1. What is the Angle of Friction?

Definition: The angle of friction (θ) is the angle whose tangent is equal to the coefficient of friction (μ) between two surfaces.

Purpose: It represents the maximum angle at which an object can rest on an inclined plane without sliding down.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle of friction (degrees)
• \( \mu \) — Coefficient of friction (dimensionless)

Explanation: The arctangent function converts the friction coefficient into an angle in degrees.

3. Importance of Angle of Friction

Details: This calculation is crucial in engineering, physics, and construction for determining stability, designing ramps, and analyzing forces.

4. Using the Calculator

Tips: Simply enter the coefficient of friction (must be > 0). Common values range from 0.1 (slippery) to 1.0 (high friction).

5. Frequently Asked Questions (FAQ)

Q1: What's a typical coefficient of friction?
A: Rubber on concrete: ~0.6-1.0, Steel on steel: ~0.5-0.8, Teflon on steel: ~0.04.

Q2: How is this different from angle of repose?
A: Angle of repose applies to granular materials, while angle of friction applies to solid surfaces.

Q3: Can the angle exceed 45 degrees?
A: Yes, when μ > 1. Some rough surfaces have coefficients well above 1.

Q4: Why use arctangent specifically?
A: Because friction force is proportional to normal force, making the ratio (μ) equal to the tangent of the angle.

Q5: How does this relate to inclined planes?
A: The calculated angle is the steepest slope where an object won't slide down due to gravity.