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Resultant Force Formula:
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The resultant force is the single force that represents the vector sum of all forces acting on an object. It determines the net effect of multiple forces and the direction in which an object will accelerate according to Newton's second law of motion.
The calculator uses the resultant force formula:
Where:
Explanation: This formula calculates the magnitude of the resultant force using the Pythagorean theorem, which is applicable when forces are perpendicular to each other.
Details: Calculating resultant force is essential in physics and engineering to determine the net effect of multiple forces acting on an object, predict motion, analyze structures, and solve problems in statics and dynamics.
Tips: Enter the x and y components of the force in newtons. The calculator will compute the magnitude of the resultant force. Both values can be positive or negative to indicate direction.
Q1: What if forces are not perpendicular?
A: For non-perpendicular forces, you need to resolve them into perpendicular components first using trigonometry, then apply the resultant force formula.
Q2: How do I find the direction of the resultant force?
A: The direction can be found using the formula: θ = arctan(Fy/Fx), where θ is the angle relative to the x-axis.
Q3: Can this formula be used for three-dimensional forces?
A: For 3D forces, the formula extends to: R = √(Fx² + Fy² + Fz²), where Fz is the force component in the z-direction.
Q4: What are typical units for force?
A: The SI unit for force is the newton (N), but other units like pounds-force (lbf) may be used with appropriate conversions.
Q5: How is resultant force related to acceleration?
A: According to Newton's second law (F = m×a), the resultant force equals mass times acceleration in the direction of the resultant force.