1. What Is Resultant Angle?

Definition: The resultant angle (θ_r) is the angle between the resultant force vector and the reference x-axis in a 2D coordinate system.

Purpose: It helps determine the direction of the net force when multiple forces act on an object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta_r \) — Resultant angle (degrees)
• \( F_y \) — Vertical force component (Newtons)
• \( F_x \) — Horizontal force component (Newtons)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of vertical to horizontal force components.

3. Importance of Resultant Angle Calculation

Details: Calculating the resultant angle is crucial in physics and engineering for understanding force directions, equilibrium conditions, and motion prediction.

4. Using the Calculator

Tips: Enter both force components in Newtons. The calculator handles all quadrants correctly using atan2 function.

5. Frequently Asked Questions (FAQ)

Q1: What if F_x is zero?
A: The calculator handles this case specially - the angle will be 90° (if F_y positive) or 270° (if F_y negative).

Q2: What's the range of resultant angle?
A: The angle ranges from -180° to +180° (or 0° to 360° depending on convention).

Q3: How does this differ from simple arctan?
A: The calculator uses atan2 function which considers the signs of both components to determine the correct quadrant.

Q4: Can I use other units besides Newtons?
A: Yes, any consistent force units will work as the calculation depends on the ratio.

Q5: How is this used in real applications?
A: Used in structural analysis, mechanical design, physics experiments, and anywhere force vectors are analyzed.