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Enter the mass, friction coefficient, and angle of inclination, and the tool will calculate the frictional force.
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The frictional force calculator determines the magnitude of friction acting on an object based on its mass, coefficient of friction, and angle of inclination. Since each surface has a unique coefficient of friction, the frictional force varies depending on the materials in contact.
Friction is a force that resists the motion (sliding or rolling) of one object over another. It depends on the characteristics of the surfaces in contact and the normal force acting between them. The angle of inclination also affects friction because it changes the normal force.
Factors affecting friction include:
Consider an object of mass 13 kg placed on a 30° inclined plane. If the coefficient of friction is μ = 0.2, calculate the frictional force.
Friction formula (on an inclined plane):
\( F_{friction} = \mu \times m \times g \times \cos(\theta) \)
Given:
Solution:
\( F_{friction} = 0.2 \times 13 \times 9.81 \times 0.866 \)
\( F_{friction} \approx 22.09 \, N \)
The coefficient of friction (μ) is the ratio of frictional force to normal force:
\( \mu = \frac{F}{N} \)
Example:
\( \mu = \frac{13}{13} = 1 \)
Thus, the coefficient of friction is 1.
If the friction coefficient is 0.2 and the frictional force is 13 N:
\( N = \frac{F}{\mu} \)
\( N = \frac{13}{0.2} = 65 \, N \)
The normal force acts perpendicular to the contact surface.
If a normal force of 13 N acts on an object and μ = 0.2:
\( F = N \times \mu \)
\( F = 13 \times 0.2 = 2.6 \, N \)
Therefore, the frictional force is 2.6 N.
The calculator is simple to use:
Input:
Output:
The SI unit of friction is the Newton (N), equivalent to 1 kg·m·s⁻².
The coefficient of friction is dimensionless because it is a ratio of two forces (frictional force and normal force). Since both are measured in Newtons, the units cancel out.
Static friction acts when objects are at rest relative to each other. Dynamic (kinetic) friction acts when surfaces slide against each other.
From Wikipedia: Friction
From BBC Bitesize: Frictional Force
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