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

✖Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.ⓘ Diameter of Big Pulley [D]			+10% -10%
✖Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.ⓘ Diameter of Small Pulley [d]			+10% -10%
✖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.ⓘ Wrap Angle for Cross Belt Drive [α_a]			+10% -10%

✖Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.ⓘ Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive [C]

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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((α_a-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((α_a-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 00.033 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Crossed Belt Drives Calculators

Wrap Angle for Small Pulley of Cross Belt Drive

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

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

Go 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 Small Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

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

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

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((α_a-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, The Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance in between the center of the small pulley and the big pulley. 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 (α_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?

The Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance in between the center of the small pulley and the big pulley and is represented as C = (D+d)/(2*sin((α_a-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?

The Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance in between the center of the small pulley and the big pulley 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 (α_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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