Tension Formula:
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Tension force calculated from moment (torque) represents the force required to produce a given rotational effect at a specific distance from the pivot point. This relationship is fundamental in mechanics and engineering applications.
The calculator uses the tension formula:
Where:
Explanation: The formula demonstrates the inverse relationship between tension and radius - for a given moment, tension decreases as the radius increases.
Details: Accurate tension calculation is crucial for designing mechanical systems, determining cable loads, analyzing structural integrity, and ensuring safety in various engineering applications.
Tips: Enter moment in Newton-meters and radius in meters. Both values must be positive numbers greater than zero for valid calculation.
Q1: What units should I use for input values?
A: Moment should be in Newton-meters (Nm) and radius in meters (m) for tension result in Newtons (N).
Q2: Can this formula be used for any rotational system?
A: Yes, this fundamental relationship applies to any system where tension produces rotational motion around a pivot point.
Q3: What if the radius is very small?
A: A very small radius results in high tension values for the same moment, which may exceed material strength limits.
Q4: Does this consider friction or other losses?
A: No, this is the theoretical calculation. Real-world applications should account for friction, efficiency losses, and safety factors.
Q5: Can I use different units?
A: Yes, but ensure unit consistency. For example, using foot-pounds for moment and feet for radius will give tension in pounds.