1. What is the Angle of Resultant Force?

Definition: This is the angle that the resultant force makes with respect to the first force (F₁) when two forces are acting at an angle to each other.

Purpose: It helps in physics and engineering to determine the direction of the net force when multiple forces act on an object at an angle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( θ \) — Angle of resultant force (degrees)
• \( F_1 \) — First force (Newtons)
• \( F_2 \) — Second force (Newtons)
• \( α \) — Angle between the two forces (degrees)

Explanation: The formula calculates the angle using trigonometric relationships between the forces and the angle between them.

3. Importance of Resultant Angle Calculation

Details: Knowing the resultant angle is crucial for determining the direction of motion of objects, designing structures, and analyzing force systems.

4. Using the Calculator

Tips: Enter both force values (F₁ and F₂) in Newtons and the angle between them in degrees. All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What happens when F₁ is zero?
A: When F₁ is zero, the resultant angle θ will equal the angle α between the forces.

Q2: What's the range of possible resultant angles?
A: The resultant angle θ will always be between 0° and the angle α between the forces.

Q3: How does the angle change with different force magnitudes?
A: As F₁ increases relative to F₂, θ decreases. As F₂ increases relative to F₁, θ approaches α.

Q4: What if both forces are equal?
A: When F₁ = F₂, θ = α/2 (the resultant bisects the angle between the forces).

Q5: Can this be used for more than two forces?
A: No, this formula is specifically for two forces. For multiple forces, you would need to use vector addition methods.