Tension Formulas:
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Definition: This calculator determines the tension in two cables supporting a load based on the force applied and the distances from the load to each cable.
Purpose: It helps engineers and physics students analyze and design cable support systems by calculating the tension distribution.
The calculator uses the formulas:
Where:
Explanation: The tension in each cable is inversely proportional to its distance from the applied force, maintaining rotational equilibrium.
Details: Proper tension calculation ensures cable systems can safely support loads without failure and helps in selecting appropriate cable materials and diameters.
Tips: Enter the force in newtons and both distances in meters. All values must be positive numbers.
Q1: What happens if d1 equals d2?
A: The tension will be equal in both cables (T1 = T2 = F/2).
Q2: Does this calculator account for cable weight?
A: No, it assumes massless cables. For heavy cables, more complex calculations are needed.
Q3: What if the cables are at angles?
A: This calculator assumes vertical cables. For angled cables, trigonometric components must be considered.
Q4: What's the maximum force these formulas can handle?
A: The formulas are valid as long as the cables can support the calculated tensions without breaking.
Q5: How do I convert other units to newtons and meters?
A: 1 kg·f = 9.81 N, 1 lb = 4.448 N, 1 ft = 0.3048 m, 1 in = 0.0254 m.