# Questions tagged [unit-of-measure]

This tag is meant for questions concerning the use of units in the measurement of a quantity.

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### Conversion of a result number to a specified unit of measure

It's a very simple question, but I need to know how to convert numbers, because in several cases I ran into this topic and felt unsure about this. So for example we're counting a unit measure of time, ...
1 vote
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### What is the reason for the ratios of square units not being the same as the ratios of units [closed]

When you have a square with side length 1 yard you get an area of 1 yd$^2$. When you convert the units of this square to feet you get a square with side length 3 and therefore an area of 9 square feet....
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### Which distances can I run on my treadmill?

This is a real-world question, prompted by some unusual features on my treadmill and which I thus think about while running. In a sub-menu on my treadmill, I can select a distance that I want to run. ...
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1 vote
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1 vote
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### Convert ln(mm^2) to linear cm^2 [closed]

I'm working on a meta-analysis of data extracted from scientific literature. One paper reported their data as $ln(mm^2)$ (see panel F in the figure below from https://doi.org/10.1007/s11258-009-9695-z)...
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### How should I interpret the exponent of my units? (meters raised to the power of a number in the range $0 - 1$)

In my research I'm working with river profiles. We always define a concavity index which is a number in the range from 0.2 to 0.6. That index is necessary for the calculation of another indicator ...
211 views

### Units and $ax^2L^2+bxL+c=0$ in the real world?

It seems that most math equations that come from the real world usually come with dimensions, even though those dimensions are generally ignored. I'm speaking of general dimensions, which include not ...
420 views

### Why is it valid to treat units as variables?

I've always taken for granted the fact that units can be treated as variables in mathematical expressions. If you have an object that travels $10m$ in $2s$, you can simply divide the length by the ...
1 vote
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### How do units work for multivectors? (Clifford/Geometric algebra) [closed]

Suppose we work with $\mathcal{G}(2)$. If the units of $e_{1}$ and $e_{2}$ are of length, it makes sense that the units of $e_{12}$ would be of area. But then what are the units of scalars? And what ...
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### Names for equations that do and don't explicitly include units in them?

I realize the question is vague; my question is actually how to clarify it. Is there any terminology distinguishing the two types or styles of equations in these examples? Ex. 1. The following ...
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### Can the units of an arbitrary differential operator be completely arbitrary on a smooth manifold?

On a smooth manifold, given any two derivative operators $\tilde{\nabla}_{a}$ and $\nabla_{a}$, there exists a connection $C^{c}_{ab}$ such that, acting on a metric tensor $g_{bc}$, we have: \begin{...
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### Integral as area under a curve

Let $f(x)=x.$ If the units of $x$ are meters, then the area under the curve $y=f(x)$ between $x=1$m and $x=2$m is $\frac12(2\text m)^2-\frac12(1\text m)^2 = 1.5\text m^2.$ Now let $f(x)=x^2.$ Again, ...
1 vote
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### How do I convert 60mph to light years per second using scientific notation?

I tried to follow along with this units video (https://youtu.be/hQpQ0hxVNTg) and convert 60 miles per hour to light years per second. I don't get the same answer as the video does. I feel really dumb! ...
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### Convert unit measures for a problem from zill book

I have some questions about a solution for a problem from Zill book "A first course in differential equations 10th edition". I attached an image with the problem PROBLEM AND SOLUTION. I have ...
117 views

### Correct term for percentage in decimal form (repost) [duplicate]

I am looking for a precise term of the "decimal form of percentage" - f.x. 0.35 instead of 35%. It was previously discussed 6 years ago (Correct term for percentage in decimal form) and some ...
86 views

### How to convert minutes into months, days and minutes with a high precision?

I'm want to do a time convertion, and I' facing a precision problem. I'have the time in minutes, and I want to change it into Months, days, hours, and minutes formant I've did a table in excel to ...
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1 vote
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### Is there a unit equal to 2pi radians?

We can cut up circles in whatever size chunks we choose -- we normally choose to cut them up so that the size of the angle of an entire circle is $2\pi$ or 360. Said differently, we choose units to be ...
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### Is the Algebra of Physical Quantities standardized?

I'm really surprised that I can't seem to find a canonical means of representing a measurement like 1 meter in an algebra. I found George Hart's work from the 80s (...
1 vote
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### Doubts regarding arc length of a circle/units

how is this dimensionally correct? why does the degrees or if expressed in radians,disappear i.e. why does length of an arc have unit meters and not radian meter/ degree meter? Can someone explain it ...
451 views

### Inches vs Inches^3

Peace to all. After gathering and calculating the measurements by volume (of a box), will the results be in regular inches or will they be in inches^3? For example, if the dimensions of the item are ...
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### Which measurement unit is the correct one?

For example, Speed of car = 60 km/h Speed of car in 1 hour = 60 km I know the first one is correct, but how about the second one, and why? Another example, Price of 6 bottles = 6 dollars Price of 6 ...
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### What are the units of an inverse matrix?

As the title suggests. For example if I have a matrix $A = \begin{pmatrix} a & b\\ c& d \end{pmatrix}$ and all elements consist of variables with units $kg$ and then I take the inverse of ...
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1 vote
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### How do I convert units from per radian seconds to arcseconds per year?

I am working on calculating axial precession of a planet orbiting a star, starting by attempting to follow along with Wikipedia's article on the topic. I have gotten through most of it without much ...
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### How can we think of the codomain (range) of a probability density function?

Let $f$ be a probability density function (PDF) with domain $D$. How do you think about the codomain (range) of $f$? I'm only able to make sense of this when considering $f$ on an interval; \$\int f(x) ...
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1 vote
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### Conversion from epoch time to (dd/mm/yyyy) date format

The title pretty much explains my problem. I´m given the number of seconds that have passed since the 1st of January 1970 and I have to return today´s date in (dd/mm/yyyy) format. I know how to ...
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### Can time be measured in degrees?

As far as I know, minutes and seconds (units of time) are definitely somehow related to the angular conversions we study in high school math (1 degree = 60 minutes, so on and so forth). So why don't ...
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