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Inclined Plane Acceleration Calculator

Find the acceleration of a block sliding down a ramp with friction.

Inputs

Results

Acceleration3.204763m/s²
Net force along ramp32.04763N
Normal force84.92808N

Chart

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How to use the inclined plane acceleration calculator

Find the acceleration of a block sliding down a ramp with friction. Enter mass, ramp angle, friction coefficient in the fields above; the acceleration, net force along ramp, normal force are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Acceleration (m/s²) = GRAV × (sin(ang)-mu × cos(ang))
Net force along ramp (N) = m × [Acceleration]
Normal force (N) = m × GRAV × cos(ang)

Variables

  • m — Mass (kg)
  • ang — Ramp angle (°)
  • mu — Friction coefficient

Worked example

With mass = 10 kg, ramp angle = 30 °, friction coefficient = 0.2, the calculator gives acceleration ≈ 3.204763 m/s²; net force along ramp ≈ 32.04763 N; normal force ≈ 84.92808 N.

Frequently asked questions

What is the formula for the inclined plane acceleration calculation?

Acceleration (m/s²) = GRAV × (sin(ang)-mu × cos(ang)). Net force along ramp (N) = m × [Acceleration]. Normal force (N) = m × GRAV × cos(ang). Here m is mass (kg), ang is ramp angle (°), mu is friction coefficient.

What inputs do I need for the inclined plane acceleration calculator?

You need mass in kg, ramp angle in °, friction coefficient. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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