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Coefficient of Friction using Forces 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{F c \cdot \tan (θ f) + P t}{F c - P t \cdot \tan (θ f)}

μ - Coefficient of Friction?F_c - Centripetal Force?θ_f - Angle of Friction?P_t - Tangential Force?

Coefficient of Friction using Forces Example

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Here is how the Coefficient of Friction using Forces equation looks like with Values.

Here is how the Coefficient of Friction using Forces equation looks like with Units.

Here is how the Coefficient of Friction using Forces equation looks like.

0.6006 = \frac{1200 \cdot \tan (29.7938) + 25}{1200 - 25 \cdot \tan (29.7938)}

0.6006 = \frac{1200N \cdot \tan (29.7938°) + 25N}{1200N - 25N \cdot \tan (29.7938°)}

0.6006 = \frac{1200 \cdot \tan (29.7938) + 25}{1200 - 25 \cdot \tan (29.7938)}

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Coefficient of Friction using Forces Solution

Follow our step by step solution on how to calculate Coefficient of Friction using Forces?

FIRST Step Consider the formula

μ = \frac{F c \cdot \tan (θ f) + P t}{F c - P t \cdot \tan (θ f)}

Next Step Substitute values of Variables

∴

μ = \frac{1200N \cdot \tan (29.7938°) + 25N}{1200N - 25N \cdot \tan (29.7938°)}

Next Step Convert Units

∴

μ = \frac{1200N \cdot \tan (0.52rad) + 25N}{1200N - 25N \cdot \tan (0.52rad)}

Next Step Prepare to Evaluate

∴

μ = \frac{1200 \cdot \tan (0.52) + 25}{1200 - 25 \cdot \tan (0.52)}

Next Step Evaluate

∴

μ = 0.600558852669883

LAST Step Rounding Answer

∴

μ = 0.6006

Coefficient of Friction using Forces 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

Centripetal Force

Centripetal Force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the center of curvature of the path.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Centripetal Force

Angle of Friction

Angle of Friction is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ_f

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Friction

Tangential Force

Tangential Force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

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 to find Coefficient of Friction

Go Coefficient of Friction

μ = \frac{F lim}{R n}

Other formulas in Laws of Friction category

Go Total Torque Required to Overcome Friction in Rotating Screw

T = W \cdot \tan (ψ + Φ) \cdot \frac{d m}{2} + μ c \cdot W \cdot R c

How to Evaluate Coefficient of Friction using Forces?

Coefficient of Friction using Forces evaluator uses Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)) to evaluate the Coefficient of Friction, Coefficient of Friction using Forces formula is defined as a measure of the ratio of the force of friction between two surfaces in contact to the normal force between them, providing a quantitative value to describe the amount of frictional resistance present in a given situation. Coefficient of Friction is denoted by μ symbol.

How to evaluate Coefficient of Friction using Forces using this online evaluator? To use this online evaluator for Coefficient of Friction using Forces, enter Centripetal Force (F_c), Angle of Friction (θ_f) & Tangential Force (P_t) and hit the calculate button.

FAQs on Coefficient of Friction using Forces

What is the formula to find Coefficient of Friction using Forces?

The formula of Coefficient of Friction using Forces is expressed as Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)). Here is an example- 0.600559 = (1200*tan(0.520000000003344)+25)/(1200-25*tan(0.520000000003344)).

How to calculate Coefficient of Friction using Forces?

With Centripetal Force (F_c), Angle of Friction (θ_f) & Tangential Force (P_t) we can find Coefficient of Friction using Forces using the formula - Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)). This formula also uses Tangent function(s).

What are the other ways to Calculate Coefficient of Friction?

Here are the different ways to Calculate Coefficient of Friction-

Coefficient of Friction=Limiting Force/Normal Reaction

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