Questions tagged [units]

Units are standards of measurement used for different types of quantities.

The most prevalent system of units is the SI (Système international d'unités). It consists of seven base units: meter (length), kilogram (mass), second (time), ampere (current), kelvin (temperature), candela (luminous intensity), and mole (amount of substance). Units for other quantities are derived from these, for example velocity is $\text{m/s}$ or meter-per-second.

Units need not make any physical sense unless rearranged in the correct manner. For example, writing surface tension as $\mathrm{\frac{kg}{s^2\cdot m^2}}$ need not make any intuitive sense. If it is rewritten as $\mathrm{N \cdot m^{-1}}$, then we can clearly see that it has to do with force per unit length.

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Why can fuel economy be measured in square meters?

With help from XKCD, which says Miles are units of length, and gallons are volume — which is $\text{length}^3$. So $\text{gallons}/\text{mile}$ is $\frac{\text{length}^3}{\text{length}}$. That's just $\text{length}^2$. I recently realised that the…
AvahW
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Are there any scales other than temperature that have different zero points?

For most physical measurements, zero is the same regardless of the units used for the measure: $0 \mathrm{mi} = 0 \mathrm{km}$ $0 \mathrm{s} = 0 \mathrm{hr}$ but for absolute temperatures, different systems have different zeros: $0 ^\circ\mathrm{C}…
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What exactly is a kilogram-meter?

This question isn't just about kilogram-meters, it's about multiplied units in general. I have a good mental conception of divided units, e.g. meters per second or grams per cubic meter. Meters per second just (usually) means how many meters are…
dirtside
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Units don't match in the torsional spring energy!

According to Wikipedia's description of torsion springs and according to my understanding of physics the energy of a torsional spring can be written as $$U=\frac{1}{2}k \varphi^2$$ where $k$ is a constant with units of $\rm N\,m/rad$. I am…
skrat
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What exactly is a mole?

I have some trouble understanding exactly what a mole represents. As I understand, one unit mole is 1/12 of the mass of an atom of carbon-12 (thus it is the mass of one nucleon?). What is a mole, then?
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convert units for spectral irradiance

How can I convert $$ W m^{-2} sr^{-1} nmm^{-1} $$ to $$ W m^{-2} nm^{-1} $$ I have the following matlab code to illustrate the spectral energy distribution of solar radiation: h = 6.626e-34; % Planck's Constant = 4.135 x 10^-15 eV s c = 3e8; …
KatyB
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Physical interpretation of describing mass in units of length

I'm working in Taylor and Wheeler's "Exploring Black Holes" and on p.2-14 they use two honorary constants: Newton's constant divided by the speed of light squared e.g. $G/c^2$ as a term to convert mass measured in $kg$ to distance. Without doing…
user756
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Units of Hubble Time and Hubble Constant?

When we have Hubble constant and it's inverse Hubble Time (1/H) what units are they measured in? I know Hubble constant is in "km/s per Mpc" but is there any other units which are popular used with it, and if so is there any conversion between the…
Hatmix5
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Interseting question regarding a variant of vernier calipers

So our professor asked us to come up with interesting questions on vernier calipers as he taught us about them today. Obviously I could have Googled some up and gave it to him however for my own sake I wanted to do some thought. What came to my mind…
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If we are using [eV] as a unit for energy, what, then, should the unit for mass and distance be?

This seems obvious but it is confusing since I know that in MKS (i.e. SI) system, we use Joule with Meter with KG. But if we're using electron volt (1.6e-19 J) for energy, should we change the mass and distance units too?
student1
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What is the physical interpretation of force times area?

I know that $\text{Force} \times \text{Distance = Work}$. But, what would be the physical meaning of $\text Force \times \text Area?$ Is such a quantity used in physics?
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Force and Natural Units

Today in my Physics lecture I suddenly thought of something. We all know that gravitational force is proportional to the two masses and inversely proportional to the square of the distance between them. So, naturally, there exists a system of…
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Conversion from barn unit to square meter?

I read Wiki: http://en.wikipedia.org/wiki/Barn_(unit) on this and calculations under the 'Conversion from squared prefixed SI units' do not look like correct. Is 1fm^2 = 10 mb ? (or 1b = 100m^2 ) . Which one is correct and how do you calculate…
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Differences between 3 apples and 3 kg of apples according to base units

7 base units are defined in physics and other units are derived from these units. When we say "3 kg of apples", we mention its mass and mass is a base unit. But for "3 apples", what is its unit? Is this what unitless is?
user50322
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Which unit system is used in the paper: "Multiphoton absorption coefficients in solids"?

I am trying to follow the equations in the paper "Multiphoton absorption coefficients in solids: a universal curve". Here the authors state that they use the following equation for calculating the value for…
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