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

Calculate Coefficient of Friction



Formula

The formula to calculate the Coefficient of Friction (\(\mu\)) is:

\[ \mu = \frac{\tan(\theta_i)}{3} \]

Where:

Definition

The Coefficient of Friction (\(\mu\)) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

The 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

Let's assume the following value:

Using the formula:

\[ \mu = \frac{\tan(0.785398163397301)}{3} \]

Evaluating:

\[ \mu = 0.333333333333235 \]

The Coefficient of Friction is 0.333333333333.

Coefficient of Friction Conversion Chart

Angle of Inclination (radians) Coefficient of Friction
0.1 0.033444890695
0.2 0.067570011836
0.3 0.103112083203
0.4 0.140931072913
0.5 0.182100829948
0.6 0.228045602781
0.7 0.280762793488
0.8 0.343212852350
0.9 0.420052739183
1 0.519135908218