Speed of larger pulley given Transmission ratio of Synchronous belt drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive
n2 = n1/i
This formula uses 3 Variables
Variables Used
Speed of Larger Pulley - (Measured in Radian per Second) - Speed of Larger Pulley can be defined as the number of revolutions the larger sized pulley makes in a given unit of time.
Speed of Smaller Pulley - (Measured in Radian per Second) - Speed of Smaller Pulley can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time.
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
Speed of Smaller Pulley: 640 Revolution per Minute --> 67.0206432731694 Radian per Second (Check conversion here)
Transmission Ratio of Belt Drive: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n2 = n1/i --> 67.0206432731694/3
Evaluating ... ...
n2 = 22.3402144243898
STEP 3: Convert Result to Output's Unit
22.3402144243898 Radian per Second -->213.333333333333 Revolution per Minute (Check conversion here)
FINAL ANSWER
213.333333333333 213.3333 Revolution per Minute <-- Speed of Larger Pulley
(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

Speed of larger pulley given Transmission ratio of Synchronous belt drive Formula

Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive
n2 = n1/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 Speed of larger pulley given Transmission ratio of Synchronous belt drive?

Speed of larger pulley given Transmission ratio of Synchronous belt drive calculator uses Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive to calculate the Speed of Larger Pulley, The Speed of larger pulley given Transmission ratio of Synchronous belt drive formula is used to find out the speed of the larger pulley when the speed of the smaller pulley and the transmission ratio of the system is known. Speed of Larger Pulley is denoted by n2 symbol.

How to calculate Speed of larger pulley given Transmission ratio of Synchronous belt drive using this online calculator? To use this online calculator for Speed of larger pulley given Transmission ratio of Synchronous belt drive, enter Speed of Smaller Pulley (n1) & Transmission Ratio of Belt Drive (i) and hit the calculate button. Here is how the Speed of larger pulley given Transmission ratio of Synchronous belt drive calculation can be explained with given input values -> 2037.183 = 67.0206432731694/3.

FAQ

What is Speed of larger pulley given Transmission ratio of Synchronous belt drive?
The Speed of larger pulley given Transmission ratio of Synchronous belt drive formula is used to find out the speed of the larger pulley when the speed of the smaller pulley and the transmission ratio of the system is known and is represented as n2 = n1/i or Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive. Speed of Smaller Pulley can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time & 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 Speed of larger pulley given Transmission ratio of Synchronous belt drive?
The Speed of larger pulley given Transmission ratio of Synchronous belt drive formula is used to find out the speed of the larger pulley when the speed of the smaller pulley and the transmission ratio of the system is known is calculated using Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive. To calculate Speed of larger pulley given Transmission ratio of Synchronous belt drive, you need Speed of Smaller Pulley (n1) & Transmission Ratio of Belt Drive (i). With our tool, you need to enter the respective value for Speed 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.
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