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

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Others and Extra Aerospace Basic Physics Mechanical

✖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.ⓘ Mass of Cylinder [M_c]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_i]			+10% -10%

✖Force of Friction refers to the force generated by two surfaces that contact and slide against each other.ⓘ Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping [F_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3
F_f = (M_c*g*sin(θ_i))/3
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Force of Friction - (Measured in Newton) - Force of Friction refers to the force generated by two surfaces that contact and slide against each other.
Mass of Cylinder - (Measured in Kilogram) - 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.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

STEP 1: Convert Input(s) to Base Unit

Mass of Cylinder: 9.6 Kilogram --> 9.6 Kilogram No Conversion Required
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Inclination: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_f = (M_c*g*sin(θ_i))/3 --> (9.6*9.8*sin(0.785398163397301))/3

Evaluating ... ...

F_f = 22.1748686580069

STEP 3: Convert Result to Output's Unit

22.1748686580069 Newton --> No Conversion Required

FINAL ANSWER

22.1748686580069 ≈ 22.17487 Newton <-- Force of Friction

(Calculation completed in 00.020 seconds)

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

LaTeX Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/tan(Angle of Inclination of Plane to Horizontal)

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

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LaTeX Go Angle of Repose = atan(Limiting Force/Normal Reaction)

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

LaTeX Go Coefficient of Friction = (tan(Angle of Inclination))/3

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

LaTeX Go

Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3
F_f = (M_c*g*sin(θ_i))/3

What is called force of friction?

The friction force is the force exerted by a surface as an object moves across it or makes an effort to move across it. There are at least two types of friction force - sliding and static friction. Though it is not always the case, the friction force often opposes the motion of an object.

What is law of friction?

When an object is moving, the friction is proportional and perpendicular to the normal force (N) Friction is independent of the area of contact so long as there is an area of contact. The coefficient of static friction is slightly greater than the coefficient of kinetic friction.

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

Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping calculator uses Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3 to calculate 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 calculate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping using this online calculator? To use this online calculator 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. Here is how the Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping calculation can be explained with given input values -> 22.17487 = (9.6*9.8*sin(0.785398163397301))/3.

FAQ

What is Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping?

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 and is represented as F_f = (M_c*g*sin(θ_i))/3 or Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3. 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, Acceleration Due to Gravity is acceleration gained by an object because of gravitational force & Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

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

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 is calculated using Force of Friction = (Mass of Cylinder*Acceleration Due to Gravity*sin(Angle of Inclination))/3. To calculate Frictional Force between Cylinder and Inclined Plane surface for Rolling without Slipping, you need Mass of Cylinder (M_c), Acceleration Due to Gravity (g) & Angle of Inclination (θ_i). With our tool, you need to enter the respective value for Mass of Cylinder, Acceleration Due to Gravity & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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