Physics

Inclined Plane Calculator

Find the acceleration of an object sliding down a ramp.

Calculated Output

Acceleration (m/s²) 4.055

Formula: a = g(sinθ − μ·cosθ)

Step-by-Step Breakdown

1. Values used:

2. Incline angle = 30 °

3. Friction coefficient μ = 0.1

4. Gravity = 9.81 m/s²

6. Acceleration = 4.055m/s²

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The math behind it

a = g(sinθ − μ·cosθ). If μ·cosθ ≥ sinθ the object won't slide (acceleration ≤ 0).

30° ramp, μ = 0.1 → a ≈ 4.06 m/s².

When does it stay put?

When tanθ ≤ μ (static friction holds it).