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Cross Belt Drive Length Formula

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Length Measurement Belt Drive is the measurement or extent of something from end to end. Check FAQs

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

L_b - Length Measurement Belt Drive?r₂ - Radius of Smaller Pulley?r₁ - Radius of Larger Pulley?x - Distance Between Centers of Two Pulleys?π - Archimedes' constant?

Cross Belt Drive Length Example

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

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

Here is how the Cross Belt Drive Length equation looks like.

119.7452 = 3.1416 \cdot (6 + 10) + 2 \cdot 30.55 + \frac{{(6 + 10)}^{2}}{30.55}

119.7452m = 3.1416 \cdot (6m + 10m) + 2 \cdot 30.55m + \frac{{(6m + 10m)}^{2}}{30.55m}

119.7452 = 3.1416 \cdot (6 + 10) + 2 \cdot 30.55 + \frac{{(6 + 10)}^{2}}{30.55}

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Cross Belt Drive Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

L b = 119.745187858419m

LAST Step Rounding Answer

∴

L b = 119.7452m

Cross Belt Drive Length Formula Elements

Variables

Constants

Length Measurement Belt Drive

Length Measurement Belt Drive is the measurement or extent of something from end to end.

Symbol: L_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length Measurement Belt Drive

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 Cross Belt Drive Length?

Cross Belt Drive Length evaluator uses Length Measurement Belt Drive = pi*(Radius of Smaller Pulley+Radius of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radius of Smaller Pulley+Radius of Larger Pulley)^2/Distance Between Centers of Two Pulleys to evaluate the Length Measurement Belt Drive, Cross Belt Drive Length formula is defined as the total length required for the belt to wrap around two pulleys of different radii, considering the distance between them, to ensure smooth transmission of power in a belt drive system. Length Measurement Belt Drive is denoted by L_b symbol.

How to evaluate Cross Belt Drive Length using this online evaluator? To use this online evaluator for Cross Belt Drive Length, 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 Cross Belt Drive Length

What is the formula to find Cross Belt Drive Length?

The formula of Cross Belt Drive Length is expressed as Length Measurement Belt Drive = pi*(Radius of Smaller Pulley+Radius of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radius of Smaller Pulley+Radius of Larger Pulley)^2/Distance Between Centers of Two Pulleys. Here is an example- 119.7452 = pi*(6+10)+2*30.55+(6+10)^2/30.55.

How to calculate Cross Belt Drive Length?

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

Can the Cross Belt Drive Length be negative?

No, the Cross Belt Drive Length, measured in Length cannot be negative.

Which unit is used to measure Cross Belt Drive Length?

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

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Cross Belt Drive Length Formula

Cross Belt Drive Length Example

Cross Belt Drive Length Solution

Cross Belt Drive Length Formula Elements

Other formulas in Belt Drive category

How to Evaluate Cross Belt Drive Length?

FAQs on Cross Belt Drive Length

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