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%
✖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%

✖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 Small Pulley of Cross Belt Drive [α]

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Formula

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Wrap Angle for Small Pulley of Cross Belt Drive

Formula

`"α" = 3.14+(2*asin(("D"+"d")/(2*"C")))`

Example

`"219.358°"=3.14+(2*asin(("810mm"+"270mm")/(2*"1600mm")))`

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Wrap Angle for Small Pulley of Cross Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wrap Angle for Cross Belt Drive = 3.14+(2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/(2*Centre Distance between Pulleys)))
α = 3.14+(2*asin((D+d)/(2*C)))
This formula uses 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
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.
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.

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)
Centre Distance between Pulleys: 1600 Millimeter --> 1.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = 3.14+(2*asin((D+d)/(2*C))) --> 3.14+(2*asin((0.81+0.27)/(2*1.6)))

Evaluating ... ...

α = 3.82851959869742

STEP 3: Convert Result to Output's Unit

3.82851959869742 Radian -->219.358014788523 Degree (Check conversion here)

FINAL ANSWER

219.358014788523 ≈ 219.358 Degree <-- Wrap Angle for Cross Belt Drive

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 5 Crossed Belt Drives Calculators

Belt Length for Cross Belt Drive

Go Belt Length = 2*Centre Distance between Pulleys+(pi*(Diameter of Small Pulley+Diameter of Big Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys))

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

Wrap Angle for Small Pulley of Cross Belt Drive Formula

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

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 Wrap Angle for Small Pulley of Cross Belt Drive?

Wrap Angle for Small Pulley of Cross Belt Drive calculator uses Wrap Angle for Cross Belt Drive = 3.14+(2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/(2*Centre Distance between Pulleys))) to calculate the Wrap Angle for Cross Belt Drive, The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley. Wrap Angle for Cross Belt Drive is denoted by α symbol.

How to calculate Wrap Angle for Small Pulley of Cross Belt Drive using this online calculator? To use this online calculator for Wrap Angle for Small Pulley of Cross Belt Drive, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Centre Distance between Pulleys (C) and hit the calculate button. Here is how the Wrap Angle for Small Pulley of Cross Belt Drive calculation can be explained with given input values -> 12568.29 = 3.14+(2*asin((0.81+0.27)/(2*1.6))).

FAQ

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

The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley and is represented as α = 3.14+(2*asin((D+d)/(2*C))) or 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 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 & Centre Distance between Pulleys is the distance between the centres of the big pulley and the small pulley.

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

The Wrap Angle for Small Pulley of Cross Belt Drive formula is defined as the angle between the run-up and run-off of the belt on the pulley is calculated using Wrap Angle for Cross Belt Drive = 3.14+(2*asin((Diameter of Big Pulley+Diameter of Small Pulley)/(2*Centre Distance between Pulleys))). To calculate Wrap Angle for Small Pulley of Cross Belt Drive, you need Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Centre Distance between Pulleys (C). With our tool, you need to enter the respective value for Diameter of Big Pulley, Diameter of Small Pulley & Centre Distance between Pulleys 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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