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

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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. Check FAQs

μ = \frac{\tan (θ i)}{3}

μ - Coefficient of Friction?θ_i - Angle of Inclination?

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

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Here is how the Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping equation looks like with Values.

Here is how the Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping equation looks like with Units.

Here is how the Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping equation looks like.

0.3333 = \frac{\tan (45)}{3}

0.3333 = \frac{\tan (45°)}{3}

0.3333 = \frac{\tan (45)}{3}

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

Follow our step by step solution on how to calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?

FIRST Step Consider the formula

μ = \frac{\tan (θ i)}{3}

Next Step Substitute values of Variables

∴

μ = \frac{\tan (45°)}{3}

Next Step Convert Units

∴

μ = \frac{\tan (0.7854rad)}{3}

Next Step Prepare to Evaluate

∴

μ = \frac{\tan (0.7854)}{3}

Next Step Evaluate

∴

μ = 0.333333333333235

LAST Step Rounding Answer

∴

μ = 0.3333

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

Variables

Functions

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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

Angle of Inclination

Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

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.

Syntax: tan(Angle)

Other formulas in Others and Extra category

Go Angle of Repose

α r = a \tan (\frac{F lim}{R n})

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

η = \frac{\tan (α i - Φ)}{\tan (α i)}

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

η = \frac{\tan (α i)}{\tan (α i + Φ)}

Go Efficiency of Inclined Plane when Effort Applied Parallel to Move Body Downward

η = \frac{\sin (α i - Φ)}{\sin (α i) \cdot \cos (Φ)}

How to Evaluate 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 evaluator uses Coefficient of Friction = (tan(Angle of Inclination))/3 to evaluate 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 evaluate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping using this online evaluator? To use this online evaluator 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.

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

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

The formula of Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping is expressed as Coefficient of Friction = (tan(Angle of Inclination))/3. Here is an example- 0.333333 = (tan(0.785398163397301))/3.

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

With Angle of Inclination (θ_i) we can find Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping using the formula - Coefficient of Friction = (tan(Angle of Inclination))/3. This formula also uses Tangent function(s).

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