1. What is the Angle Between Resultant and Forces?

Definition: This calculator determines the angle at which two forces (P+Q) and (P-Q) act to produce a resultant force at right angles.

Purpose: It helps in understanding vector addition of forces and the geometry of force systems in physics and engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \theta \) — Angle between resultant and (P+Q) force (degrees)
• \( P \) — Magnitude of first force (N)
• \( Q \) — Magnitude of second force (N)

Explanation: The angle is calculated using the inverse tangent of the ratio between the difference and sum of the two forces.

3. Importance of Force Angle Calculation

Details: Understanding force angles is crucial for analyzing equilibrium conditions, designing structures, and solving mechanics problems.

4. Using the Calculator

Tips: Enter the magnitudes of forces P and Q in newtons (N). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a 90° resultant mean?
A: It means the resultant force is perpendicular to the (P+Q) force vector.

Q2: What happens when P = Q?
A: When P equals Q, the angle becomes 0°, meaning the resultant aligns with (P+Q).

Q3: Can the angle be negative?
A: No, the calculator returns the absolute angle between 0° and 90°.

Q4: How is this related to the Pythagorean theorem?
A: The forces form a right triangle where (P+Q)² + (P-Q)² = resultant².

Q5: What are practical applications?
A: Used in engineering for analyzing forces in trusses, cables, and mechanical systems.