Resultant Force Formula:
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Definition: This calculator determines the magnitude of the resultant force when two forces (80 N and 100 N) act at a specified angle between them.
Purpose: It helps physics students and engineers calculate the net effect of two vector forces acting at an angle.
The calculator uses the formula:
Where:
Explanation: The formula comes from the Law of Cosines for vector addition, accounting for both the magnitudes of the forces and the angle between them.
Details: Calculating resultant forces is fundamental in physics and engineering for understanding how multiple forces combine to affect an object's motion.
Tips: Enter the angle between the two forces (0° to 180°). The calculator will compute the magnitude of the resultant force.
Q1: What happens at 0° angle?
A: At 0° (forces in same direction), the resultant is simply the sum (180 N).
Q2: What happens at 180° angle?
A: At 180° (forces in opposite directions), the resultant is the difference (20 N).
Q3: What's the maximum resultant force possible?
A: The maximum occurs at 0° (180 N), while the minimum occurs at 180° (20 N).
Q4: What angle produces a resultant equal to 100 N?
A: Approximately 75.5° would give a resultant force of 100 N.
Q5: Can I change the force magnitudes?
A: This calculator is specifically for 80 N and 100 N forces. For different magnitudes, you would need a different calculator.