For questions related to conversion of units.

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0answers
20 views

Function that divides expression by unit [on hold]

Originally posted here. This is really a technicality, but something I came to think about recently that it is about time I asked about: Is there an established function which divides an expression ...
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3answers
29 views

Significance of squared in meters per second squared [closed]

What exactly is the difference between $3 \mathrm m/\mathrm s^2$ and $3 \mathrm m/\mathrm s$? According to Wikipedia... An object experiences a constant acceleration of one metre per second ...
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1answer
25 views

How many gallons are used in the U.S. each day and if this gasoline were used to fill a cubical tank how big would one side be?

The question I am trying to solve is: Part I) How many gallons of gasoline are used in the U.S. in one day assuming there are $2$ cars for every $3$ people and each car is driven $10,000$ miles a ...
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1answer
42 views

Why is the cos, sin definition of the unit circle true?

So imagine we have a unit circle and there a point $M$ on it. Then the $x$ coordinate of $M$ is $\cos(\theta) $ ($\theta$ is the angle ${IOM}$ as you know) and its $y$ coordinate is $\sin(\theta)$. ...
14
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8answers
2k views

Why do we require radians in calculus?

I think this is just something I've grown used to but can't remember any proof. When differentiating and integrating with trigonometric functions, we require angles to be taken in radians. Why does ...
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2answers
63 views

Two dimensional integral gives a volume, but what if I don't deal with distances and volumes?

I have I believe a simple question which relates to two-dimensional integral. I have been reading enough (and watch video tutorials) on the technique to hopefully understand it well. Every tutorial ...
3
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7answers
143 views

Software for unit aware calculations?

When doing engineering calculations it is great convenience to do have software that keeps track of units. Example when calculate something trivial as stress: $\sigma = \frac FA$ And be able to ...
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1answer
15 views

cross-products versus units of measure

If I draw 2 perpendicular line segments on the ground, 3 meters and 4 meters, how far into the sky does their cross-product extend? What if instead the line lengths are 300 cm and 400 cm? Can ...
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0answers
14 views

The change in weight of solids in a cylinder when scaled up

The volume of the substrate in a small cylinder is 1 litre with 650.14g of gravel making 500ml and 785.63g of grit making the other 500ml. the radius of the small cylinder is 4.9cm. It is acting as a ...
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1answer
35 views

Angular speed to linear speed: Arbitrarily discarding Radians units?

I asked this question long ago, but wanted to see if I can get some new perspectives this time. Why is the radians implicitly cancelled? Somehow, the feet just trumps the numerator unit. For all ...
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2answers
56 views

Square Root Yields Different Result After Unit Conversion [duplicate]

This is boggling my mind. The square root of 100 seconds is 10 seconds The square root of ...
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0answers
727 views

How to find out the depth of a cuboid

A water tank in the form of a cuboid is 15m long,10m wide. What will be depth of this tank, if it contains a maximum of ...
1
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1answer
81 views

Radian, an arbitrary unit too?

I just browsed through various sources fore questions related to the advantage of use of radians compared to other measurement units. The question I started the investigation for, however, stands as I ...
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2answers
40 views

How to change to same units

Could anyone help me change it into same units/ values? I need to have them all in "years" Demand(D): Every month there is 5000 food: Therefore, $D= 5000 * 12 = 60000$ food per year Production(P): ...
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1answer
29 views

D=P/gv^3 what units is the D

(Sorry for my bad english) I got a task to do: In the research, scientists noticed that the necessary power P is obtained from P=Dgv^3, where D is constant, g is the earth's standard acceleration ...
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2answers
22 views

What is the length of the bar needed to represent 75 kilometers( in centimeters)?

In a bar graph, 1 centimeter represents 30 kilometers. What is the length of the bar needed to represent 75 kilometers( in centimeters)?
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1answer
25 views

Conversion Question

A heavy rain fell on a city for 26 minutes, at a rate of 3.9mm/hr. If the area of the city is 244km^2, how many gallons of water fell on the city that day?
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1answer
57 views

Rates of Change Question with Mixed Units

I have come across the following question in a past exam paper of a module that I will be teaching this semester. The volume $V$ of m$^3$ of earth removed from a pit after $t$ hours is given by ...
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1answer
311 views

Units in definite integral

I've been given a problem in my electrical engineering class which is confusing me. I'm given $i(t) = 5\sin(6 \pi t/\mathrm s)\, \mathrm{mA}$ (mA is mC/s) and I need to find the total charge ...
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4answers
214 views

Is there an established notation, either modern or historical, for any unit of measure which is then further subdivided into 360 degrees or parts?

This question about notation is simple as dirt, but would be useful for me regardless, because of some work that I'm doing in music theory. Basically, while there's a notation for subdividing the ...
0
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1answer
47 views

convert from one time scale to another

i would like to exactly to convert given scale of time into years and month,suppose we have time $T = 2.35$ years clearly it is more then $2$ year,but what about $0.35$?in which scale it is given? ...
3
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0answers
59 views

What could volume * mass be called? [closed]

I need a denotation for a rather unusual unit. $$ \frac{m}{V} $$ is called density. So what could $$ m \cdot V $$ possibly be called, or is there maybe already a denotation for it? I'd furthermore ...
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2answers
393 views

Arbitrarily discarding/cancelling Radians units when plugging angular speed into linear speed formula?

Why is the radians implicitly cancelled? Somehow, the feet just trumps the numerator unit. For all other cases, you need to introduce the unit conversion fraction, and cancel explicitly. Is it ...
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2answers
257 views

Calculating distance, time, given lightyears, speed.

