Coefficient of Friction in between Surfaces given Belt Tension in Tight Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley
μ = ln((P1-m*vb^2)/(P2-m*vb^2))/α
This formula uses 1 Functions, 6 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Coefficient of Friction for Belt Drive - Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.
Belt Tension on Tight Side - (Measured in Newton) - Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.
Mass of Meter Length of Belt - (Measured in Kilogram per Meter) - 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 - (Measured in Meter per Second) - Belt Velocity is defined as the velocity of the belt used in a belt drive.
Belt Tension on Loose Side - (Measured in Newton) - Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.
Wrap Angle on Pulley - (Measured in Radian) - Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.
STEP 1: Convert Input(s) to Base Unit
Belt Tension on Tight Side: 800 Newton --> 800 Newton No Conversion Required
Mass of Meter Length of Belt: 0.6 Kilogram per Meter --> 0.6 Kilogram per Meter No Conversion Required
Belt Velocity: 25.81 Meter per Second --> 25.81 Meter per Second No Conversion Required
Belt Tension on Loose Side: 550 Newton --> 550 Newton No Conversion Required
Wrap Angle on Pulley: 160.2 Degree --> 2.79601746169439 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = ln((P1-m*vb^2)/(P2-m*vb^2))/α --> ln((800-0.6*25.81^2)/(550-0.6*25.81^2))/2.79601746169439
Evaluating ... ...
μ = 0.350339237591728
STEP 3: Convert Result to Output's Unit
0.350339237591728 --> No Conversion Required
FINAL ANSWER
0.350339237591728 0.350339 <-- Coefficient of Friction for Belt Drive
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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15 Introductory Formulas for Belt Drives Calculators

Velocity of belt given tension of belt in tight side
Go Belt Velocity = sqrt((((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*Belt Tension on Loose Side)-Belt Tension on Tight Side)/(Mass of Meter Length of Belt*((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))-1)))
Angle of Wrap given Belt Tension in Tight Side
Go Wrap Angle on Pulley = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-(Mass of Meter Length of Belt*Belt Velocity^2)))/Coefficient of Friction for Belt Drive
Mass per unit length of belt
Go Mass of Meter Length of Belt = (Belt Tension on Tight Side-((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*Belt Tension on Loose Side))/((Belt Velocity^2)*(1-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))))
Coefficient of Friction in between Surfaces given Belt Tension in Tight Side
Go Coefficient of Friction for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley
Belt Tension in Loose Side of Belt given Tension in Tight Side
Go Belt Tension on Loose Side = ((Belt Tension on Tight Side-(Mass of Meter Length of Belt*Belt Velocity^2))/(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley)))+(Mass of Meter Length of Belt*Belt Velocity^2)
Belt tension in tight side
Go Belt Tension on Tight Side = ((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*(Belt Tension on Loose Side-(Mass of Meter Length of Belt*Belt Velocity^2)))+(Mass of Meter Length of Belt*Belt Velocity^2)
Length of Belt
Go Belt Length = (2*Centre Distance between Pulleys)+(pi*(Diameter of Big Pulley+Diameter of Small Pulley)/2)+(((Diameter of Big Pulley-Diameter of Small Pulley)^2)/(4*Centre Distance between Pulleys))
Wrap Angle for Small Pulley
Go Wrap Angle on Small Pulley = 3.14-(2*(asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys))))
Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley
Go Centre Distance between Pulleys = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle on Small Pulley)/2))
Wrap Angle for Big Pulley
Go Wrap Angle on Big Pulley = 3.14+(2*(asin((Diameter of Big Pulley-Diameter of Small Pulley)/(2*Centre Distance between Pulleys))))
Center Distance from Small Pulley to Big Pulley given Wrap Angle of Big Pulley
Go Centre Distance between Pulleys = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((Wrap Angle on Big Pulley-3.14)/2))
Diameter of Small Pulley given Wrap Angle of Small Pulley
Go Diameter of Small Pulley = Diameter of Big Pulley-(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))
Diameter of Big Pulley given Wrap Angle of Small Pulley
Go Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((3.14-Wrap Angle on Small Pulley)/2))
Diameter of Small Pulley given Wrap Angle of Big Pulley
Go Diameter of Small Pulley = Diameter of Big Pulley-(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2))
Diameter of Big Pulley given Wrap Angle for Big Pulley
Go Diameter of Big Pulley = Diameter of Small Pulley+(2*Centre Distance between Pulleys*sin((Wrap Angle on Big Pulley-3.14)/2))

Coefficient of Friction in between Surfaces given Belt Tension in Tight Side Formula

Coefficient of Friction for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley
μ = ln((P1-m*vb^2)/(P2-m*vb^2))/α

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 Surfaces given Belt Tension in Tight Side?

Coefficient of Friction in between Surfaces given Belt Tension in Tight Side calculator uses Coefficient of Friction for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley to calculate the Coefficient of Friction for Belt Drive, The Coefficient of Friction in between Surfaces given Belt Tension in Tight Side 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 for Belt Drive is denoted by μ symbol.

How to calculate Coefficient of Friction in between Surfaces given Belt Tension in Tight Side using this online calculator? To use this online calculator for Coefficient of Friction in between Surfaces given Belt Tension in Tight Side, enter Belt Tension on Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (vb), Belt Tension on Loose Side (P2) & Wrap Angle on Pulley (α) and hit the calculate button. Here is how the Coefficient of Friction in between Surfaces given Belt Tension in Tight Side calculation can be explained with given input values -> 0.350339 = ln((800-0.6*25.81^2)/(550-0.6*25.81^2))/2.79601746169439.

FAQ

What is Coefficient of Friction in between Surfaces given Belt Tension in Tight Side?
The Coefficient of Friction in between Surfaces given Belt Tension in Tight Side 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*vb^2)/(P2-m*vb^2))/α or Coefficient of Friction for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley. Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side, 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 on Loose Side is defined as the belt's tension on the belt's loose side & Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.
How to calculate Coefficient of Friction in between Surfaces given Belt Tension in Tight Side?
The Coefficient of Friction in between Surfaces given Belt Tension in Tight Side 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 for Belt Drive = ln((Belt Tension on Tight Side-Mass of Meter Length of Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of Belt*Belt Velocity^2))/Wrap Angle on Pulley. To calculate Coefficient of Friction in between Surfaces given Belt Tension in Tight Side, you need Belt Tension on Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (vb), Belt Tension on Loose Side (P2) & Wrap Angle on Pulley (α). With our tool, you need to enter the respective value for Belt Tension on Tight Side, Mass of Meter Length of Belt, Belt Velocity, Belt Tension on Loose Side & Wrap Angle on Pulley and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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