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Angle of Wrap given Tension on Loose Side of Band Formula

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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. Check FAQs

α = \frac{\ln (\frac{P 1}{P 2})}{μ b}

α - Angle of Wrap of Band?P₁ - Tension in Tight Side of Band Brake?P₂ - Tension in Loose Side of Band Brake?μ_b - Coefficient of Friction For Band Brake?

Angle of Wrap given Tension on Loose Side of Band Example

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Here is how the Angle of Wrap given Tension on Loose Side of Band equation looks like with Values.

Here is how the Angle of Wrap given Tension on Loose Side of Band equation looks like with Units.

Here is how the Angle of Wrap given Tension on Loose Side of Band equation looks like.

2.2781 = \frac{\ln (\frac{15000}{5260})}{0.46}

2.2781rad = \frac{\ln (\frac{15000N}{5260N})}{0.46}

2.2781 = \frac{\ln (\frac{15000}{5260})}{0.46}

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Design of Automobile Elements » fx Angle of Wrap given Tension on Loose Side of Band

Angle of Wrap given Tension on Loose Side of Band Solution

Follow our step by step solution on how to calculate Angle of Wrap given Tension on Loose Side of Band?

FIRST Step Consider the formula

α = \frac{\ln (\frac{P 1}{P 2})}{μ b}

Next Step Substitute values of Variables

∴

α = \frac{\ln (\frac{15000N}{5260N})}{0.46}

Next Step Prepare to Evaluate

∴

α = \frac{\ln (\frac{15000}{5260})}{0.46}

Next Step Evaluate

∴

α = 2.27808516163607rad

LAST Step Rounding Answer

∴

α = 2.2781rad

Angle of Wrap given Tension on Loose Side of Band Formula Elements

Variables

Functions

Angle of Wrap of Band

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.

Symbol: α

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Wrap of Band

Tension in Tight Side of Band Brake

Tension in Tight Side of Band Brake is the tension present in the loose side of the Band Brakes.

Symbol: P₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension in Tight Side of Band Brake

Tension in Loose Side of Band Brake

Tension in Loose Side of Band Brake is the tension present in the loose side of the Band Brakes.

Symbol: P₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension in Loose Side of Band Brake

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.

Symbol: μ_b

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction For Band Brake

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Band Brakes category

Go Tension of Tight Side of Band

P 1 = P 2 \cdot e^{μ b \cdot α}

Go Tension on Loose Side of Band

P 2 = \frac{P 1}{e^{(μ b) \cdot α}}

Go Coefficient of Friction between Friction Lining and Brake Drum

μ b = \frac{\ln (\frac{P 1}{P 2})}{α}

Go Torque Absorbed by Brake

M t = (P 1 - P 2) \cdot r

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

Angle of Wrap given Tension on Loose Side of Band evaluator 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 evaluate 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 evaluate Angle of Wrap given Tension on Loose Side of Band using this online evaluator? To use this online evaluator 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_b) and hit the calculate button.

FAQs on Angle of Wrap given Tension on Loose Side of Band

What is the formula to find Angle of Wrap given Tension on Loose Side of Band?

The formula of Angle of Wrap given Tension on Loose Side of Band is expressed as 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. Here is an example- 2.278085 = ln(15000/5260)/0.46.

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

With Tension in Tight Side of Band Brake (P₁), Tension in Loose Side of Band Brake (P₂) & Coefficient of Friction For Band Brake (μ_b) we can find Angle of Wrap given Tension on Loose Side of Band using the 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. This formula also uses Natural Logarithm (ln) function(s).

Can the Angle of Wrap given Tension on Loose Side of Band be negative?

No, the Angle of Wrap given Tension on Loose Side of Band, measured in Angle cannot be negative.

Which unit is used to measure Angle of Wrap given Tension on Loose Side of Band?

Angle of Wrap given Tension on Loose Side of Band is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angle of Wrap given Tension on Loose Side of Band can be measured.

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Angle of Wrap given Tension on Loose Side of Band Formula

Angle of Wrap given Tension on Loose Side of Band Example

Angle of Wrap given Tension on Loose Side of Band Solution

Angle of Wrap given Tension on Loose Side of Band Formula Elements

Other formulas in Band Brakes category

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

FAQs on Angle of Wrap given Tension on Loose Side of Band

Variable Name