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_a]			+10% -10%
✖Centre Distance between Pulleys is the distance between the centers 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_a-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 centers 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: 1575 Millimeter --> 1.575 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_a-3.14)/2)*C-d --> 2*sin((3.8397243543868-3.14)/2)*1.575-0.27

Evaluating ... ...

D = 0.809720262228634

STEP 3: Convert Result to Output's Unit

0.809720262228634 Meter -->809.720262228634 Millimeter (Check conversion here)

FINAL ANSWER

809.720262228634 ≈ 809.7203 Millimeter <-- Diameter of Big Pulley

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » Crossed Belt Drives » Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

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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

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

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_a-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, Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as a method to determine the size of the larger pulley based on the wrap angle of the smaller pulley in a crossed belt drive system. 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_a), 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 -> 809720.3 = 2*sin((3.8397243543868-3.14)/2)*1.575-0.27.

FAQ

What is 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 formula is defined as a method to determine the size of the larger pulley based on the wrap angle of the smaller pulley in a crossed belt drive system and is represented as D = 2*sin((α_a-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 centers 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?

Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as a method to determine the size of the larger pulley based on the wrap angle of the smaller pulley in a crossed belt drive system 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_a), 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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