Tension Formula:
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Definition: This calculator determines the tension in a cable when a force is applied at an angle.
Purpose: It helps engineers and technicians design and analyze cable systems in construction, bridges, and mechanical applications.
The calculator uses the formula:
Where:
Explanation: The tension increases as the angle increases because more of the force must be supported horizontally.
Details: Proper tension calculation ensures cable systems can safely support loads without failure or excessive sagging.
Tips: Enter the applied force in newtons and the angle in degrees (0-90). The angle must be less than 90° for valid results.
Q1: Why does tension increase with angle?
A: At higher angles, more of the force must be supported horizontally, increasing the tension required to maintain equilibrium.
Q2: What happens at 90 degrees?
A: At exactly 90 degrees, the tension would theoretically be infinite, which is why the calculator limits angles to less than 90°.
Q3: Does this account for cable weight?
A: No, this calculates tension from an external load only. For cable self-weight, use catenary equations.
Q4: What units should I use?
A: The calculator uses newtons for force and degrees for angles. Convert other units before input.
Q5: How accurate is this calculation?
A: It provides theoretical tension for ideal conditions. Real-world factors like friction and stiffness may affect actual tension.