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Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive 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{α a - 3.14}{2})}

C - Centre Distance between Pulleys?D - Diameter of Big Pulley?d - Diameter of Small Pulley?α_a - Wrap Angle for Cross Belt Drive?

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Example

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Here is how the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive equation looks like with Values.

Here is how the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive equation looks like with Units.

Here is how the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive equation looks like.

1575.4081 = \frac{810 + 270}{2 \cdot \sin (\frac{220 - 3.14}{2})}

1575.4081mm = \frac{810mm + 270mm}{2 \cdot \sin (\frac{220° - 3.14}{2})}

1575.4081 = \frac{810 + 270}{2 \cdot \sin (\frac{220 - 3.14}{2})}

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Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Solution

Follow our step by step solution on how to calculate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{810mm + 270mm}{2 \cdot \sin (\frac{220° - 3.14}{2})}

Next Step Convert Units

∴

C = \frac{0.81m + 0.27m}{2 \cdot \sin (\frac{3.8397rad - 3.14}{2})}

Next Step Prepare to Evaluate

∴

C = \frac{0.81 + 0.27}{2 \cdot \sin (\frac{3.8397 - 3.14}{2})}

Next Step Evaluate

∴

C = 1.57540805660995m

Next Step Convert to Output's Unit

∴

C = 1575.40805660995mm

LAST Step Rounding Answer

∴

C = 1575.4081mm

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive 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 for Cross Belt Drive

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.

Symbol: α_a

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle for Cross Belt Drive

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 in Crossed Belt Drives category

Go Wrap Angle for Small Pulley of Cross Belt Drive

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

Go Diameter of Small Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

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

Go Diameter of Big Pulley given Wrap Angle for Small Pulley of Cross Belt Drive

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

Go Belt Length for Cross Belt Drive

L = 2 \cdot C + (π \cdot \frac{d + D}{2}) + (\frac{{(D - d)}^{2}}{4 \cdot C})

How to Evaluate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

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

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

FAQs on Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive

What is the formula to find Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

The formula of Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive is expressed as Centre Distance between Pulleys = (Diameter of Big Pulley+Diameter of Small Pulley)/(2*sin((Wrap Angle for Cross Belt Drive-3.14)/2)). Here is an example- 1.6E+6 = (0.81+0.27)/(2*sin((3.8397243543868-3.14)/2)).

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

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

Can the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive be negative?

No, the Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive, measured in Length cannot be negative.

Which unit is used to measure Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

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

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Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Formula

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Example

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Solution

Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive Formula Elements

Other formulas in Crossed Belt Drives category

How to Evaluate Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive?

FAQs on Center Distance given Wrap Angle for Small Pulley of Cross Belt Drive

Variable Name