Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive
d'2 = d'1*i
This formula uses 3 Variables
Variables Used
Pitch Diameter of Larger Pulley - (Measured in Meter) - Pitch Diameter of Larger Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive.
Pitch Diameter of Smaller Pulley - (Measured in Meter) - Pitch Diameter of Smaller Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive.
Transmission Ratio of Belt Drive - The Transmission Ratio of Belt Drive is defined as the ratio of the large to small pulley size and can be calculated by dividing the number of teeth in the large pulley by those in the small pulley.
STEP 1: Convert Input(s) to Base Unit
Pitch Diameter of Smaller Pulley: 254 Millimeter --> 0.254 Meter (Check conversion here)
Transmission Ratio of Belt Drive: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d'2 = d'1*i --> 0.254*3
Evaluating ... ...
d'2 = 0.762
STEP 3: Convert Result to Output's Unit
0.762 Meter -->762 Millimeter (Check conversion here)
FINAL ANSWER
762 Millimeter <-- Pitch Diameter of Larger Pulley
(Calculation completed in 00.004 seconds)

Credits

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
Peri Krishna Karthik has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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

Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive Formula

Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive
d'2 = d'1*i

What is synchronous belt?

A toothed belt; timing belt; cogged belt; cog belt; or synchronous belt is a flexible belt with teeth moulded onto its inner surface. It is sometimes designed to run over matching toothed pulleys or sprockets. Toothed belts are used in a wide array of mechanical devices, where high-power transmission is desired.

What are the advantages of synchronous belt drive?

The advantages of synchronous belt drive are,
no slippage and creep of the belt on sprockets. Because of this, there is no place for loss of rotations and powers at the given time. No need for high assembly loads as v-belts to obtain slipless and creepless drive. This means that there are no excessive radial loads on the motor and shafts. They can be used in machinery where precision is very important. At power transmission of 3D printers, robotic mechanisms, synchronous belt drive mechanisms are generally used.

How to Calculate Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive?

Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive calculator uses Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive to calculate the Pitch Diameter of Larger Pulley, The Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is used to find the pitch diameter of smaller pulley which is the critical element in designing of synchronous belt drive. Pitch Diameter of Larger Pulley is denoted by d'2 symbol.

How to calculate Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive using this online calculator? To use this online calculator for Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive, enter Pitch Diameter of Smaller Pulley (d'1) & Transmission Ratio of Belt Drive (i) and hit the calculate button. Here is how the Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive calculation can be explained with given input values -> 762000 = 0.254*3.

FAQ

What is Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive?
The Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is used to find the pitch diameter of smaller pulley which is the critical element in designing of synchronous belt drive and is represented as d'2 = d'1*i or Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive. Pitch Diameter of Smaller Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive & The Transmission Ratio of Belt Drive is defined as the ratio of the large to small pulley size and can be calculated by dividing the number of teeth in the large pulley by those in the small pulley.
How to calculate Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive?
The Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is used to find the pitch diameter of smaller pulley which is the critical element in designing of synchronous belt drive is calculated using Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive. To calculate Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive, you need Pitch Diameter of Smaller Pulley (d'1) & Transmission Ratio of Belt Drive (i). With our tool, you need to enter the respective value for Pitch Diameter of Smaller Pulley & Transmission Ratio of Belt Drive 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!