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Frictional Force Formula

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Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string. Check FAQs

F fri = μ hs \cdot m 2 \cdot [g] \cdot \cos (θ p)

F_fri - Force of Friction?μ_hs - Coefficient of Friction for Hanging String?m₂ - Mass of Right Body?θ_p - Inclination of Plane?[g] - Gravitational acceleration on Earth?

Frictional Force Example

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Here is how the Frictional Force equation looks like with Values.

Here is how the Frictional Force equation looks like with Units.

Here is how the Frictional Force equation looks like.

30.9761 = 0.24 \cdot 13.52 \cdot 9.8066 \cdot \cos (13.23)

30.9761N = 0.24 \cdot 13.52kg \cdot 9.8066m/s² \cdot \cos (13.23°)

30.9761 = 0.24 \cdot 13.52 \cdot 9.8066 \cdot \cos (13.23)

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Frictional Force Solution

Follow our step by step solution on how to calculate Frictional Force?

FIRST Step Consider the formula

F fri = μ hs \cdot m 2 \cdot [g] \cdot \cos (θ p)

Next Step Substitute values of Variables

∴

F fri = 0.24 \cdot 13.52kg \cdot [g] \cdot \cos (13.23°)

Next Step Substitute values of Constants

∴

F fri = 0.24 \cdot 13.52kg \cdot 9.8066m/s² \cdot \cos (13.23°)

Next Step Convert Units

∴

F fri = 0.24 \cdot 13.52kg \cdot 9.8066m/s² \cdot \cos (0.2309rad)

Next Step Prepare to Evaluate

∴

F fri = 0.24 \cdot 13.52 \cdot 9.8066 \cdot \cos (0.2309)

Next Step Evaluate

∴

F fri = 30.976073428948N

LAST Step Rounding Answer

∴

F fri = 30.9761N

Frictional Force Formula Elements

Variables

Constants

Functions

Force of Friction

Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.

Symbol: F_fri

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Coefficient of Friction for Hanging String

Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.

Symbol: μ_hs

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Hanging String

Mass of Right Body

Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Right Body

Inclination of Plane

Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

Symbol: θ_p

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Plane

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Body Lying on Rough Inclined Plane category

Go Tension in String given Coefficient of Friction of Inclined Plane

T st = \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g] \cdot (1 + \sin (θ p) + μ hs \cdot \cos (θ p))

Go Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane

a i = \frac{m 1 - m 2 \cdot \sin (θ p) - μ hs \cdot m 2 \cdot \cos (θ p)}{m 1 + m 2} \cdot [g]

Go Coefficient of Friction given Tension

μ hs = \frac{m 1 + m 2}{m 1 \cdot m 1 \cdot [g]} \cdot T st \cdot \sec (θ b) - \tan (θ b) - \sec (θ b)

Go Mass of Body B given Frictional Force

m 2 = \frac{F fri}{μ hs \cdot [g] \cdot \cos (θ p)}

How to Evaluate Frictional Force?

Frictional Force evaluator uses Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane) to evaluate the Force of Friction, Frictional Force formula is defined as the measure of the force that opposes motion between two surfaces that are in contact, resulting from the interaction between the surfaces, and is dependent on the normal force, coefficient of friction, and the angle of inclination. Force of Friction is denoted by F_fri symbol.

How to evaluate Frictional Force using this online evaluator? To use this online evaluator for Frictional Force, enter Coefficient of Friction for Hanging String (μ_hs), Mass of Right Body (m₂) & Inclination of Plane (θ_p) and hit the calculate button.

FAQs on Frictional Force

What is the formula to find Frictional Force?

The formula of Frictional Force is expressed as Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane). Here is an example- 30.97607 = 0.24*13.52*[g]*cos(0.230907060038806).

How to calculate Frictional Force?

With Coefficient of Friction for Hanging String (μ_hs), Mass of Right Body (m₂) & Inclination of Plane (θ_p) we can find Frictional Force using the formula - Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Frictional Force be negative?

No, the Frictional Force, measured in Force cannot be negative.

Which unit is used to measure Frictional Force?

Frictional Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional Force can be measured.

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