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Diameter of Big Pulley given Wrap Angle for Big Pulley Formula

GoDiameter of Big Pulley given Wrap Angle of Small Pulley Formula

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Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley. Check FAQs

D = d + 2 \cdot C \cdot \sin (\frac{α b - 3.14}{2})

D - Diameter of Big Pulley?d - Diameter of Small Pulley?C - Centre Distance between Pulleys?α_b - Wrap Angle on Big Pulley?

Diameter of Big Pulley given Wrap Angle for Big Pulley Example

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Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like with Values.

Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like with Units.

Here is how the Diameter of Big Pulley given Wrap Angle for Big Pulley equation looks like.

819.4619 = 270 + 2 \cdot 1575 \cdot \sin (\frac{200 - 3.14}{2})

819.4619mm = 270mm + 2 \cdot 1575mm \cdot \sin (\frac{200° - 3.14}{2})

819.4619 = 270 + 2 \cdot 1575 \cdot \sin (\frac{200 - 3.14}{2})

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Diameter of Big Pulley given Wrap Angle for Big Pulley Solution

Follow our step by step solution on how to calculate Diameter of Big Pulley given Wrap Angle for Big Pulley?

FIRST Step Consider the formula

D = d + 2 \cdot C \cdot \sin (\frac{α b - 3.14}{2})

Next Step Substitute values of Variables

∴

D = 270mm + 2 \cdot 1575mm \cdot \sin (\frac{200° - 3.14}{2})

Next Step Convert Units

∴

D = 0.27m + 2 \cdot 1.575m \cdot \sin (\frac{3.4907rad - 3.14}{2})

Next Step Prepare to Evaluate

∴

D = 0.27 + 2 \cdot 1.575 \cdot \sin (\frac{3.4907 - 3.14}{2})

Next Step Evaluate

∴

D = 0.819461906679916m

Next Step Convert to Output's Unit

∴

D = 819.461906679916mm

LAST Step Rounding Answer

∴

D = 819.4619mm

Diameter of Big Pulley given Wrap Angle for Big Pulley Formula Elements

Variables

Functions

Diameter of Big Pulley

Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Big Pulley

Diameter of Small Pulley

Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Small Pulley

Centre Distance between Pulleys

Centre Distance between Pulleys is the distance between the centers of the big pulley and the small pulley.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Centre Distance between Pulleys

Wrap Angle on Big Pulley

Wrap Angle on Big Pulley is the angle that the Belt wraps around the Big Pulley.

Symbol: α_b

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle on Big Pulley

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.

Syntax: sin(Angle)

Other Formulas to find Diameter of Big Pulley

Go Diameter of Big Pulley given Wrap Angle of Small Pulley

D = d + 2 \cdot C \cdot \sin (\frac{3.14 - α s}{2})

Other formulas in Introduction of Belt Drives category

Go Wrap Angle for Small Pulley

α s = 3.14 - 2 \cdot a \sin (\frac{D - d}{2 \cdot C})

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

C = \frac{D - d}{2 \cdot \sin (\frac{3.14 - α s}{2})}

Go Diameter of Small Pulley given Wrap Angle of Small Pulley

d = D - 2 \cdot C \cdot \sin (\frac{3.14 - α s}{2})

Go Wrap Angle for Big Pulley

α b = 3.14 + 2 \cdot a \sin (\frac{D - d}{2 \cdot C})

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

Diameter of Big Pulley given Wrap Angle for Big Pulley evaluator uses Diameter of Big Pulley = Diameter of Small Pulley+2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2) to evaluate the Diameter of Big Pulley, Diameter of Big Pulley given Wrap Angle for Big Pulley formula is defined as a method to determine the diameter of a large pulley based on the wrap angle and the center distance, ensuring optimal belt drive performance in mechanical systems. Diameter of Big Pulley is denoted by D symbol.

How to evaluate Diameter of Big Pulley given Wrap Angle for Big Pulley using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of Big Pulley given Wrap Angle for Big Pulley

What is the formula to find Diameter of Big Pulley given Wrap Angle for Big Pulley?

The formula of Diameter of Big Pulley given Wrap Angle for Big Pulley is expressed as Diameter of Big Pulley = Diameter of Small Pulley+2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2). Here is an example- 819461.9 = 0.27+2*1.575*sin((3.490658503988-3.14)/2).

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

With Diameter of Small Pulley (d), Centre Distance between Pulleys (C) & Wrap Angle on Big Pulley (α_b) we can find Diameter of Big Pulley given Wrap Angle for Big Pulley using the formula - Diameter of Big Pulley = Diameter of Small Pulley+2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Diameter of Big Pulley?

Here are the different ways to Calculate Diameter of Big Pulley-

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

Can the Diameter of Big Pulley given Wrap Angle for Big Pulley be negative?

No, the Diameter of Big Pulley given Wrap Angle for Big Pulley, measured in Length cannot be negative.

Which unit is used to measure Diameter of Big Pulley given Wrap Angle for Big Pulley?

Diameter of Big Pulley given Wrap Angle for Big Pulley is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Big Pulley given Wrap Angle for Big Pulley can be measured.

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Diameter of Big Pulley given Wrap Angle for Big Pulley Formula

​GoDiameter of Big Pulley given Wrap Angle of Small Pulley Formula

Diameter of Big Pulley given Wrap Angle for Big Pulley Example

Diameter of Big Pulley given Wrap Angle for Big Pulley Solution

Diameter of Big Pulley given Wrap Angle for Big Pulley Formula Elements

Other Formulas to find Diameter of Big Pulley

Other formulas in Introduction of Belt Drives category

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

FAQs on Diameter of Big Pulley given Wrap Angle for Big Pulley

Variable Name

GoDiameter of Big Pulley given Wrap Angle of Small Pulley Formula