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Length of Open Belt Drive Formula

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Total Length of Belt is the length of the belt in the belt drive. Check FAQs

L' b = π \cdot (r 2 + r 1) + 2 \cdot x + \frac{{(r 1 - r 2)}^{2}}{x}

L'_b - Total Length of Belt?r₂ - Radius of Smaller Pulley?r₁ - Radius of Larger Pulley?x - Distance Between Centers of Two Pulleys?π - Archimedes' constant?

Length of Open Belt Drive Example

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Here is how the Length of Open Belt Drive equation looks like with Values.

Here is how the Length of Open Belt Drive equation looks like with Units.

Here is how the Length of Open Belt Drive equation looks like.

111.8892 = 3.1416 \cdot (6 + 10) + 2 \cdot 30.55 + \frac{{(10 - 6)}^{2}}{30.55}

111.8892m = 3.1416 \cdot (6m + 10m) + 2 \cdot 30.55m + \frac{{(10m - 6m)}^{2}}{30.55m}

111.8892 = 3.1416 \cdot (6 + 10) + 2 \cdot 30.55 + \frac{{(10 - 6)}^{2}}{30.55}

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Length of Open Belt Drive Solution

Follow our step by step solution on how to calculate Length of Open Belt Drive?

FIRST Step Consider the formula

L' b = π \cdot (r 2 + r 1) + 2 \cdot x + \frac{{(r 1 - r 2)}^{2}}{x}

Next Step Substitute values of Variables

∴

L' b = π \cdot (6m + 10m) + 2 \cdot 30.55m + \frac{{(10m - 6m)}^{2}}{30.55m}

Next Step Substitute values of Constants

∴

L' b = 3.1416 \cdot (6m + 10m) + 2 \cdot 30.55m + \frac{{(10m - 6m)}^{2}}{30.55m}

Next Step Prepare to Evaluate

∴

L' b = 3.1416 \cdot (6 + 10) + 2 \cdot 30.55 + \frac{{(10 - 6)}^{2}}{30.55}

Next Step Evaluate

∴

L' b = 111.889214044998m

LAST Step Rounding Answer

∴

L' b = 111.8892m

Length of Open Belt Drive Formula Elements

Variables

Constants

Total Length of Belt

Total Length of Belt is the length of the belt in the belt drive.

Symbol: L'_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Length of Belt

Radius of Smaller Pulley

Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Smaller Pulley

Radius of Larger Pulley

Radius of Larger Pulley is a straight line from the center to the circumference of pulley.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Larger Pulley

Distance Between Centers of Two Pulleys

Distance Between Centers of Two Pulleys is the horizontal distance between larger and smaller pulley.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Centers of Two Pulleys

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Belt Drive category

Go Power Transmitted by Belt

P = (T 1 - T 2) \cdot v

Go Relation between Pitch and Pitch Circle Diameter of Chain Drive

d p = P c \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{t s})

Go Torque Exerted on Driving Pulley

τ = (T 1 - T 2) \cdot \frac{d d}{2}

Go Torque Exerted on Driven Pulley

τ = (T 1 - T 2) \cdot \frac{d f}{2}

How to Evaluate Length of Open Belt Drive?

Length of Open Belt Drive evaluator uses Total Length of Belt = pi*(Radius of Smaller Pulley+Radius of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radius of Larger Pulley-Radius of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys to evaluate the Total Length of Belt, Length of Open Belt Drive formula is defined as the total distance around the belt considering the radius of the two pulleys and the distance between their centers, providing the overall length of the open belt drive system in a mechanical setup. Total Length of Belt is denoted by L'_b symbol.

How to evaluate Length of Open Belt Drive using this online evaluator? To use this online evaluator for Length of Open Belt Drive, enter Radius of Smaller Pulley (r₂), Radius of Larger Pulley (r₁) & Distance Between Centers of Two Pulleys (x) and hit the calculate button.

FAQs on Length of Open Belt Drive

What is the formula to find Length of Open Belt Drive?

The formula of Length of Open Belt Drive is expressed as Total Length of Belt = pi*(Radius of Smaller Pulley+Radius of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radius of Larger Pulley-Radius of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys. Here is an example- 111.8892 = pi*(6+10)+2*30.55+((10-6)^2)/30.55.

How to calculate Length of Open Belt Drive?

With Radius of Smaller Pulley (r₂), Radius of Larger Pulley (r₁) & Distance Between Centers of Two Pulleys (x) we can find Length of Open Belt Drive using the formula - Total Length of Belt = pi*(Radius of Smaller Pulley+Radius of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radius of Larger Pulley-Radius of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys. This formula also uses Archimedes' constant .

Can the Length of Open Belt Drive be negative?

Yes, the Length of Open Belt Drive, measured in Length can be negative.

Which unit is used to measure Length of Open Belt Drive?

Length of Open Belt Drive is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Open Belt Drive can be measured.

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Length of Open Belt Drive Formula

Length of Open Belt Drive Example

Length of Open Belt Drive Solution

Length of Open Belt Drive Formula Elements

Other formulas in Belt Drive category

How to Evaluate Length of Open Belt Drive?

FAQs on Length of Open Belt Drive

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