Coefficient of Friction using Forces Calculator

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Friction

Engineering Mechanics

General Principal to Dynamics

Properties of Planes and Solids

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✖A 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.ⓘ Centripetal Force [F_c]			+10% -10%
✖Angle of friction is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Angle of Friction [θ_f]			+10% -10%
✖The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.ⓘ Tangential Force [P_t]			+10% -10%

✖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 using Forces [μ]

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Formula

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Coefficient of Friction using Forces

Formula

`"μ" = ("F"_{"c"}*tan("θ"_{"f"})+"P"_{"t"})/("F"_{"c"}-"P"_{"t"}*tan("θ"_{"f"}))`

Example

`"0.600559"=("1200N"*tan("0.52rad")+"25N")/("1200N"-"25N"*tan("0.52rad"))`

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Coefficient of Friction using Forces Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction))
μ = (F_c*tan(θ_f)+P_t)/(F_c-P_t*tan(θ_f))
This formula uses 1 Functions, 4 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.
Centripetal Force - (Measured in Newton) - A 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.
Angle of Friction - (Measured in Radian) - Angle of friction is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Tangential Force - (Measured in Newton) - The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

STEP 1: Convert Input(s) to Base Unit

Centripetal Force: 1200 Newton --> 1200 Newton No Conversion Required
Angle of Friction: 0.52 Radian --> 0.52 Radian No Conversion Required
Tangential Force: 25 Newton --> 25 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (F_c*tan(θ_f)+P_t)/(F_c-P_t*tan(θ_f)) --> (1200*tan(0.52)+25)/(1200-25*tan(0.52))

Evaluating ... ...

μ = 0.600558852665333

STEP 3: Convert Result to Output's Unit

0.600558852665333 --> No Conversion Required

FINAL ANSWER

0.600558852665333 ≈ 0.600559 <-- Coefficient of Friction

(Calculation completed in 00.004 seconds)

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< 3 Laws of Friction Calculators

Total Torque Required to Overcome Friction in Rotating Screw

Go Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar

Coefficient of Friction using Forces

Go Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction))

Coefficient of Friction

Go Coefficient of Friction = Limiting Force/Normal Reaction

Coefficient of Friction using Forces Formula

Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction))
μ = (F_c*tan(θ_f)+P_t)/(F_c-P_t*tan(θ_f))

What does Coefficient of Friction depend on?

Coefficient of Friction depends on the nature of the materials and surface roughness. Usually, ASTM D1894-14 is the most widely used method for COF measurement. This method involves a polymer sheet or film with a fixed weight on top.

How to Calculate Coefficient of Friction using Forces?

Coefficient of Friction using Forces calculator uses Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)) to calculate the Coefficient of Friction, Coefficient of friction using forces is a dimensionless number that is defined as the ratio between friction force and normal force. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of Friction using Forces using this online calculator? To use this online calculator 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. Here is how the Coefficient of Friction using Forces calculation can be explained with given input values -> 0.600559 = (1200*tan(0.52)+25)/(1200-25*tan(0.52)).

FAQ

What is Coefficient of Friction using Forces?

Coefficient of friction using forces is a dimensionless number that is defined as the ratio between friction force and normal force and is represented as μ = (F_c*tan(θ_f)+P_t)/(F_c-P_t*tan(θ_f)) or Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)). A 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, Angle of friction is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

How to calculate Coefficient of Friction using Forces?

Coefficient of friction using forces is a dimensionless number that is defined as the ratio between friction force and normal force is calculated using Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction)). To calculate Coefficient of Friction using Forces, you need Centripetal Force (F_c), Angle of Friction (θ_f) & Tangential Force (P_t). With our tool, you need to enter the respective value for Centripetal Force, Angle of Friction & Tangential Force 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 Centripetal Force, Angle of Friction & Tangential Force. 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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