A lightyear is defined as the distance that light travels in a year (i) calculate, in meters, the distance of $1$ light year, give your answer In standard form( speed of light=$3\times10^8$ m/s, ...
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1answer
82 views

What are the units of Singular Value Decomposition components?

I have a symmetric variance/covariance matrix $A$ which is of size 27 x 27. I know that it is rank deficient and that it is rank 21. I also know that the units of $A$ are $m^2$. I am trying to use ...
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2answers
58 views

Units in this problem: velocity or distance?

I know this is slightly off-topic here, but it's really bothering me. My class was given the following immensely simple problem today: A bird flies due south at a constant speed of ...
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1answer
53 views

The question is how many ounces (dry material) to add to one gallon of water?

The question is how many ounces (dry material) to add to one gallon of water? Formula given was 45.5g/100ml 45.5 grams (dry)= powdered sodium carbonate 100 ml (fluid)= water
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1answer
34 views

problem with units when calculating with angles

I have this formula to calculate the refraction of a star in the sky (the difference between where the star appears and where it really is.) $z_0 = z + 60''\times \tan z$ where $z_0$ is the ...
2
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2answers
58 views

Can minutes be used to measure the length?

I am using an Old American maths textbook and it uses US customary units. For the length, they use minutes (like $6'$ for the altitude of a triangle). How is this related to foot which is the unit of ...
0
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1answer
233 views

Is there a “metric system” equivalent for measuring time? [closed]

Just as in the metric system it's easy to convert from one unit of measurement to another using base 10, is there any calendaring system that measures time in an equivalent way? In other words, is ...
3
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1answer
152 views

Can you calculate an area of a curve using a string?

Take a look at this curve. Imagine that I have drawn this on a paper, and that I want to find the area of it. (The thickness of the line is assumed to be constant). Assume that I use a string to ...
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1answer
575 views

convert joules to watts

I am investigating the changes in heat fluxes from a given body of water where the measurements are shown in units of W/m2. There are alternative methods for determining the heat fluxes from a given ...
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3answers
187 views

converting units - Joules to gcm

I have a rather basic mathematical question regarding converting units. I have read some papers that measure a given variable in Joules per meter square (Jm^{-2}) and others that measure the variable ...
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2answers
184 views

Is there a limit to how exact $\pi$ can be calculated? [duplicate]

Possible Duplicate: Do We Need the Digits of $\pi$? Working out digits of Pi. What are the limitations? Faster computers More accurate measuring devices
0
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1answer
40 views

Is there a common notation for a group formed by appending a unit (eg. seconds) to some group?

Assume $(G,+)$ is an (abelian) group. And we have some unit $u$ (not the unit from ring theory, but some measurement unit like meters, seconds, etc.). Then with $G_u = \{k\ u \mid k \in G\}$ and ...
0
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1answer
77 views

Question on bel and decibel?

What do these units of measurement mean? In Analogue Electronic class, the Prof uses $20 \log_{10}$ and in my Networks and Protocols class, the Prof uses $10 \log_{10}$ but they both refer ...
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3answers
5k views

Units of a log of a physical quantity

So I have never actually found a good answer or even a good resource which discusses this so I appeal to experts here at stack exchange because this problem came up again today. What happens to the ...
0
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4answers
73 views

A Time Calculation Problem: 3yrs or 3yrs and 1 day?

Suppose, a person A has his birthday on 30 Sept 1994 and another person B has his birthday on 30 Sept 1997, then which of the following statement would be correct and why? The difference between the ...
1
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1answer
273 views

Best possible metric vs imperial conversion table?

Is there a better, smarter way of structuring a metric vs imperial conversion table than the one below? I.e. for a spreadsheet for calculating storage / shipping costs for products whose suppliers ...
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2answers
103 views

How do I have to interpret $\mathrm{nm}^2$?

My short question: How many $\mathrm{m}^2$ are $\mathrm{nm}^2$? Do I have to interpret it as $\mathrm{nm}^2=(\mathrm{nm})^2=(10^{-9}\mathrm{m})^2=10^{-18}\mathrm{m}^2$ or shall it be ...
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2answers
101 views

How can I convert between powers for different number bases?

I am writing a program to convert between megabits per second and mebibits per second; A user would enter 1 Mebibits p/s and get 1.05 Megabits p/s as the output. These are two units of computer data ...
2
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2answers
261 views

What *is* 1 cm$ ^{ -3}$?

I am having trouble with notations like 1 cm$^{-3}$, especially since I am converting them between compound units. Is there a way to express 1 cmcm$^{-3}$ without writing the negative exponent? The ...
2
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2answers
159 views

Using Ruler to Measure Irrational Number

If I would draw a right triangle with legs of length 1 centimeter with a ruler then its hypotenuse should be equal to $\sqrt2$ which is an irrational number - therefore its decimal representation, ...
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1answer
62 views

Atmospheric Pressure & the Height of Mercury in a Tube [closed]

I wanted to find out what the height of some mercury reaching 1m in a tube when inverted and placed in a beaker, again of Mercury, would be? I know that: Atmospheric Pressure ($P$) $ \approx 10^5 ...
3
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3answers
114 views

Where should the exponent be written in numbers with units of measurement?

If you are to calculate the hypotenuse of a triangle, the formula is: $h = \sqrt{x^2 + y^2}$ If you don't have any units for the numbers, replacing x and y is pretty straightforward: $h = \sqrt{4^2 ...