Normal Force on an Incline Calculator
Normal Force on an Incline Calculator
On an inclined plane, an object's weight splits into two components: the normal force pressing perpendicular into the surface, and the parallel (sliding) force pulling it down the slope. Enter the mass and the incline angle, and this calculator computes all three forces, illustrated with a vector diagram.
- Normal force N = W × cos(θ), and the sliding component F∥ = W × sin(θ), where W = mg is the weight and θ is the incline angle.
- At 0° (flat ground), all the weight becomes normal force and there's no sliding component; at 90° (a vertical wall), it's the opposite.
- This decomposition is the starting point for incline friction problems - combine with the Friction Force Calculator (using this normal force) to find whether an object will actually slide.
How do I find the normal force on an incline?
Multiply the object's weight by the cosine of the incline angle: N = mg × cos(θ).
What is the normal force for a 10 kg object on a 30° incline?
N = 10 × 9.81 × cos(30°) ≈ 84.96 N.
Normal Force on an Incline Calculator
On an inclined plane, an object's weight splits into two components: the normal force pressing perpendicular into the surface, and the parallel (sliding) force pulling it down the slope. Enter the mass and the incline angle, and this calculator computes all three forces, illustrated with a vector diagram.
- Normal force N = W × cos(θ), and the sliding component F∥ = W × sin(θ), where W = mg is the weight and θ is the incline angle.
- At 0° (flat ground), all the weight becomes normal force and there's no sliding component; at 90° (a vertical wall), it's the opposite.
- This decomposition is the starting point for incline friction problems - combine with the Friction Force Calculator (using this normal force) to find whether an object will actually slide.
How do I find the normal force on an incline?
Multiply the object's weight by the cosine of the incline angle: N = mg × cos(θ).
What is the normal force for a 10 kg object on a 30° incline?
N = 10 × 9.81 × cos(30°) ≈ 84.96 N.