Calculadora de Força Normal

The normal force calculator determines the intensity of the force that a surface exerts on a supported object, perpendicular to the surface. For an inclined plane, the formula is N = m·g·cos(θ), where m is mass, g is gravitational acceleration, and θ is the inclination angle. On horizontal surfaces (θ = 0°), the normal force equals the weight (m·g). The tool is useful for physics students, engineers, and professionals analyzing forces on ramps, slides, or inclined structures.

The calculation assumes the object is at rest or moving without vertical acceleration. The normal force is always perpendicular to the surface, unlike weight which is vertical downward. On inclined planes, the component of weight perpendicular to the plane is balanced by the normal. The calculator accepts SI units (kg, m/s², degrees) and outputs results in newtons. It is important to use the correct angle and remember that cos(θ) decreases with increasing inclination, reducing the normal force.

Use cases include: sizing the strength of a ramp to support a vehicle, calculating friction force (which depends on normal force), checking if an object will slide, and analyzing safety in amusement park rides. It is also used in civil engineering projects, such as slope stability analysis. The calculator avoids manual errors and speeds up dynamics problem-solving.

Precautions: ensure the angle is in degrees (the calculator assumes degrees, not radians). The formula assumes no other vertical forces act, such as a hand pushing the object downward. On non-planar surfaces or with vertical acceleration, the normal force may differ. Remember that the normal force is not always equal to weight; in a roller coaster loop, for example, the normal force can be larger or smaller depending on speed.