How Can I Measure Thrust Using Suspended Wires?

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To measure thrust from a suspended engine without traditional scales, a method involving four vertical wires is proposed. When the engine is activated, it will cause the wires to rotate, and the angle of rotation can be measured to calculate thrust. The original equation suggested for calculating thrust is deemed incorrect; instead, the correct formula is F = mg tan(theta), where m is the engine's mass and theta is the angle of rotation. The discussion emphasizes the importance of ensuring dimensional correctness in the equations used. This method offers a creative approach to thrust measurement, though accuracy depends on proper calculations.
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I have a thrust producing engine and I would like to measure the thrust from it as accurately as possible without needing the use of scales, rollers, load cells, etc.

Anyway a friend of mine suggested I suspend the engine from four wires so that the wires are vertical when the engine is switched off. The idea would be that when the engine is started, it would push forward and cause the supporting wires to rotate through an angle which would be dependent on the thrust produced.

Would it be right to assume that if I measure the angle the wires are rotated through i could then calculate the thrust through the equation F=mg(L-LCos(theta)) where m would be the mass of the engine and L would be the length of the supporting wires? It seems pretty straightforward but I am not sure if I am missing something. Seeing as the engine is producing horizontal thrust and I am using the height difference to calculate thrust do I need to allow for this?
 
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I think your concept is good, but according to my analysis your equation is wrong. I calculate that the result is F = m g tan(theta). Your equation is not even dimensionally correct, since mg is a force, so mgL is an energy.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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