1. What is the Resultant Force Angle?

The resultant force angle (θ) represents the direction of the net force vector when two perpendicular force components (Fx and Fy) are applied. It's calculated using the arctangent of the ratio between the vertical and horizontal force components.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( F_y \) — Vertical force component (N)
• \( F_x \) — Horizontal force component (N)
• \( \theta \) — Resultant force angle (degrees)

Explanation: The formula calculates the angle at which the resultant force acts relative to the horizontal axis, using the inverse tangent function of the force ratio.

3. Importance of Force Angle Calculation

Details: Calculating the resultant force angle is essential in physics and engineering for determining the direction of net forces, analyzing vector components, and solving problems in statics and dynamics.

4. Using the Calculator

Tips: Enter both force components in newtons (N). The horizontal component (Fx) cannot be zero as division by zero is undefined. Results are given in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What if Fx is zero?
A: When Fx = 0, the angle is 90° if Fy > 0, or 270° if Fy < 0. Our calculator requires Fx ≠ 0 to avoid division by zero.

Q2: How is the angle measured?
A: The angle is measured from the positive x-axis (horizontal) counterclockwise to the resultant force vector.

Q3: What range of angles does this formula produce?
A: The standard arctangent function returns values between -90° and +90°. For complete 360° range, quadrant adjustment is needed.

Q4: Can this be used for 3D forces?
A: No, this formula is specifically for 2D force systems. 3D forces require additional calculations involving all three components.

Q5: What units should be used?
A: Both force components should be in the same units (typically newtons). The angle result is in degrees.