Cross Belt Drive Length Calculator

✖Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.ⓘ Radius of Smaller Pulley [r₂]			+10% -10%
✖Radius of Larger Pulley is a straight line from the center to the circumference of pulley.ⓘ Radius of Larger Pulley [r₁]			+10% -10%
✖Distance Between Centers of Two Pulleys is the horizontal distance between larger and smaller pulley.ⓘ Distance Between Centers of Two Pulleys [x]			+10% -10%

✖Length Measurement Belt Drive is the measurement or extent of something from end to end.ⓘ Cross Belt Drive Length [L_b]

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Cross Belt Drive Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
L_b = pi*(r₂+r₁)+2*x+(r₂+r₁)^2/x
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length Measurement Belt Drive - (Measured in Meter) - Length Measurement Belt Drive is the measurement or extent of something from end to end.
Radius of Smaller Pulley - (Measured in Meter) - Radius of Smaller Pulley is a straight line from the center to the circumference of pulley.
Radius of Larger Pulley - (Measured in Meter) - Radius of Larger Pulley is a straight line from the center to the circumference of pulley.
Distance Between Centers of Two Pulleys - (Measured in Meter) - Distance Between Centers of Two Pulleys is the horizontal distance between larger and smaller pulley.

STEP 1: Convert Input(s) to Base Unit

Radius of Smaller Pulley: 6 Meter --> 6 Meter No Conversion Required
Radius of Larger Pulley: 10 Meter --> 10 Meter No Conversion Required
Distance Between Centers of Two Pulleys: 30.55 Meter --> 30.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_b = pi*(r₂+r₁)+2*x+(r₂+r₁)^2/x --> pi*(6+10)+2*30.55+(6+10)^2/30.55

Evaluating ... ...

L_b = 119.745187858419

STEP 3: Convert Result to Output's Unit

119.745187858419 Meter --> No Conversion Required

FINAL ANSWER

119.745187858419 ≈ 119.7452 Meter <-- Length Measurement Belt Drive

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

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< Belt Drive Calculators

Relation between Pitch and Pitch Circle Diameter of Chain Drive

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Torque Exerted on Driven Pulley

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Torque Exerted on Driving Pulley

LaTeX Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Driver/2

Power Transmitted by Belt

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Cross Belt Drive Length Formula

LaTeX Go

What is a belt drive used for?

Belt drive, in machinery, a pair of pulleys attached to usually parallel shafts and connected by an encircling flexible belt (band) that can serve to transmit and modify rotary motion from one shaft to the other.

Difference Between Open Belt Drive and Cross Belt Drive?

In open belt drive, the driving shaft and driven shaft rotate in the same direction. In crossed belt drive, the driving shaft and driven shaft rotate in opposite directions.

How to Calculate Cross Belt Drive Length?

Cross Belt Drive Length calculator 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 calculate 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 calculate Cross Belt Drive Length using this online calculator? To use this online calculator 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. Here is how the Cross Belt Drive Length calculation can be explained with given input values -> 119.7452 = pi*(6+10)+2*30.55+(6+10)^2/30.55.

FAQ

What is Cross Belt Drive Length?

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 and is represented as L_b = pi*(r₂+r₁)+2*x+(r₂+r₁)^2/x or 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. Radius of Smaller Pulley is a straight line from the center to the circumference of pulley, Radius of Larger Pulley is a straight line from the center to the circumference of pulley & Distance Between Centers of Two Pulleys is the horizontal distance between larger and smaller pulley.

How to calculate Cross Belt Drive Length?

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 is calculated using 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 calculate Cross Belt Drive Length, you need Radius of Smaller Pulley (r₂), Radius of Larger Pulley (r₁) & Distance Between Centers of Two Pulleys (x). With our tool, you need to enter the respective value for Radius of Smaller Pulley, Radius of Larger Pulley & Distance Between Centers of Two Pulleys and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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