Questions tagged [unit-of-measure]

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

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement.

For example, length is a physical quantity. The metre is a unit of length that represents a definite predetermined length.

For most quantities, a unit is necessary to communicate values of that physical quantity. For example, conveying to someone a particular length without using some sort of unit is impossible, because a length cannot be described without a reference used to make sense of the value given.

But not all quantities require a unit of their own. Using physical laws, units of quantities can be expressed as combinations of units of other quantities. Thus only a small set of units is required. These units are taken as the base units and the other units are derived units.

Thus base units are the units of the quantities that are independent of other quantities and they are the units of length, mass, time, electric current, temperature, luminous intensity and the amount of substance. Derived units are the units of the quantities that are derived from the base quantities and some of the derived units are the units of speed, work, acceleration, energy, pressure, etc.

Different systems of units are based on different choices of a set of related units including fundamental and derived units.

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A very bizarre confusion

This is a maths problem I am not sure, but I know that normal paper money is approximately $1\text{mm}$ thick. But why is there $100$ notes in a $1\text{cm}$ thick paper money stacked in say banks? Wouldn't $1\text{mm}$ thick paper money imply that…
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I do not know how to convert a feet decimal

I have a height of 6.075 but need to convert in to normal form(1'5"). how do i do this.I have a math fair project coming up and have no clue how to change this.
applejacks
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$10^{20}$ eV to ton of TNT with the correct number of significant figures

I am trying to convert $10^{20}$ electron-volt to ton of TNT. What I know is: There are $10^{20}$ eVs which is 1 sig fig. 1 electron-volt = $1.602*10^{-19}$ J which is 4 sig figs. 1 ton of TNT = $4.18 * 10^9$ J which is 3 sig figs. This is my…
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Since 3.62 can be divided evenly by .1 does that mean it is a muliple of .1?

Medicare was billed 3.62 mg of a drug expressed with a code description of .1 mg per unit (in other words we billed 37 units of the code, because we rounded up). Medicare says if the dosage given is not a multiple of the number provided in the code…
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I am having trouble with solving measurment word problems

The problem goes as follows A swimming pool is 15 by 30 ft and a consistent 5 ft deep. You are painting he walls and floor of the pool. If a gallon can of paint covers 250 square feet how many gallons of cans would you need to buy? How to solve this
tina
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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 use different unit systems. Thanks in…
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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 transfer rate. A megabit (SI unit of measurement…
Baldrick
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Getting the number of significant digits in a multiplication/division.

What is the result of $$\frac{0.002843\cdot 12.80184}{0.00032}$$ with the correct number of significant digits? In the multiplication above, both have $7$ significant digits I think. Therefore the result must have $7$ as well... which would be…
Saturn
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Unit conversion equation

My company compares office rental price in multiple currency and units. Users can choose to view the price in USD per square foot or EUR per square metre or GBP per square yard, etc. For the sake of simplicity, let's say we are trying to convert the…
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sub-nanoseconds resolution

I found following statement in a higher engineering mathematics reference book, But couldn't understand how it has been determined ? I have two values as follows: nanoseconds - could be any 30 bit value sub-nanoseconds - any 16 bit value Now My…
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I have trouble understanding simple equality passage

I don't know why I always have trouble with these things, there is something that must do 'click' in my head. Knowing that 1000000 cm³ = 1 m³, how do you get that cm³ ----------- 0,000001 m³`? It is pretty obvious visually that 1 cm³ =…
JorgeeFG
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Significance of squared in meters per second squared

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 squared (1 m/s²) from a state of rest, when it achieves…
Port
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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): The foods can be produced up to 90000 per…
jeff1234
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Calculate Mean Annual Solid Load → Where is my error?

I have a task where I'm supposed to calculate the "mean annual solid load" in $Mt*yr^{-1}$. I am given the following equation and a table with data. There is one example, but the numbers don't add up when I try to calculate the mean annual solid…
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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 called Ksn. The units of Ksn (sort of a gradient that…