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Two Forces Act At An Angle Of 120 Degree

Resultant Force Formula:

\[ F_r = \sqrt{F1^2 + F2^2 + 2 F1 F2 \cos(120°)} \]

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1. What is the Resultant Force Calculator for 120° Angle?

Definition: This calculator determines the magnitude of the resultant force when two forces act at a 120-degree angle to each other.

Purpose: It helps in physics and engineering problems where forces are not acting in the same or opposite directions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_r = \sqrt{F1^2 + F2^2 + 2 F1 F2 \cos(120°)} \]

Where:

Explanation: The formula comes from the law of cosines applied to vector addition of forces.

3. Importance of Resultant Force Calculation

Details: Calculating resultant forces is crucial for understanding net effects in structural analysis, mechanical systems, and motion problems.

4. Using the Calculator

Tips: Enter both force values in Newtons. The angle is fixed at 120° for this specific calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the angle fixed at 120°?
A: This calculator is specifically designed for the common 120° angle scenario. Other angles would require different calculations.

Q2: What's the significance of 120° in force calculations?
A: 120° is common in many physical systems, especially those with threefold symmetry (like three-phase power systems or molecular structures).

Q3: Can I use this for forces in different units?
A: No, the calculator expects both inputs in Newtons. Convert other units to Newtons first.

Q4: What if my forces are at a different angle?
A: You would need to use the general formula: \( F_r = \sqrt{F1^2 + F2^2 + 2 F1 F2 \cos(\theta)} \) where θ is your specific angle.

Q5: Does this account for force direction?
A: This calculates magnitude only. Direction would require additional vector analysis.

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