Length of Belt that Passes over Follower Calculator

✖Speed of follower is the number of turns of the follower divided by time.ⓘ Speed of Follower [N_f]			+10% -10%
✖Diameter of Follower Pulley is any straight line segment that passes through the center of the follower pulley.ⓘ Diameter of Follower Pulley [d₂]			+10% -10%

✖The Length of Belt over Follower is the measurement or extent of the belt over the follower.ⓘ Length of Belt that Passes over Follower [L_beltfollower]

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Formula

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Length of Belt that Passes over Follower

Formula

`"L"_{"beltfollower"} = pi*"N"_{"f"}*"d"_{"2"}`

Example

`"0.088488m"=pi*"26rev/min"*"0.065m"`

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Length of Belt that Passes over Follower Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley
L_beltfollower = pi*N_f*d₂
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length of Belt over Follower - (Measured in Meter) - The Length of Belt over Follower is the measurement or extent of the belt over the follower.
Speed of Follower - (Measured in Hertz) - Speed of follower is the number of turns of the follower divided by time.
Diameter of Follower Pulley - (Measured in Meter) - Diameter of Follower Pulley is any straight line segment that passes through the center of the follower pulley.

STEP 1: Convert Input(s) to Base Unit

Speed of Follower: 26 Revolution per Minute --> 0.433333333333333 Hertz (Check conversion here)
Diameter of Follower Pulley: 0.065 Meter --> 0.065 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_beltfollower = pi*N_f*d₂ --> pi*0.433333333333333*0.065

Evaluating ... ...

L_beltfollower = 0.0884881930761124

STEP 3: Convert Result to Output's Unit

0.0884881930761124 Meter --> No Conversion Required

FINAL ANSWER

0.0884881930761124 ≈ 0.088488 Meter <-- Length of Belt over Follower

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Belt, Rope and Chain Drives » Belt Drive » Length of Belt that Passes over Follower

Credits

Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 20 Belt Drive Calculators

Length of Open Belt Drive

Go Total Length of Belt = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radii of Larger Pulley-Radii of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys

Cross Belt Drive Length

Go Length Belt Drive = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radii of Smaller Pulley+Radii of Larger Pulley)^2/Distance Between Centers of Two Pulleys

Frictional Force in V Belt Drive

Go Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)

Relation between Pitch and Pitch Circle Diameter of Chain Drive

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

Angle Made by Belt with Vertical Axis for Cross Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Smaller Pulley+Radii of Larger Pulley)/Distance Between Centers of Two Pulleys

Angle Made by Belt with Vertical Axis for Open Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Larger Pulley-Radii of Smaller Pulley)/Distance Between Centers of Two Pulleys

Initial Tension in Belt

Go Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2

Normal Reaction between Belt and Sides of Groove

Go Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))

Torque Exerted on Driven Pulley

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

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

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

Velocity for Transmission of Maximum Power by Belt

Go Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))

Length of Belt that Passes over Follower

Go Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley

Length of Belt that Passes over Driver

Go Length of Belt over Driver = pi*Diameter of Driver Pulley*Speed of Driver

Maximum Tension of Belt

Go Maximum Tension of Belt = Maximum Safe Stress*Belt Width*Belt Thickness

Total Percentage Slip in Belt

Go Total Percentage of Slip = Slip between Driver and Belt+Slip between Belt and Follower

Centrifugal Tension in Belt

Go Centrifugal Tension of Belt = Mass of Belt per Unit Length*Velocity of Belt

Angle of Contact for Cross Belt Drive

Go Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis

Angle of Contact for Open Belt Drive

Go Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis

Maximum Tension for Transmission of Maximum Power by Belt

Go Maximum Tension of Belt = 3*Centrifugal Tension of Belt

Length of Belt that Passes over Follower Formula

Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley
L_beltfollower = pi*N_f*d₂

Belt drive and follower

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. Most belt drives consist of flat leather, rubber, or fabric belts running on cylindrical pulleys or of belts with a V-shaped cross section running on grooved pulleys. To create an effective frictional grip on the pulleys, belts must be installed with a substantial tension. Because of the wedging action of the belts in the grooves, V belts require less tension than do flat belts and are particularly suitable for connecting shafts that are close together.

How to Calculate Length of Belt that Passes over Follower?

Length of Belt that Passes over Follower calculator uses Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley to calculate the Length of Belt over Follower, The Length of Belt that passes over Follower formula is defined as the product of the diameter of the follower and the speed of the follower. Length of Belt over Follower is denoted by L_beltfollower symbol.

How to calculate Length of Belt that Passes over Follower using this online calculator? To use this online calculator for Length of Belt that Passes over Follower, enter Speed of Follower (N_f) & Diameter of Follower Pulley (d₂) and hit the calculate button. Here is how the Length of Belt that Passes over Follower calculation can be explained with given input values -> 0.088488 = pi*0.433333333333333*0.065.

FAQ

What is Length of Belt that Passes over Follower?

The Length of Belt that passes over Follower formula is defined as the product of the diameter of the follower and the speed of the follower and is represented as L_beltfollower = pi*N_f*d₂ or Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley. Speed of follower is the number of turns of the follower divided by time & Diameter of Follower Pulley is any straight line segment that passes through the center of the follower pulley.

How to calculate Length of Belt that Passes over Follower?

The Length of Belt that passes over Follower formula is defined as the product of the diameter of the follower and the speed of the follower is calculated using Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley. To calculate Length of Belt that Passes over Follower, you need Speed of Follower (N_f) & Diameter of Follower Pulley (d₂). With our tool, you need to enter the respective value for Speed of Follower & Diameter of Follower Pulley 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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