Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping Calculator

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✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_i]

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✖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.ⓘ Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping [μ]

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Formula

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Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping

Formula

μ = \frac{\tan (θ i)}{3}

Example

0.333333 = \frac{\tan (45 °)}{3}

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Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction = (tan(Angle of Inclination))/3
μ = (tan(θ_i))/3
This formula uses 1 Functions, 2 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

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.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (tan(θ_i))/3 --> (tan(0.785398163397301))/3

Evaluating ... ...

μ = 0.333333333333235

STEP 3: Convert Result to Output's Unit

0.333333333333235 --> No Conversion Required

FINAL ANSWER

0.333333333333235 ≈ 0.333333 <-- Coefficient of Friction

(Calculation completed in 00.004 seconds)

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< Angle Friction Calculators

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward

Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/tan(Angle of Inclination of Plane to Horizontal)

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward

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Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping

Go Coefficient of Friction = (tan(Angle of Inclination))/3

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping Formula

Coefficient of Friction = (tan(Angle of Inclination))/3
μ = (tan(θ_i))/3

How do you calculate the coefficient of friction?

The coefficient of friction (fr) is a number that is the ratio of the resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together. It is represented by the equation: fr = Fr/N.

What is the largest coefficient of friction?

They being said, aluminum on aluminum when both surfaces are clean, smooth, and dry has a coefficient of static friction of between 1.05 and 1.35. That's higher than unity and extremely rare. It's about as high as it gets.

How to Calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping calculator uses Coefficient of Friction = (tan(Angle of Inclination))/3 to calculate the Coefficient of Friction, Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping formula is defined as the ratio of the frictional force that prevents the cylinder from slipping to the normal force exerted by the inclined plane, which determines the maximum angle of inclination at which the cylinder can roll without slipping. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping using this online calculator? To use this online calculator for Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping, enter Angle of Inclination (θ_i) and hit the calculate button. Here is how the Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping calculation can be explained with given input values -> 0.333333 = (tan(0.785398163397301))/3.

FAQ

What is Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping formula is defined as the ratio of the frictional force that prevents the cylinder from slipping to the normal force exerted by the inclined plane, which determines the maximum angle of inclination at which the cylinder can roll without slipping and is represented as μ = (tan(θ_i))/3 or Coefficient of Friction = (tan(Angle of Inclination))/3. Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

How to calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping formula is defined as the ratio of the frictional force that prevents the cylinder from slipping to the normal force exerted by the inclined plane, which determines the maximum angle of inclination at which the cylinder can roll without slipping is calculated using Coefficient of Friction = (tan(Angle of Inclination))/3. To calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping, you need Angle of Inclination (θ_i). With our tool, you need to enter the respective value for Angle of Inclination 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 Angle of Inclination. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Friction = Limiting Force/Normal Reaction

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