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)

Credits

Creator Image
Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand
Aditya Prakash Gautam has created this Calculator and 25+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Synchronous Belt Drives Calculators

Transmission Ratio of Synchronous belt drive given no. of teeth in smaller and larger pulley
​ LaTeX ​ Go Transmission Ratio of Belt Drive = Number of teeth on larger pulley/Number of teeth on smaller pulley
Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley
​ LaTeX ​ Go Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley
Speed of smaller pulley given Transmission ratio of Synchronous belt drive
​ LaTeX ​ 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
​ LaTeX ​ Go Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive

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)+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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!