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# Resultant Force Calculator

Provide the forces and angles of at least 2 forces to this resultant calculator and calculate the resultant force instantly.

# 1

Force

Unit

Angle

Unit

# 2

Force

Unit

Angle

Unit

Table of Content

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Calculate the resultant force acting on an object or body through this resultant force calculator with angle. This online tool can quickly figure out the overall value for many forces that act on a body simultaneously.

## Understanding The Resultant Force:

It is the sum of all the forces that are acting on a body and is also known as the net force.

As we know the force is a vector quantity, and the resultant force has magnitude and direction. This is the force that produces acceleration.

### Resultant Force Formula:

Use the following resultant force equation to calculate the resultant force acting on an object or body:

$$\vec {R}f = \vec {F}_1 + \vec {F}_2 + ….$$

Components of Force:

$$\vec R_{fy1} = \vec {F}_1\cos\theta_1$$

$$\vec R_{fx1} = \vec {F}_1\cos\theta_1$$

Similarly for the Force F2:

$$\vec R_{fx2} = \vec {F}_2\cos\theta_2$$

$$\vec R_{fx2} = \vec {F}_2\cos\theta_2$$

Formula For Magnitude:

$$\begin{array}{l}\vec{R} = \sqrt{\vec{fx^{2}}+\vec{fy^{2}}}\end{array}$$

$$\theta = \tan^{-1} \left({\frac{R_{fy}}{R_{fx}}}\right)$$

Where

• RF indicates the magnitude
• Fx represents the sum of the x-component forces
• Fy shows the sum of the y-component forces
• \theta represents the resultant angle

## How To Calculate Resultant Force?

Follow the below-mentioned steps to calculate the resultant force:

• First of all, find out the x and y components of the force
• Now add Fx and Fy
• Determine the angle by putting the values in the formula of the angle
• Put the values in the above-mentioned formula of magnitude as we have done in the following example

To save time, you can access a free body diagram calculator. It will let you calculate the force accurately in no time.Â

### Example:

Let’s suppose there is a car that is being pushed by 15 newtons in the forward direction with 0 degree angle and by 10 newtons from a 90 degrees angle.

#### Solution:

Given that:

$$\vec {F}_1 = 15NÂ$$

$$\vec {F}_2 = 10N$$

Angle of $$\vec {F}_1$$ = 0 degree

Angle of $$\vec {F}_2$$ Â = 90 degree

Now x and y components of the resultant force

$$\vec fx_1$$ = 15 cos(0) = 15

$$\vec fy_1$$ = 15 sin (0) = 0

$$\vec fy_2$$ = 10cos(90) = 0

$$\vec fy_2$$ = 10 sin(90) = 10

$$Î£fx$$ = 15 + 0 = 15

$$Î£fy$$ = 10 + 0 = 10Â

Find the angle:

$$\theta = \tan^{-1} \left({\frac{R_{fy}}{R_{fx}}}\right)$$

$$\theta = \tan^{-1} \left({\frac{10}{15}}\right)$$

$$\theta = \tan^{-1}(0.67)$$

$$\theta$$ = 33.69 degree

Now put these values in the formula of magnitude:

$$\begin{array}{l}\vec{R} = \sqrt{\vec{fx^{2}}+\vec{fy^{2}}}\end{array}$$

$$\begin{array}{l}\vec{R} =Â \sqrt{{(15)^{2}}+{(10)^{2}}}\end{array}$$

$$\vec{RF}$$ = 18.03 N

If it seems difficult to find the resultant forces then get the assistance of a direction angle calculator. With it, you will be able to calculate the resultant force and its direction effortlessly.Â Â Â

## How Does Our Resultant Force Calculator Work?

Provide a couple of inputs to this simple vector force calculator and determine the resultant force within seconds. Let’s see how it works:

• ForcesÂ
• AnglesÂ

### This Is What You Will Get!

• Horizontal Component (Fx)
• Vertical Component (Fy)
• Magnitude of Resultant Force (F)
• Direction of Resultant Force (Î¸)

This force vector calculator is solely designed to make the calculation of resultant forces easy. With it, you can perform a high-speed calculation free of cost.Â

Access this online tool from your browser and perform seamless calculations. You can call it Newtons calculator.Â

## FAQâ€™s:

### When The Net Force On An Object Is Zero?

As Newton’s first law states, the net force is zero if an object is either at rest or moving in a straight line with a constant velocity. Utilize a magnitude of resultant force calculator physics to determine the net force accurately.Â

### Why Do We Calculate Resultant Force?

The reason for calculating resultant force is that it allows us to think of all the forces acting on an object as one single force. It means to know the effect that the forces had on the object.Â

### What Is The Resultant Force Between Two Vectors?

According to the parallelogram law of vector addition, the resultant vector R = ( A2+B2+2AB\theta). A and B are the representatives of the vectors.

## References:

From the source of phyley.com: What is the resultant force and how to find it?

From the source of x-engineer.org: Resultant force introduction,Â Definition.