Units square root of a Newton

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Discussion Overview

The discussion revolves around the appropriate units for the square root of tension (T), specifically addressing the representation of units when dealing with non-integer powers. Participants explore the implications of using such units in a table format.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants propose that the units for \sqrt{T} can be expressed as kg1/2m1/2s-1.
  • Others argue that it may be simpler to label \sqrt{T} as N1/2 if there is a corresponding column for T labeled in Newtons.
  • One participant expresses concern about using non-integer powers for units, suggesting that it feels incorrect.
  • Another participant mentions that while non-integer powers may seem wrong initially, they can be valid in certain contexts, citing examples like Allan deviations in signal processing.
  • There is a discussion about the necessity of including units in the table, with some suggesting it might be safer to include them despite the awkwardness of non-integer units.
  • One participant provides a definition of the Newton as a unit of force, explaining its relevance in physics and engineering.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best way to represent the units for \sqrt{T}. There are competing views on whether to use kg1/2m1/2s-1 or N1/2, and whether to include units at all.

Contextual Notes

Some participants express uncertainty about the appropriateness of non-integer units and the implications of including them in a table format. There is also a mention of the context in which non-integer units may be valid, but this remains unresolved.

elegysix
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I have a table with several quantities in it, and one of them is [itex]\sqrt{T}[/itex] (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 [itex]\sqrt{T}[/itex] (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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