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## Credits

Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Angle of Wrap When Belt Tension in the Tight Side is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle_of_wrap = ln((Belt Tension in Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Coefficient of Friction
θ = ln((P1-m*v^2)/(P2-m*v^2))/μ
This formula uses 1 Functions, 5 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Belt Tension in Tight Side - Belt Tension in Tight Side is defined as the tension of the belt in the tight side of the belt. (Measured in Newton)
Mass of Meter Length of Belt- Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
Belt Velocity - Belt Velocity is defined as the velocity of the belt used in a belt drive. (Measured in Meter per Second)
Belt Tension in loose Side - Belt Tension in loose Side is defined as the tension of the belt in the loose side of the belt. (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
Belt Tension in Tight Side: 100 Newton --> 100 Newton No Conversion Required
Mass of Meter Length of Belt: 10 --> No Conversion Required
Belt Velocity: 30 Meter per Second --> 30 Meter per Second No Conversion Required
Belt Tension in 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((P1-m*v^2)/(P2-m*v^2))/μ --> ln((100-10*30^2)/(50-10*30^2))/0.2
Evaluating ... ...
θ = -0.0280112777433495
STEP 3: Convert Result to Output's Unit
-0.0280112777433495 Radian --> No Conversion Required
-0.0280112777433495 Radian <-- Angle of Wrap
(Calculation completed in 00.017 seconds)

## < 10+ Design of Belt Drives Calculators

Belt Tension in the Tight Side
belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2 Go
Length of the Belt
belt_length = 2*Center Distance+(pi*(Diameter of Big Pulley+Diameter of Small Pulley)/2)+((Diameter of Big Pulley-Diameter of Small Pulley)^2/4*Center Distance) Go
Center Distance from Small Pulley to Big Pulley When Wrap Angle of Small Pulley is Given
center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle for Small Pulley)/2)) Go
Center Distance from Small Pulley to Big Pulley When Wrap Angle of Big Pulley is Given
center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)) Go
Wrap Angle for the Small Pulley
wrap_angle_for_small_pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance) Go
Diameter of Small Pully When Wrap Angle of the Big Pulley is Given
diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2) Go
Diameter of Big Pulley When Wrap Angle for the Big Pulley is Given
diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2) Go
Diameter of Small Pulley When Wrap Angle of Small Pulley is Given
diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2) Go
Diameter of Big Pulley When Wrap Angle of Small Pulley is Given
diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2) Go
Wrap Angle for the Big Pulley
wrap_angle_for_big_pulley = 3.14+2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance) Go

### Angle of Wrap When Belt Tension in the Tight Side is Given Formula

angle_of_wrap = ln((Belt Tension in Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Coefficient of Friction
θ = ln((P1-m*v^2)/(P2-m*v^2))/μ

## What are theTypes of Belt Drives?

There are five different kinds of belt drive that can be found and those are: Open belt drive. Closed or crossed belt drive. Fast and loose cone pulley. Stepped cone pulley. Jockey pulley drive.

## How to Calculate Angle of Wrap When Belt Tension in the Tight Side is Given?

Angle of Wrap When Belt Tension in the Tight Side is Given calculator uses angle_of_wrap = ln((Belt Tension in Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Coefficient of Friction to calculate the Angle of Wrap, The Angle of Wrap When Belt Tension in the Tight Side is Given formula is defined as the angle between the run-up and run-off of the belt on the pulley. Angle of Wrap and is denoted by θ symbol.

How to calculate Angle of Wrap When Belt Tension in the Tight Side is Given using this online calculator? To use this online calculator for Angle of Wrap When Belt Tension in the Tight Side is Given, enter Belt Tension in Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (v), Belt Tension in loose Side (P2) and Coefficient of Friction (μ) and hit the calculate button. Here is how the Angle of Wrap When Belt Tension in the Tight Side is Given calculation can be explained with given input values -> -0.028011 = ln((100-10*30^2)/(50-10*30^2))/0.2.

### FAQ

What is Angle of Wrap When Belt Tension in the Tight Side is Given?
The Angle of Wrap When Belt Tension in the Tight Side is Given formula is defined as the angle between the run-up and run-off of the belt on the pulley and is represented as θ = ln((P1-m*v^2)/(P2-m*v^2))/μ or angle_of_wrap = ln((Belt Tension in Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Coefficient of Friction. Belt Tension in Tight Side is defined as the tension of the belt in the tight side of the belt, Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt, Belt Velocity is defined as the velocity of the belt used in a belt drive, Belt Tension in loose Side is defined as the tension of the belt in the loose side of the belt 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 Belt Tension in the Tight Side is Given?
The Angle of Wrap When Belt Tension in the Tight Side is Given formula is defined as the angle between the run-up and run-off of the belt on the pulley is calculated using angle_of_wrap = ln((Belt Tension in Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Coefficient of Friction. To calculate Angle of Wrap When Belt Tension in the Tight Side is Given, you need Belt Tension in Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (v), Belt Tension in loose Side (P2) and Coefficient of Friction (μ). With our tool, you need to enter the respective value for Belt Tension in Tight Side, Mass of Meter Length of Belt, Belt Velocity, Belt Tension in 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 Belt Tension in Tight Side, Mass of Meter Length of Belt, Belt Velocity, Belt Tension in loose Side and Coefficient of Friction. We can use 10 other way(s) to calculate the same, which is/are as follows -
• wrap_angle_for_small_pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance)
• center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle for Small Pulley)/2))
• diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2)
• diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2)
• wrap_angle_for_big_pulley = 3.14+2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance)
• center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
• diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)
• diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)
• belt_length = 2*Center Distance+(pi*(Diameter of Big Pulley+Diameter of Small Pulley)/2)+((Diameter of Big Pulley-Diameter of Small Pulley)^2/4*Center Distance)
• belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2
Where is the Angle of Wrap When Belt Tension in the Tight Side is Given calculator used?
Among many, Angle of Wrap When Belt Tension in the Tight Side is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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