Pitch given Datum Length of Synchronous Belt Calculator

✖Datum length of Belt is the pitch length of the belt, length of a line circumscribing a belt at the level of the datum diameter of the measuring pulleys whilst the belt is at a specified tension.ⓘ Datum length of Belt [l]			+10% -10%
✖Number of teeth on belt is defined as the total number of teeth onto a synchronous belt.ⓘ Number of teeth on belt [z]			+10% -10%

✖Circular Pitch for Synchronous Belt is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth.ⓘ Pitch given Datum Length of Synchronous Belt [P_c]

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Formula

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Pitch given Datum Length of Synchronous Belt

Formula

`"P"_{"c"} = "l"/"z"`

Example

`"15mm"="1200mm"/"80"`

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Pitch given Datum Length of Synchronous Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt
P_c = l/z
This formula uses 3 Variables

Variables Used

Circular Pitch for Synchronous Belt - (Measured in Meter) - Circular Pitch for Synchronous Belt is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth.
Datum length of Belt - (Measured in Meter) - Datum length of Belt is the pitch length of the belt, length of a line circumscribing a belt at the level of the datum diameter of the measuring pulleys whilst the belt is at a specified tension.
Number of teeth on belt - Number of teeth on belt is defined as the total number of teeth onto a synchronous belt.

STEP 1: Convert Input(s) to Base Unit

Datum length of Belt: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Number of teeth on belt: 80 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = l/z --> 1.2/80

Evaluating ... ...

P_c = 0.015

STEP 3: Convert Result to Output's Unit

0.015 Meter -->15 Millimeter (Check conversion here)

FINAL ANSWER

15 Millimeter <-- Circular Pitch for Synchronous Belt

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » Synchronous Belt Drives » Pitch given Datum Length of Synchronous Belt

Credits

Created by Aditya Prakash Gautam

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

Aditya Prakash Gautam has created this Calculator and 25+ 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 given Datum Length of Synchronous Belt Formula

Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt
P_c = l/z

What are the advantages of Synchronous belt drive mechanisms ?

The general difference of synchronous belt drive mechanisms other than v-belts, they have teeth at the inner side of the belt. These teeth have complied with the grooves of sprockets which are acting as pulleys at the power transmission between different shafts are motor and shafts. Because of these teeth that attach the synchronous belt drives onto sprockets, there is no slippage and creep of the belt on sprockets. There are no excessive radial loads on the motor and shafts. Thus, there is no place for loss of rotations and powers at the given time like v-belts.

How to Calculate Pitch given Datum Length of Synchronous Belt?

Pitch given Datum Length of Synchronous Belt calculator uses Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt to calculate the Circular Pitch for Synchronous Belt, The Pitch given Datum Length of Synchronous Belt formula is defined as the datum length of the synchronous belt divided by the number of teeth that are present on the belt. Circular Pitch for Synchronous Belt is denoted by P_c symbol.

How to calculate Pitch given Datum Length of Synchronous Belt using this online calculator? To use this online calculator for Pitch given Datum Length of Synchronous Belt, enter Datum length of Belt (l) & Number of teeth on belt (z) and hit the calculate button. Here is how the Pitch given Datum Length of Synchronous Belt calculation can be explained with given input values -> 15000 = 1.2/80.

FAQ

What is Pitch given Datum Length of Synchronous Belt?

The Pitch given Datum Length of Synchronous Belt formula is defined as the datum length of the synchronous belt divided by the number of teeth that are present on the belt and is represented as P_c = l/z or Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt. Datum length of Belt is the pitch length of the belt, length of a line circumscribing a belt at the level of the datum diameter of the measuring pulleys whilst the belt is at a specified tension & Number of teeth on belt is defined as the total number of teeth onto a synchronous belt.

How to calculate Pitch given Datum Length of Synchronous Belt?

The Pitch given Datum Length of Synchronous Belt formula is defined as the datum length of the synchronous belt divided by the number of teeth that are present on the belt is calculated using Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt. To calculate Pitch given Datum Length of Synchronous Belt, you need Datum length of Belt (l) & Number of teeth on belt (z). With our tool, you need to enter the respective value for Datum length of Belt & Number of teeth on belt 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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