Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive Calculator

✖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]			+10% -10%
✖Centre Distance between Pulleys is the distance between the centres of the big pulley and the small pulley.ⓘ Centre Distance between Pulleys [C]			+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%

✖Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.ⓘ Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive [D]

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Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Centre Distance between Pulleys - (Measured in Meter) - Centre Distance between Pulleys is the distance between the centres of the big pulley and the small 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.

STEP 1: Convert Input(s) to Base Unit

Wrap Angle for Cross Belt Drive: 220 Degree --> 3.8397243543868 Radian (Check conversion here)
Centre Distance between Pulleys: 1600 Millimeter --> 1.6 Meter (Check conversion here)
Diameter of Small Pulley: 270 Millimeter --> 0.27 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (2*sin((α-3.14)/2)*C)-d --> (2*sin((3.8397243543868-3.14)/2)*1.6)-0.27

Evaluating ... ...

D = 0.826858679089406

STEP 3: Convert Result to Output's Unit

0.826858679089406 Meter -->826.858679089406 Millimeter (Check conversion here)

FINAL ANSWER

826.858679089406 ≈ 826.8587 Millimeter <-- Diameter of Big Pulley

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Crossed Belt Drives Calculators

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)))

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))

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

Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive Formula

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
D = (2*sin((α-3.14)/2)*C)-d

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 Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive?

Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive calculator uses Diameter of Big Pulley = (2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)*Centre Distance between Pulleys)-Diameter of Small Pulley to calculate the Diameter of Big Pulley, The Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance from side to side of the flat of the pulley. Diameter of Big Pulley is denoted by D symbol.

How to calculate Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive using this online calculator? To use this online calculator for Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive, enter Wrap Angle for Cross Belt Drive (α), Centre Distance between Pulleys (C) & Diameter of Small Pulley (d) and hit the calculate button. Here is how the Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive calculation can be explained with given input values -> 826858.7 = (2*sin((3.8397243543868-3.14)/2)*1.6)-0.27.

FAQ

What is Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive?

The Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance from side to side of the flat of the pulley and is represented as D = (2*sin((α-3.14)/2)*C)-d or Diameter of Big Pulley = (2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)*Centre Distance between Pulleys)-Diameter of 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, Centre Distance between Pulleys is the distance between the centres of the big pulley and the small pulley & Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.

How to calculate Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive?

The Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the distance from side to side of the flat of the pulley is calculated using Diameter of Big Pulley = (2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)*Centre Distance between Pulleys)-Diameter of Small Pulley. To calculate Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive, you need Wrap Angle for Cross Belt Drive (α), Centre Distance between Pulleys (C) & Diameter of Small Pulley (d). With our tool, you need to enter the respective value for Wrap Angle for Cross Belt Drive, Centre Distance between Pulleys & Diameter of Small Pulley 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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