Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary
Formula Used
Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2))
C = (D+d)/(2*sin((αa-3.14)/2))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Centre Distance between Pulleys - (Measured in Meter) - Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.
Diameter of Big Pulley - (Measured in Meter) - Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.
Diameter of Small Pulley - (Measured in Meter) - Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.
Wrap Angle for Cross Belt Drive - (Measured in Radian) - Wrap Angle for Cross Belt Drive is the angle that the Belt wraps around the Small Pulley and is the same as around the Big Pulley.
STEP 1: Convert Input(s) to Base Unit
Diameter of Big Pulley: 810 Millimeter --> 0.81 Meter (Check conversion ​here)
Diameter of Small Pulley: 270 Millimeter --> 0.27 Meter (Check conversion ​here)
Wrap Angle for Cross Belt Drive: 220 Degree --> 3.8397243543868 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (D+d)/(2*sin((αa-3.14)/2)) --> (0.81+0.27)/(2*sin((3.8397243543868-3.14)/2))
Evaluating ... ...
C = 1.57540805660995
STEP 3: Convert Result to Output's Unit
1.57540805660995 Meter -->1575.40805660995 Millimeter (Check conversion ​here)
FINAL ANSWER
1575.40805660995 1575.408 Millimeter <-- Centre Distance between Pulleys
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Crossed Belt Drives Calculators

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive
​ LaTeX ​ Go Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2))
Wrap Angle for Small Pulley of Cross Belt Drive
​ LaTeX ​ Go Wrap Angle for Cross Belt Drive = 3.14+2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/(2*Centre Distance between Pulleys))
Diameter of Small Pulley given Wrap Angle for Small Pulley of Cross Belt Drive
​ LaTeX ​ Go Diameter of Small Pulley = 2*Centre Distance between Pulleys*sin((Wrap Angle for Cross Belt Drive-3.14)/2)-Diameter of Big Pulley
Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive
​ LaTeX ​ Go Diameter of Big Pulley = 2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)*Centre Distance between Pulleys-Diameter of Small Pulley

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Formula

​LaTeX ​Go
Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2))
C = (D+d)/(2*sin((αa-3.14)/2))

Applications of Belt Drives?

A belt drive is used to transfer power.
The belt drive is used in the Mill industry.
The belt drive is used in Conveyor.

How to Calculate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive calculator uses Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)) to calculate the Centre Distance between Pulleys, Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as a method to determine the distance between the centers of two pulleys in a crossed belt drive system, considering the wrap angle for optimal belt tension and performance. Centre Distance between Pulleys is denoted by C symbol.

How to calculate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive using this online calculator? To use this online calculator for Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Wrap Angle for Cross Belt Drive a) and hit the calculate button. Here is how the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive calculation can be explained with given input values -> 1.6E+6 = (0.81+0.27)/(2*sin((3.8397243543868-3.14)/2)).

FAQ

What is Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?
Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as a method to determine the distance between the centers of two pulleys in a crossed belt drive system, considering the wrap angle for optimal belt tension and performance and is represented as C = (D+d)/(2*sin((αa-3.14)/2)) or Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)). Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley, Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley & Wrap Angle for Cross Belt Drive is the angle that the Belt wraps around the Small Pulley and is the same as around the Big Pulley.
How to calculate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?
Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as a method to determine the distance between the centers of two pulleys in a crossed belt drive system, considering the wrap angle for optimal belt tension and performance is calculated using Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)). To calculate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive, you need Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Wrap Angle for Cross Belt Drive a). With our tool, you need to enter the respective value for Diameter of Big Pulley, Diameter of Small Pulley & Wrap Angle for Cross 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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