Datum length of Belt/Circular Pitch for Synchronous Belt
Pitch given Datum Length of Synchronous Belt
Go Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt
Datum length of synchronous belt
Go Datum length of Belt = Circular Pitch for Synchronous Belt*Number of teeth on belt
Speed of smaller pulley given Transmission ratio of Synchronous belt drive
Go Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive
Speed of larger pulley given Transmission ratio of Synchronous belt drive
Go Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive
Standard Capacity of selected Belt given Power transmitted by Synchronous Belt
Go Standard Capacity of Belt = Power transmitted by belt*Service Correction Factor
Service Correction Factor given Power transmitted by Synchronous Belt
Go Service Correction Factor = Standard Capacity of Belt/Power transmitted by belt
Power transmitted by synchronous belt
Go Power transmitted by belt = Standard Capacity of Belt/Service Correction Factor

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

Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter
d' = (2*a)+do

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) & Pulley Outside Diameter (do) 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)+do 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) & Pulley Outside Diameter (do). 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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