Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

The Normal Force Calculator calculates how much force a surface exerts to keep an object from falling. Simply enter the mass and degree of inclination into the input boxes and press the calculate button to get the result.

Choose a Calculation
Mass (M)
Angle (α)
Gravitational acceleration(g)

What is Normal Force?

The normal force exerted by a surface on an item is perpendicular. For example, If we put an object on a table, the gravitational force will draw it downwards. The table will apply a certain amount of effort to keep the thing from falling. Normal Force, abbreviated by FN or N. The Newton is a unit of force.

How to Work Out Normal Forces on Inclined and Flat Surfaces?

The Principle of Newton's Third Law of Motion is usually applied to the normal force. A force of contact is called the normal force. It is simply a force that is exerted when two objects come into contact. When two items collide, they exert a normal force on each other, which causes the surface to compress vertically.

Normal Force: FN = mg

  • Where, m = mass of an object
  • g = gravitational force

The Normal Force Equation is FN = mg cos(╬▒) when an object is held on an inclined surface Where ╬▒ = surface inclination angle.

Normal Force on Inclined Surfaces

How to use the Normal Force Calculator?

The process for using the normal force calculator is as follows

  • Step 1: Fill in the appropriate input fields with the unknown mass, gravitational acceleration, angle, and x values.
  • Step 2: To obtain the result, select "Calculate the Unknown" from the drop-down menu.
  • Step 3: Finally, the normal force will be displayed in the output field.

For more concepts check out to get quick answers by using this free tool.

Normal Force Examples

Question 1: If the mass of an object exceeds 5 kg, it is placed on a table. The inclination is 45 degrees. Calculate the normal force on the body.


Given: Mass m = 5 Kg

Angle ╬╕ = 45┬░

FN = mg cos(╬▒)

We derive the following equation by substituting the inputs in the formula to compute the normal force:

FN= 5x9.8xcos(45┬░)

FN = 34.64 N

Question 2: A Body is placed on a table if the mass of an object is 7 kg. The Angle of inclination is 30┬░. Find out the normal force applied to the body?


Given: Mass m = 7 Kg

Angle ╬╕ = 30┬░

FN = mg cos(╬▒)

We derive the following equation by substituting the inputs in the formula to compute the normal force:

FN= 7x9.8xcos(30┬░)

FN = 59.40 N

FAQs on Normal Force Calculator

1. How is normal force less than weight?

If there is some force with a component that acts as opposed to the weight force, normal force may be smaller than weight. When pushing along a horizontal surface or when the surface is on a slope to the horizontal, an example would be if the pulling force is at an angle to the horizontal.

2. What is the net force operating on the object when it is at rest?

The net force exerted on the object is zero when it is at rest.

3. Is weight always equal to Normal Force?

If the normal force is the only force opposing the weight, it is almost always equal to the weight. If there are any external forces, Newton's Second Law must be applied to them as well.

4. Is it possible to measure the normal force with a scale?

The force acting on the scale's plate is the force exerted by the object on it. It's Newton's Third Law combined with the object's normal force. Because the force on the object and the normal force must be equal in magnitude, the scale measures the normal force, according to Newton III.