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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Mass of One Meter Length of Belt Solution

STEP 0: Pre-Calculation Summary
Formula Used
mass_of_meter_length_of_belt = (Belt Tension in Tight Side-(e^Coefficient of Friction*Angle of Wrap)*Belt Tension in loose Side)/(Belt Velocity^2*(1-(e^Coefficient of Friction*Angle of Wrap)))
m = (P1-(e^μ*θ)*P2)/(v^2*(1-(e^μ*θ)))
This formula uses 1 Constants, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
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)
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.
Angle of Wrap - Angle of Wrap is defined as the distance, expressed in degrees. (Measured in Radian)
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)
Belt Velocity - Belt Velocity is defined as the velocity of the belt used in a belt drive. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Belt Tension in Tight Side: 100 Newton --> 100 Newton No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
Angle of Wrap: 100 Radian --> 100 Radian No Conversion Required
Belt Tension in loose Side: 50 Newton --> 50 Newton No Conversion Required
Belt Velocity: 30 Meter per Second --> 30 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = (P1-(e^μ*θ)*P2)/(v^2*(1-(e^μ*θ))) --> (100-(e^0.2*100)*50)/(30^2*(1-(e^0.2*100)))
Evaluating ... ...
m = 0.0550969503957
STEP 3: Convert Result to Output's Unit
0.0550969503957 --> No Conversion Required
0.0550969503957 <-- Mass of Meter Length of Belt
(Calculation completed in 00.016 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((180-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-180)/2)) Go
Wrap Angle for the Small Pulley
wrap_angle_for_small_pulley = 180-2*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-180)/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-180)/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((180-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((180-Wrap Angle for Small Pulley)/2) Go
Wrap Angle for the Big Pulley
wrap_angle_for_big_pulley = 180+2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance) Go

### Mass of One Meter Length of Belt Formula

mass_of_meter_length_of_belt = (Belt Tension in Tight Side-(e^Coefficient of Friction*Angle of Wrap)*Belt Tension in loose Side)/(Belt Velocity^2*(1-(e^Coefficient of Friction*Angle of Wrap)))
m = (P1-(e^μ*θ)*P2)/(v^2*(1-(e^μ*θ)))

## Types 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 Mass of One Meter Length of Belt?

Mass of One Meter Length of Belt calculator uses mass_of_meter_length_of_belt = (Belt Tension in Tight Side-(e^Coefficient of Friction*Angle of Wrap)*Belt Tension in loose Side)/(Belt Velocity^2*(1-(e^Coefficient of Friction*Angle of Wrap))) to calculate the Mass of Meter Length of Belt, The Mass of One Meter Length of Belt formula is defined as the mass of the belt per one meter length. Mass of Meter Length of Belt and is denoted by m symbol.

How to calculate Mass of One Meter Length of Belt using this online calculator? To use this online calculator for Mass of One Meter Length of Belt, enter Belt Tension in Tight Side (P1), Coefficient of Friction (μ), Angle of Wrap (θ), Belt Tension in loose Side (P2) and Belt Velocity (v) and hit the calculate button. Here is how the Mass of One Meter Length of Belt calculation can be explained with given input values -> 0.055097 = (100-(e^0.2*100)*50)/(30^2*(1-(e^0.2*100))).

### FAQ

What is Mass of One Meter Length of Belt?
The Mass of One Meter Length of Belt formula is defined as the mass of the belt per one meter length and is represented as m = (P1-(e^μ*θ)*P2)/(v^2*(1-(e^μ*θ))) or mass_of_meter_length_of_belt = (Belt Tension in Tight Side-(e^Coefficient of Friction*Angle of Wrap)*Belt Tension in loose Side)/(Belt Velocity^2*(1-(e^Coefficient of Friction*Angle of Wrap))). Belt Tension in Tight Side is defined as the tension of the belt in the tight side of the belt, 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. , Angle of Wrap is defined as the distance, expressed in degrees, Belt Tension in loose Side is defined as the tension of the belt in the loose side of the belt and Belt Velocity is defined as the velocity of the belt used in a belt drive.
How to calculate Mass of One Meter Length of Belt?
The Mass of One Meter Length of Belt formula is defined as the mass of the belt per one meter length is calculated using mass_of_meter_length_of_belt = (Belt Tension in Tight Side-(e^Coefficient of Friction*Angle of Wrap)*Belt Tension in loose Side)/(Belt Velocity^2*(1-(e^Coefficient of Friction*Angle of Wrap))). To calculate Mass of One Meter Length of Belt, you need Belt Tension in Tight Side (P1), Coefficient of Friction (μ), Angle of Wrap (θ), Belt Tension in loose Side (P2) and Belt Velocity (v). With our tool, you need to enter the respective value for Belt Tension in Tight Side, Coefficient of Friction, Angle of Wrap, Belt Tension in loose Side and Belt Velocity 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 Mass of Meter Length of Belt?
In this formula, Mass of Meter Length of Belt uses Belt Tension in Tight Side, Coefficient of Friction, Angle of Wrap, Belt Tension in loose Side and Belt Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
• wrap_angle_for_small_pulley = 180-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance)
• center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((180-Wrap Angle for Small Pulley)/2))
• diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((180-Wrap Angle for Small Pulley)/2)
• diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((180-Wrap Angle for Small Pulley)/2)
• wrap_angle_for_big_pulley = 180+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-180)/2))
• diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((Wrap Angle for Small Pulley-180)/2)
• diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((Wrap Angle for Small Pulley-180)/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 Mass of One Meter Length of Belt calculator used?
Among many, Mass of One Meter Length of Belt calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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