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Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Formula

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Force of Friction refers to the force generated by two surfaces that contact and slide against each other. Check FAQs

F f = \frac{M c \cdot g \cdot \sin (θ i)}{3}

F_f - Force of Friction?M_c - Mass of Cylinder?g - Acceleration Due to Gravity?θ_i - Angle of Inclination?

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Example

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Here is how the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping equation looks like with Values.

Here is how the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping equation looks like with Units.

Here is how the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping equation looks like.

22.1749 = \frac{9.6 \cdot 9.8 \cdot \sin (45)}{3}

22.1749N = \frac{9.6kg \cdot 9.8m/s² \cdot \sin (45°)}{3}

22.1749 = \frac{9.6 \cdot 9.8 \cdot \sin (45)}{3}

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Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Solution

Follow our step by step solution on how to calculate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

FIRST Step Consider the formula

F f = \frac{M c \cdot g \cdot \sin (θ i)}{3}

Next Step Substitute values of Variables

∴

F f = \frac{9.6kg \cdot 9.8m/s² \cdot \sin (45°)}{3}

Next Step Convert Units

∴

F f = \frac{9.6kg \cdot 9.8m/s² \cdot \sin (0.7854rad)}{3}

Next Step Prepare to Evaluate

∴

F f = \frac{9.6 \cdot 9.8 \cdot \sin (0.7854)}{3}

Next Step Evaluate

∴

F f = 22.1748686580069N

LAST Step Rounding Answer

∴

F f = 22.1749N

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Formula Elements

Variables

Functions

Force of Friction

Force of Friction refers to the force generated by two surfaces that contact and slide against each other.

Symbol: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Mass of Cylinder

Mass of Cylinder is the property of a body that is a measure of its inertia, which is commonly taken as a measure of the amount of material it contains.

Symbol: M_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Cylinder

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Others and Extra category

Go Angle of Repose

α r = a \tan (\frac{F lim}{R n})

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

μ = \frac{\tan (θ i)}{3}

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)}

How to Evaluate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping evaluator uses Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3 to evaluate the Force of Friction, Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping formula is defined as the measure of the force that opposes the motion of a cylinder rolling on an inclined plane surface without slipping, influenced by the mass of the cylinder, acceleration due to gravity, and the angle of inclination. Force of Friction is denoted by F_f symbol.

How to evaluate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping using this online evaluator? To use this online evaluator for Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping, enter Mass of Cylinder (M_c), Acceleration Due to Gravity (g) & Angle of Inclination (θ_i) and hit the calculate button.

FAQs on Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping

What is the formula to find Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

The formula of Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping is expressed as Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3. Here is an example- 22.17487 = (9.6*9.8*sin(0.785398163397301))/3.

How to calculate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

With Mass of Cylinder (M_c), Acceleration Due to Gravity (g) & Angle of Inclination (θ_i) we can find Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping using the formula - Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3. This formula also uses Sine function(s).

Can the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping be negative?

No, the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping, measured in Force cannot be negative.

Which unit is used to measure Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping can be measured.

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Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Formula

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Example

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Solution

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping Formula Elements

Other formulas in Others and Extra category

How to Evaluate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

FAQs on Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping

Variable Name