Angle of Wrap given Tension on Loose Side of Band Calculator

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Design of Brakes

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Design of Friction Clutches

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✖Tension in tight side of band brake is the tension present in the loose side of the Band Brakes.ⓘ Tension in tight side of band brake [P₁]			+10% -10%
✖Tension in loose side of band brake is the tension present in the loose side of the Band Brakes.ⓘ Tension in loose side of band brake [P₂]			+10% -10%
✖Coefficient of friction for band brake is the ratio defining the force that resists the motion of the in relation to the drum in contact with it.ⓘ Coefficient of friction for band brake [μ_bb]			+10% -10%

✖The Angle of Wrap of Band is the angle between the run-up and run-off of the belt or the band on the drum.ⓘ Angle of Wrap given Tension on Loose Side of Band [α]

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Formula

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Angle of Wrap given Tension on Loose Side of Band

Formula

`"α" = ln("P"_{"1"}/"P"_{"2"})/"μ"_{"bb"}`

Example

`"2.278085rad"=ln("15000N"/"5260N")/"0.46"`

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Angle of Wrap given Tension on Loose Side of Band Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake
α = ln(P₁/P₂)/μ_bb
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Angle of Wrap of Band - (Measured in Radian) - The Angle of Wrap of Band is the angle between the run-up and run-off of the belt or the band on the drum.
Tension in tight side of band brake - (Measured in Newton) - Tension in tight side of band brake is the tension present in the loose side of the Band Brakes.
Tension in loose side of band brake - (Measured in Newton) - Tension in loose side of band brake is the tension present in the loose side of the Band Brakes.
Coefficient of friction for band brake - Coefficient of friction for band brake is the ratio defining the force that resists the motion of the in relation to the drum in contact with it.

STEP 1: Convert Input(s) to Base Unit

Tension in tight side of band brake: 15000 Newton --> 15000 Newton No Conversion Required
Tension in loose side of band brake: 5260 Newton --> 5260 Newton No Conversion Required
Coefficient of friction for band brake: 0.46 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = ln(P₁/P₂)/μ_bb --> ln(15000/5260)/0.46

Evaluating ... ...

α = 2.27808516163607

STEP 3: Convert Result to Output's Unit

2.27808516163607 Radian --> No Conversion Required

FINAL ANSWER

2.27808516163607 ≈ 2.278085 Radian <-- Angle of Wrap of Band

(Calculation completed in 00.008 seconds)

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Home » Physics » Design of Automobile Elements » Design of Brakes » Band Brakes » Angle of Wrap given Tension on Loose Side of Band

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 8 Band Brakes Calculators

Coefficient of Friction between Friction Lining and Brake Drum

Go Coefficient of friction for band brake = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Angle of Wrap of Band

Angle of Wrap given Tension on Loose Side of Band

Go Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake

Tension on Loose Side of Band

Go Tension in loose side of band brake = Tension in tight side of band brake/e^((Coefficient of friction for band brake)*Angle of Wrap of Band)

Tension of Tight Side of Band

Go Tension in tight side of band brake = Tension in loose side of band brake*e^(Coefficient of friction for band brake*Angle of Wrap of Band)

Radius of Brake Drum given Torque Absorbed by Brake

Go Radius of Brake Drum = Torque Absorbed by Band Brake/(Tension in tight side of band brake-Tension in loose side of band brake)

Torque Absorbed by Brake

Go Torque Absorbed by Band Brake = (Tension in tight side of band brake-Tension in loose side of band brake)*Radius of Brake Drum

Tension on Tight Side of Band given Torque Absorbed by Brake

Go Tension in tight side of band brake = Torque Absorbed by Band Brake/Radius of Brake Drum+Tension in loose side of band brake

Tension on Loose Side of Band given Torque Absorbed by Brake

Go Tension in loose side of band brake = Tension in tight side of band brake-Torque Absorbed by Band Brake/Radius of Brake Drum

Angle of Wrap given Tension on Loose Side of Band Formula

Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake
α = ln(P₁/P₂)/μ_bb

Define a Band Brake?

Band Brake is defined as a friction brake used especially in vehicles, cranes, and hoists that consists of a flexible band around a revolving drum and is operated by tightening the band.

How to Calculate Angle of Wrap given Tension on Loose Side of Band?

Angle of Wrap given Tension on Loose Side of Band calculator uses Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake to calculate the Angle of Wrap of Band, The Angle of Wrap given Tension on Loose Side of Band formula is defined as distance, expressed in degrees, that brake band wraps around brake flange. Angle of Wrap of Band is denoted by α symbol.

How to calculate Angle of Wrap given Tension on Loose Side of Band using this online calculator? To use this online calculator for Angle of Wrap given Tension on Loose Side of Band, enter Tension in tight side of band brake (P₁), Tension in loose side of band brake (P₂) & Coefficient of friction for band brake (μ_bb) and hit the calculate button. Here is how the Angle of Wrap given Tension on Loose Side of Band calculation can be explained with given input values -> 2.278085 = ln(15000/5260)/0.46.

FAQ

What is Angle of Wrap given Tension on Loose Side of Band?

The Angle of Wrap given Tension on Loose Side of Band formula is defined as distance, expressed in degrees, that brake band wraps around brake flange and is represented as α = ln(P₁/P₂)/μ_bb or Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake. Tension in tight side of band brake is the tension present in the loose side of the Band Brakes, Tension in loose side of band brake is the tension present in the loose side of the Band Brakes & Coefficient of friction for band brake is the ratio defining the force that resists the motion of the in relation to the drum in contact with it.

How to calculate Angle of Wrap given Tension on Loose Side of Band?

The Angle of Wrap given Tension on Loose Side of Band formula is defined as distance, expressed in degrees, that brake band wraps around brake flange is calculated using Angle of Wrap of Band = ln(Tension in tight side of band brake/Tension in loose side of band brake)/Coefficient of friction for band brake. To calculate Angle of Wrap given Tension on Loose Side of Band, you need Tension in tight side of band brake (P₁), Tension in loose side of band brake (P₂) & Coefficient of friction for band brake (μ_bb). With our tool, you need to enter the respective value for Tension in tight side of band brake, Tension in loose side of band brake & Coefficient of friction for band brake 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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