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Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
coefficient_of_friction = 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))/Angle of Wrap
μ = ln((P1-m*v^2)/(P2-m*v^2))/θ
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)
Angle of Wrap - Angle of Wrap is defined as the distance, expressed in degrees. (Measured in Radian)
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
Angle of Wrap: 100 Radian --> 100 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = ln((P1-m*v^2)/(P2-m*v^2))/θ --> ln((100-10*30^2)/(50-10*30^2))/100
Evaluating ... ...
μ = -5.6022555486699E-05
STEP 3: Convert Result to Output's Unit
-5.6022555486699E-05 --> No Conversion Required
FINAL ANSWER
-5.6022555486699E-05 <-- Coefficient of Friction
(Calculation completed in 00.011 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

Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given Formula

coefficient_of_friction = 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))/Angle of Wrap
μ = ln((P1-m*v^2)/(P2-m*v^2))/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 Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given?

Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given calculator uses coefficient_of_friction = 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))/Angle of Wrap to calculate the Coefficient of Friction, The Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given formula is defined as the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. Coefficient of Friction and is denoted by μ symbol.

How to calculate Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given using this online calculator? To use this online calculator for Coefficient of Friction in Between the Surfaces When Belt Tension in 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 Angle of Wrap (θ) and hit the calculate button. Here is how the Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given calculation can be explained with given input values -> -5.602E-5 = ln((100-10*30^2)/(50-10*30^2))/100.

FAQ

What is Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given?
The Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given formula is defined as the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other and is represented as μ = ln((P1-m*v^2)/(P2-m*v^2))/θ or coefficient_of_friction = 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))/Angle of Wrap. 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 Angle of Wrap is defined as the distance, expressed in degrees.
How to calculate Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given?
The Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given formula is defined as the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other is calculated using coefficient_of_friction = 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))/Angle of Wrap. To calculate Coefficient of Friction in Between the Surfaces When Belt Tension in 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 Angle of Wrap (θ). 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 Angle of Wrap 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 Coefficient of Friction?
In this formula, Coefficient of Friction uses Belt Tension in Tight Side, Mass of Meter Length of Belt, Belt Velocity, Belt Tension in loose Side and Angle of Wrap. 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 Coefficient of Friction in Between the Surfaces When Belt Tension in Tight Side is Given calculator used?
Among many, Coefficient of Friction in Between the Surfaces When Belt Tension in 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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