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

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction = (tan(Angle of Inclination))/3
μ = (tan(θi))/3
This formula uses 1 Functions, 2 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.
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
Angle of Inclination: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (tan(θi))/3 --> (tan(0.785398163397301))/3
Evaluating ... ...
μ = 0.333333333333235
STEP 3: Convert Result to Output's Unit
0.333333333333235 --> No Conversion Required
FINAL ANSWER
0.333333333333235 0.333333 <-- Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

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

Coefficient of Friction = (tan(Angle of Inclination))/3
μ = (tan(θi))/3

How do you calculate the coefficient of friction?

The coefficient of friction (fr) is a number that is the ratio of the resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together. It is represented by the equation: fr = Fr/N.

What is the largest coefficient of friction?

They being said, aluminum on aluminum when both surfaces are clean, smooth, and dry has a coefficient of static friction of between 1.05 and 1.35. That's higher than unity and extremely rare. It's about as high as it gets.

How to Calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping calculator uses Coefficient of Friction = (tan(Angle of Inclination))/3 to calculate the Coefficient of Friction, The Coefficient of Friction between cylinder and surface of inclined plane for rolling without slipping is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping using this online calculator? To use this online calculator for Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping, enter Angle of Inclination i) and hit the calculate button. Here is how the Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping calculation can be explained with given input values -> 0.030336 = (tan(0.785398163397301))/3.

FAQ

What is Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?
The Coefficient of Friction between cylinder and surface of inclined plane for rolling without slipping is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1 and is represented as μ = (tan(θi))/3 or Coefficient of Friction = (tan(Angle of Inclination))/3. Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.
How to calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping?
The Coefficient of Friction between cylinder and surface of inclined plane for rolling without slipping is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1 is calculated using Coefficient of Friction = (tan(Angle of Inclination))/3. To calculate Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping, you need Angle of Inclination i). With our tool, you need to enter the respective value for 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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