Net Force Calculator

Net force, also known as resultant force, is the overall force acting on an object when all individual forces are combined. It takes into account both the magnitude and direction of each force using vector addition.

When multiple forces act on an object, their combined effect can be represented by a single force that would produce the same result. This is the net force.

• Forces are vectors with both magnitude and direction
• Net force is calculated using vector addition
• The direction of the net force determines the direction of acceleration
• If the net force is zero, the object is in equilibrium (not accelerating)

1. Enter the magnitude of each force in Newtons (N)
2. Enter the angle of each force in degrees (0° to 360°)
3. Add more forces using the "Add Another Force" button if needed
4. Click "Calculate Net Force" to see the results

The calculator will show:

• The magnitude of the net force in Newtons
• The direction of the net force in degrees from the positive x-axis

Note: Angle conventions:

• 0° points to the right (positive x-axis)
• 90° points up (positive y-axis)
• 180° points to the left (negative x-axis)
• 270° points down (negative y-axis)

The net force is calculated using vector addition. For multiple forces, we:

1. Break each force into x and y components:
   • F_x = F × cos(θ)
   • F_y = F × sin(θ)
2. Sum all x-components and y-components separately:
   • F_net_x = ΣF_x
   • F_net_y = ΣF_y
3. Calculate the magnitude of the net force:
   • |F_net| = √(F_net_x² + F_net_y²)
4. Calculate the direction of the net force:
   • θ = tan⁻¹(F_net_y/F_net_x)

Net force calculations are essential in many fields:

• Engineering: Analyzing forces in structures and machines
• Physics: Understanding motion and equilibrium
• Construction: Calculating load distribution and support forces
• Sports Science: Analyzing forces in athletic movements
• Aerospace: Calculating thrust and lift forces on aircraft