Diameter of Big Pulley given Wrap Angle for Big Pulley Calculator

✖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 centers of the big pulley and the small pulley.ⓘ Centre Distance between Pulleys [C]			+10% -10%
✖Wrap Angle on Big Pulley is the angle that the Belt wraps around the Big Pulley.ⓘ Wrap Angle on Big Pulley [α_b]			+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 Big Pulley [D]

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Diameter of Big Pulley given Wrap Angle for Big Pulley Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2))
D = d+(2*C*sin((α_b-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

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 centers of the big pulley and the small pulley.
Wrap Angle on Big Pulley - (Measured in Radian) - Wrap Angle on Big Pulley is the angle that the Belt wraps around the Big Pulley.

STEP 1: Convert Input(s) to Base Unit

Diameter of Small Pulley: 270 Millimeter --> 0.27 Meter (Check conversion here)
Centre Distance between Pulleys: 1600 Millimeter --> 1.6 Meter (Check conversion here)
Wrap Angle on Big Pulley: 200 Degree --> 3.490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = d+(2*C*sin((α_b-3.14)/2)) --> 0.27+(2*1.6*sin((3.490658503988-3.14)/2))

Evaluating ... ...

D = 0.828183524246264

STEP 3: Convert Result to Output's Unit

0.828183524246264 Meter -->828.183524246264 Millimeter (Check conversion here)

FINAL ANSWER

828.183524246264 ≈ 828.1835 Millimeter <-- Diameter of Big Pulley

(Calculation completed in 00.007 seconds)

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Osmania University (OU), Hyderabad

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< Introduction of Belt Drives Calculators

Wrap Angle for Small Pulley

Go Wrap Angle on Small Pulley = 3.14-(2*(asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys))))

Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley

Go Centre Distance between Pulleys = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle on Small Pulley)/2))

Diameter of Small Pulley given Wrap Angle of Small Pulley

Go Diameter of Small Pulley = Diameter of Big Pulley-(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))

Diameter of Big Pulley given Wrap Angle of Small Pulley

Go Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))

Diameter of Big Pulley given Wrap Angle for Big Pulley Formula

Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2))
D = d+(2*C*sin((α_b-3.14)/2))

Define Wrap Angle?

The wrap angle is defined as the angle between the run-up and run-off of the belt on the pulley. In addition, the greater curvature causes greater bending stresses in the belt, which also limits the transmittable belt force. So-called idler pulleys can be used to increase the wrap angle.

How to Calculate Diameter of Big Pulley given Wrap Angle for Big Pulley?

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

How to calculate Diameter of Big Pulley given Wrap Angle for Big Pulley using this online calculator? To use this online calculator for Diameter of Big Pulley given Wrap Angle for Big Pulley, enter Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Big Pulley (α_b) and hit the calculate button. Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley calculation can be explained with given input values -> 828183.5 = 0.27+(2*1.6*sin((3.490658503988-3.14)/2)).

FAQ

What is Diameter of Big Pulley given Wrap Angle for Big Pulley?

The Diameter of Big Pulley given Wrap Angle for Big Pulley formula is defined as the distance from side to side of the flat part of the bigger pulley and is represented as D = d+(2*C*sin((α_b-3.14)/2)) or Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2)). 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 centers of the big pulley and the small pulley & Wrap Angle on Big Pulley is the angle that the Belt wraps around the Big Pulley.

How to calculate Diameter of Big Pulley given Wrap Angle for Big Pulley?

The Diameter of Big Pulley given Wrap Angle for Big Pulley formula is defined as the distance from side to side of the flat part of the bigger pulley is calculated using Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2)). To calculate Diameter of Big Pulley given Wrap Angle for Big Pulley, you need Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Big Pulley (α_b). With our tool, you need to enter the respective value for Diameter of Small Pulley, Centre Distance between Pulleys & Wrap Angle on Big Pulley and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Big Pulley?

In this formula, Diameter of Big Pulley uses Diameter of Small Pulley, Centre Distance between Pulleys & Wrap Angle on Big Pulley. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))

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