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

✖Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.ⓘ Belt Tension on Tight Side [P₁]			+10% -10%
✖Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.ⓘ Mass of Meter Length of Belt [m]			+10% -10%
✖Belt Velocity is defined as the velocity of the belt used in a belt drive.ⓘ Belt Velocity [v_b]			+10% -10%
✖Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.ⓘ Belt Tension on Loose Side [P₂]			+10% -10%
✖Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.ⓘ Wrap Angle on Pulley [α]			+10% -10%

✖Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.ⓘ Coefficient of Friction in between Surfaces given Belt Tension in Tight Side [μ]

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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*v_b^2)/(P₂-m*v_b^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*v_b^2)/(P₂-m*v_b^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 00.035 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » Introduction of Belt Drives » Coefficient of Friction in between Surfaces given Belt Tension in Tight Side

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Osmania University (OU), Hyderabad

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< Introduction of Belt Drives Calculators

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))

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))

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

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 (v_b), 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*v_b^2)/(P₂-m*v_b^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 (v_b), 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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