Length of Open Belt Drive 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%

✖Total Length of Belt is the length of the belt in the belt drive.ⓘ Length of Open Belt Drive [L'_b]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Belt Drive Formulas PDF PDF Image

Length of Open Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Length of Belt - (Measured in Meter) - Total Length of Belt is the length of the belt in the belt drive.
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+((r₁-r₂)^2)/x --> pi*(6+10)+2*30.55+((10-6)^2)/30.55

Evaluating ... ...

L'_b = 111.889214044998

STEP 3: Convert Result to Output's Unit

111.889214044998 Meter --> No Conversion Required

FINAL ANSWER

111.889214044998 ≈ 111.8892 Meter <-- Total Length of Belt

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Belt, Rope and Chain Drives » Mechanical » Belt Drive » Length of Open Belt Drive

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Belt Drive Calculators

Relation between Pitch and Pitch Circle Diameter of Chain Drive

LaTeX Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)

Torque Exerted on Driven Pulley

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

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

LaTeX Go Power Transmitted = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Velocity of Belt

Length of Open Belt Drive 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, driving shaft and driven shaft rotate in same direction. In crossed belt drive, driving shaft and driven shaft rotate in opposite direction.

How to Calculate Length of Open Belt Drive?

Length of Open Belt Drive calculator 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 calculate 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 calculate Length of Open Belt Drive using this online calculator? To use this online calculator 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. Here is how the Length of Open Belt Drive calculation can be explained with given input values -> 111.8892 = pi*(6+10)+2*30.55+((10-6)^2)/30.55.

FAQ

What is Length of Open Belt Drive?

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 and is represented as L'_b = pi*(r₂+r₁)+2*x+((r₁-r₂)^2)/x or 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. 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 Length of Open Belt Drive?

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 is calculated using 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 calculate Length of Open Belt Drive, 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.

Home

FREE PDFs

🔍 Search