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Angle of Wrap When Tension on the Loose Side of the Band is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction
θ = ln(T1/P2)/μ
This formula uses 1 Functions, 3 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Tension in the tight side of the band - Tension in the tight side of the band is described as the pulling force transmitted axially by the means of a string, a cable, chain etc. (Measured in Newton)
Tension on loose Side - Tension on loose Side is the tension present in the loose side of the Band in the Band Brakes. (Measured in Newton)
Coefficient of Friction- The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1.
STEP 1: Convert Input(s) to Base Unit
Tension in the tight side of the band: 12 Newton --> 12 Newton No Conversion Required
Tension on loose Side: 50 Newton --> 50 Newton No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = ln(T1/P2)/μ --> ln(12/50)/0.2
Evaluating ... ...
θ = -7.13558177820073
STEP 3: Convert Result to Output's Unit
-7.13558177820073 Radian --> No Conversion Required
FINAL ANSWER
-7.13558177820073 Radian <-- Angle of Wrap
(Calculation completed in 00.007 seconds)

8 Band Brakes Calculators

Coefficient of Friction between the Friction Lining and the Brake Drum
coefficient_of_friction = ln(Tension in the tight side of the band/Tension on loose Side)/Angle of Wrap Go
Angle of Wrap When Tension on the Loose Side of the Band is Given
angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction Go
Tension on the Loose Side of the Band
tension_on_loose_side = Tension in the tight side of the band/e^(Coefficient of Friction*Angle of Wrap) Go
Tension of the Tight Side of the Band
tension_in_tight_side_band = Tension on loose Side*e^(Coefficient of Friction*Angle of Wrap) Go
Tension on the Loose Side of the Band When Torque Absorbed by the Brake is Given
tension_on_loose_side = Tension in the tight side of the band-(Torque/Radius of the drum) Go
Torque Absorbed by the Brake
torque = (Tension in the tight side of the band-Tension on loose Side)*Radius of the drum Go
Radius of Brake Drum When Torque Absorbed by the Brake is Given
radius_of_drum = Torque/(Tension in the tight side of the band-Tension on loose Side) Go
Tension on the Tight Side of the Band When Torque Absorbed by the Brake is Given
tension_in_tight_side_band = (Torque/Radius of the drum)+Tension on loose Side Go

Angle of Wrap When Tension on the Loose Side of the Band is Given Formula

angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction
θ = ln(T1/P2)/μ

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 When Tension on the Loose Side of the Band is Given?

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

How to calculate Angle of Wrap When Tension on the Loose Side of the Band is Given using this online calculator? To use this online calculator for Angle of Wrap When Tension on the Loose Side of the Band is Given, enter Tension in the tight side of the band (T1, Tension on loose Side (P2) and Coefficient of Friction (μ) and hit the calculate button. Here is how the Angle of Wrap When Tension on the Loose Side of the Band is Given calculation can be explained with given input values -> -7.135582 = ln(12/50)/0.2.

FAQ

What is Angle of Wrap When Tension on the Loose Side of the Band is Given?
The Angle of Wrap When Tension on the Loose Side of the Band is Given formula is defined as the distance, expressed in degrees, that the brake band wraps around the brake flange and is represented as θ = ln(T1/P2)/μ or angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction. Tension in the tight side of the band is described as the pulling force transmitted axially by the means of a string, a cable, chain etc, Tension on loose Side is the tension present in the loose side of the Band in the Band Brakes and The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1. .
How to calculate Angle of Wrap When Tension on the Loose Side of the Band is Given?
The Angle of Wrap When Tension on the Loose Side of the Band is Given formula is defined as the distance, expressed in degrees, that the brake band wraps around the brake flange is calculated using angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction. To calculate Angle of Wrap When Tension on the Loose Side of the Band is Given, you need Tension in the tight side of the band (T1, Tension on loose Side (P2) and Coefficient of Friction (μ). With our tool, you need to enter the respective value for Tension in the tight side of the band, Tension on loose Side and Coefficient of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angle of Wrap?
In this formula, Angle of Wrap uses Tension in the tight side of the band, Tension on loose Side and Coefficient of Friction. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • tension_in_tight_side_band = Tension on loose Side*e^(Coefficient of Friction*Angle of Wrap)
  • tension_on_loose_side = Tension in the tight side of the band/e^(Coefficient of Friction*Angle of Wrap)
  • coefficient_of_friction = ln(Tension in the tight side of the band/Tension on loose Side)/Angle of Wrap
  • angle_of_wrap = ln(Tension in the tight side of the band/Tension on loose Side)/Coefficient of Friction
  • torque = (Tension in the tight side of the band-Tension on loose Side)*Radius of the drum
  • tension_in_tight_side_band = (Torque/Radius of the drum)+Tension on loose Side
  • tension_on_loose_side = Tension in the tight side of the band-(Torque/Radius of the drum)
  • radius_of_drum = Torque/(Tension in the tight side of the band-Tension on loose Side)
Where is the Angle of Wrap When Tension on the Loose Side of the Band is Given calculator used?
Among many, Angle of Wrap When Tension on the Loose Side of the Band is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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