Normal Force Calculator


About Normal Force Calculator (Formula)

A Normal Force Calculator is a tool used to determine the normal force exerted on an object resting on a surface or in contact with another object. The normal force is the force exerted by a surface perpendicular to the object in contact, counteracting the force of gravity and preventing the object from falling through the surface. This concept is crucial in understanding the mechanics of objects at rest or in equilibrium.

The formula for calculating the normal force is:

Normal Force (N) = Weight (mg)


  • Normal Force (N) is the force exerted by the surface on the object perpendicular to the contact surface.
  • Weight (mg) is the force due to gravity acting on the object’s mass (m) with the acceleration due to gravity (g).

To use the Normal Force Calculator formula, follow these steps:

  1. Determine the mass of the object in kilograms (kg).
  2. Determine the acceleration due to gravity, which is approximately 9.81 m/s² on the surface of the Earth.
  3. Multiply the mass by the acceleration due to gravity to calculate the weight: Weight (mg) = mass (m) × acceleration due to gravity (g).
  4. The calculated weight is also the normal force (N) exerted by the surface on the object.

The normal force is a fundamental concept in physics and mechanics, especially when analyzing objects on inclined planes, calculating frictional forces, and understanding equilibrium. When an object is on a flat surface and not accelerating vertically, the normal force and gravitational force are equal in magnitude and opposite in direction, resulting in a net force of zero in the vertical direction.

In scenarios involving inclined surfaces or non-uniform forces, the normal force might change accordingly. For example, if an object is pushed into a surface, the normal force might become greater than the object’s weight.

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