Units square root of a Newton

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SUMMARY

The discussion centers on the appropriate units for the square root of tension (T), specifically whether to express it as kg1/2m1/2s-1 or simply as N1/2. Participants agree that while non-integer powers may seem unconventional, they can be valid in certain contexts, such as Allan deviations in signal processing. It is suggested that if a column for T labeled with "N" exists, labeling √T as "T in N" is sufficient. Ultimately, including units is recommended to avoid ambiguity.

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elegysix
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I have a table with several quantities in it, and one of them is \sqrt{T} (T is tension)
I have values for this table, and want to put the units next to the values.
Something seems off to me about doing this, I guess because they're not integers.
Is it correct to say the units are kg1/2m1/2s-1 ?thanks
 
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I would just call it N1/2. If you have another column for ##T## labeled with "N", you don't really need to label ##\sqrt T## at all IMO.
 
elegysix said:
I have a table with several quantities in it, and one of them is \sqrt{T} (T is tension)
I have values for this table, and want to put the units next to the values.
Something seems off to me about doing this, I guess because they're not integers.
Is it correct to say the units are kg1/2m1/2s-1 ?
That's a bit clumsy. If you don't have another column already with T, I'd label the √T with "T in N", that's about as informative as you could wish.
 
Unfortunately I am not the boss and don't get to decide the columns... I was just considering leaving the units off because non-integer powers seem wrong for whatever reason
 
elegysix said:
Unfortunately I am not the boss and don't get to decide the columns... I was just considering leaving the units off because non-integer powers seem wrong for whatever reason
Ah! Marking ...! Probably safer to put some units, there may be a mark allocated.

Nothing to lose by putting in some units.
 
elegysix said:
I was just considering leaving the units off because non-integer powers seem wrong for whatever reason
While they definitely seem wrong at first blush, they occasionally do appear and they can indeed be valid. For example, the Allan deviations that are widely used in signal processing inevitable have a dimensionality that involves the square root of time.

Newton units are not a standard unit of measurement. Newton (symbol: N) is the unit of force in the International System of Units (SI). It's named after Sir Isaac Newton and is defined as the force required to accelerate a one-kilogram mass by one meter per second squared. In other words, it measures the force needed to cause a 1 kg object to accelerate at a rate of 1 m/s².

Newton units are commonly used in physics and engineering to quantify forces, such as the force of gravity, tension in a rope, or the force applied by a machine.
 
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