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

GoCenter Distance from Small Pulley to Big Pulley given Wrap Angle of Big Pulley Formula

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Centre Distance between Pulleys is the distance between the centres of the big pulley and the small pulley. Check FAQs

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

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

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

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Here is how the Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley equation looks like with Values.

Here is how the Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley equation looks like with Units.

Here is how the Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley equation looks like.

3126.3599 = \frac{810 - 270}{2 \cdot \sin (\frac{3.14 - 170}{2})}

3126.3599mm = \frac{810mm - 270mm}{2 \cdot \sin (\frac{3.14 - 170°}{2})}

3126.3599 = \frac{810 - 270}{2 \cdot \sin (\frac{3.14 - 170}{2})}

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

Follow our step by step solution on how to calculate Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{810mm - 270mm}{2 \cdot \sin (\frac{3.14 - 170°}{2})}

Next Step Convert Units

∴

C = \frac{0.81m - 0.27m}{2 \cdot \sin (\frac{3.14 - 2.9671rad}{2})}

Next Step Prepare to Evaluate

∴

C = \frac{0.81 - 0.27}{2 \cdot \sin (\frac{3.14 - 2.9671}{2})}

Next Step Evaluate

∴

C = 3.12635987005893m

Next Step Convert to Output's Unit

∴

C = 3126.35987005893mm

LAST Step Rounding Answer

∴

C = 3126.3599mm

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

Variables

Functions

Centre Distance between Pulleys

Centre Distance between Pulleys is the distance between the centres 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

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

Wrap Angle on Small Pulley

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

Symbol: α_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle on Small 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 Centre Distance between Pulleys

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

C = \frac{D - d}{2 \cdot \sin (\frac{α b - 3.14}{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 Diameter of Small Pulley given Wrap Angle of Small Pulley

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

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

Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley evaluator uses Centre Distance between Pulleys = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle on Small Pulley)/2)) to evaluate the Centre Distance between Pulleys, The Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley formula is defined as the distance in between the centers of the small pulley and the big pulley. Centre Distance between Pulleys is denoted by C symbol.

How to evaluate Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley using this online evaluator? To use this online evaluator for Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley, enter Diameter of Big Pulley (D), Diameter of Small Pulley (d) & Wrap Angle on Small Pulley (α_s) and hit the calculate button.

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

What is the formula to find Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley?

The formula of Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley is expressed as Centre Distance between Pulleys = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle on Small Pulley)/2)). Here is an example- 3.1E+6 = (0.81-0.27)/(2*sin((3.14-2.9670597283898)/2)).

How to calculate Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley?

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

What are the other ways to Calculate Centre Distance between Pulleys?

Here are the different ways to Calculate Centre Distance between Pulleys-

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

Can the Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley be negative?

No, the Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley, measured in Length cannot be negative.

Which unit is used to measure Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley?

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

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

​GoCenter Distance from Small Pulley to Big Pulley given Wrap Angle of Big Pulley Formula

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

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

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

Other Formulas to find Centre Distance between Pulleys

Other formulas in Introduction of Belt Drives category

How to Evaluate Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley?

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

Variable Name

GoCenter Distance from Small Pulley to Big Pulley given Wrap Angle of Big Pulley Formula