Resultant Force Formula - Definition, Formula and Examples (2024)

The resultant force is described as the total amount of force acting on the object or body along with the direction of the body. The resultant force is zero when the object is at rest or it is traveling with the same velocity as the object. The resultant force should be equal for all the force since all the force is acting in the same direction.

Formula of Resultant Force

If one force is acting perpendicular to another, the resultant force is determined by using the Pythagorean theorem. The Resultant force formula is given by,

FR = F1 + F2 + F3

Where

F1, F2, F3 are the three forces acting in the same direction on an object.

Solved Example of Resultant Force

Example 1

Determine the FR when three forces such as80 N, 100 N, and 30 N are acting on an object simultaneously and 30 N force is opposite to the other two forces.

Solution:

Given:

F1 = 80 N

F2 = 100 N

F3 = -30 N

F3 is a negative value because it is acting opposite to the other two force

The formula for resultant force is

FR = F1+F2+F3

FR = 80 + 100 – 30

FR = 150 N

Resultant Force Formula - Definition, Formula and Examples (2024)

FAQs

Resultant Force Formula - Definition, Formula and Examples? ›

1) The resultant force is the sum of forces, taking into account the direction. We have 950 N - 730 N = 220 N to the right as the resultant force. 2) We have two forces to the right and one to the left. Adding the forces, we have 1050 N + 760 N - 500 N = 1310 N to the right as the resultant force.

What is the formula for resultant force with example? ›

For two forces, F1 and F2, that act on an object in the same direction, the resultant force equation is F r e s = F 1 + F 2 . For two forces, F3 and F4, that act on an object in opposite directions, the resultant force equation is F r e s = F 3 - F 4 .

What is the formula for resultant formula? ›

R = A + B. Formula 2 Vectors in the opposite direction are subtracted from each other to obtain the resultant vector. Here the vector B is opposite in direction to the vector A, and R is the resultant vector.

What is the answer to the force formula? ›

The International System of Units (SI) unit of force is the Newton (N) where 1 N = 1 k g m s 2 . The standard force formula states that the net external force on an object is equal to the product of its mass and acceleration. The force equation is F = m a where F is the force, m is mass and a is acceleration.

What is the formula for resultant moment of force? ›

If different forces act at different points then the total moment about any point P is the algebraic (i.e. including the signs) sum of each moment about P. R = F1 + F2 . However we also need the line of action of R so as to produce the correct total moment about any point.

What is an example of resultant force for kids? ›

In the diagram of a toy trailer below, when two children pull on the handle, one with a force of 3 newtons (N) to the left and one with a force of 4 newtons (N) to the right, the combined effect of the two forces is to pull the trailer to the right with a resultant force of 4 – 3 = 1 newton (N).

How do I calculate the resultant? ›

If all the forces are balanced, the resultant force is zero. that is smaller than either individual force. To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

What is the resultant force calculator? ›

The resultant force calculator will display the magnitude ( F = 5 N F = 5\ N F=5 N) and direction ( θ = 180 ° \theta = 180 \degree θ=180°) of the net force. It will also show the values of the horizontal and vertical components of the resultant force.

What is the formula for resultant force mass? ›

Newton's second law states that force equals mass times acceleration (F=ma). To calculate mass, rearrange the formula as mass equals force divided by acceleration (m=F/a). To calculate acceleration, rearrange the formula as acceleration equals force divided by mass (a=F/m).

How do you solve for force formula? ›

The force formula is defined by Newton's second law of motion: Force exerted by an object equals mass times acceleration of that object: F = m ⨉ a. To use this formula, you need to use SI units: Newtons for force, kilograms for mass, and meters per second squared for acceleration.

What is the main force formula? ›

It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²).

What is the definition of force and examples? ›

Force is simply defined as the push or pull movement. Different types of force are contact forces and non- forces. Some examples of force are Nuclear force, gravitational force, Frictional force, magnetic force, electrostatic force, spring force and so on.

What is resultant force and its formula? ›

What is the formula for the resultant force vector? The formula for the resultant force vector is given by Newton's Second law. This law states that the force is equal to mass times acceleration, or F=ma.

How to calculate normal force? ›

How do you calculate normal force? Normal force (Fn) can be calculated by the application of Newton's Second Law (F=m*a). On a flat surface, for example, Fn can be calculate by Fn=m*g. On a surface inclined with an angle X, Fn can be calculated by Fn=m*g*cosX.

What is the formula for tension? ›

Tension force remains a gravitational force. If the body is moving upwards then the tension will be referred to as the T = W + ma. When the body goes down, the thickness is the same as T = W - ma. T = W if the discomfort is equal to body weight.

What is the formula for the resultant electric force? ›

The formula is given by F = k | q 1 | | q 2 | r 2 , where F is the magnitude of the force between the charged particles, k is the Coulomb's constant, q 1 and q 2 are the charges on the two particles, and r is the distance between the two particles. The direction of the force is along the line joining the two particles.

What is the resultant force formula for three forces? ›

The following is the formula for the resultant force: If the forces acting on a body are F1,F2,F3,..., the resulting force RF is calculated as follows: FR=F1+F2+F3...

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