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

✖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_cyl]			+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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Formula

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

Formula

`"F"_{"f"} = ("M"_{"cyl"}*"g"*sin("θ"_{"i"}))/3`

Example

`"22.17487N"=("9.6kg"*"9.8m/s²"*sin("45°"))/3`

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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_cyl*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_cyl*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 00.004 seconds)

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< 2 Friction Calculators

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

Go Force of Friction = (Mass of Cylinder*Acceleration due to Gravity*sin(Angle of Inclination))/3

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

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

< 21 Angle Friction Calculators

Effort Applied to Move Body Downward on Inclined Plane Considering Friction

Go Effort to Move Downwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction))

Effort Applied to Move Body Upward on Inclined Plane Considering Friction

Go Effort to Move Upwards Considering Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction))/sin(Angle of Effort-(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction))

Efficiency of Inclined Plane when Effort Applied to Move Body Downward

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

Efficiency of Inclined Plane when Effort Applied to Move Body Upward

Go Efficiency of Inclined Plane = (cot(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)-cot(Angle of Effort))/(cot(Angle of Inclination of Plane to Horizontal)-cot(Angle of Effort))

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

Go Efficiency of Inclined Plane = sin(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/(sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))

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

Go Efficiency of Inclined Plane = (sin(Angle of Inclination of Plane to Horizontal)*cos(Limiting Angle of Friction))/sin(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

Effort Applied Parallel to Inclined Plane to Move Body Downward Considering Friction

Go Effort to Move Downwards Considering Friction = Weight of Body*(sin(Angle of Inclination of Plane to Horizontal)-Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))

Effort Applied Parallel to Inclined Plane to Move Body Upward Considering Friction

Go Effort to Move Upwards Considering Friction = Weight of Body*(sin(Angle of Inclination of Plane to Horizontal)+Coefficient of Friction*cos(Angle of Inclination of Plane to Horizontal))

Effort Required to Move Body down Plane Neglecting Friction

Go Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)

Effort Required to Move Body up Plane Neglecting Friction

Go Effort Required to Move Neglecting Friction = (Weight of Body*sin(Angle of Inclination of Plane to Horizontal))/sin(Angle of Effort-Angle of Inclination of Plane to Horizontal)

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

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

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

Effort Applied Perpendicular to Inclined Plane to Move Body Downward Considering Friction

Go Effort to Move Downwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)

Effort Applied Perpendicular to Inclined Plane to Move Body Upward Considering Friction

Go Effort to Move Upwards Considering Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

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

Go Force of Friction = (Mass of Cylinder*Acceleration due to Gravity*sin(Angle of Inclination))/3

Effort Applied Perpendicular to Inclined Plane to Move Body along Inclination Neglecting Friction

Go Effort Required to Move Neglecting Friction = Weight of Body*tan(Angle of Inclination of Plane to Horizontal)

Effort Applied Parallel to Inclined Plane to Move Body Upward or Downward Neglecting Friction

Go Effort Required to Move Neglecting Friction = Weight of Body*sin(Angle of Inclination of Plane to Horizontal)

Limiting Angle of Friction

Go Limiting Angle of Friction = atan(Limit Force/Normal Reaction)

Angle of Repose

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

Minimum Force Required to Slide Body on Rough Horizontal Plane

Go Minimum Effort = Weight of Body*sin(Angle of Effort)

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

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

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

Force of Friction = (Mass of Cylinder*Acceleration due to Gravity*sin(Angle of Inclination))/3
F_f = (M_cyl*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 is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. 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_cyl), 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 -> 2.842238 = (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 is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other and is represented as F_f = (M_cyl*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 is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other 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_cyl), 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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