Measuring and Calibration: Difference between revisions

From Wikiciv
Jump to navigation Jump to search
defined, described, and gave an example of the mole.
Sargeras (talk | contribs)
Distance, mass, quantity
Line 118: Line 118:
|x10<sup>-1</sup>
|x10<sup>-1</sup>
|}
|}
The '''International System of Units (SI)''' is the modern metric system used globally for precise measurement. It defines seven base units (meter, kilogram, second, ampere, kelvin, mole, and candela) from which all other units are derived. These units are '''universal, coherent, and based on fundamental physical constants'''. By adopting SI units, a post-collapse society can '''restore scientific progress, fair trade, and efficient resource management''', laying the groundwork for sustainable development.


It would also be worth to make standards to calibrate all devices and ensure two measuring instruments (rulers, clocks, weighing scale, etc.) do not shift too much.


= The Units =
= Useful Things to Note =
== Distance: the meter ==
== Scientific Notation ==
The '''meter''' is described to be roughly the length of a walking step, using the more precise definition of '''the distance light can travel in 1/(299,792,458) seconds.''' This comes out to be roughly 3.33564095E-9 seconds
Numbers can get large really fast. To shorten this so that we don't have 30 zeros floating at the end of every number, we use some basic math to describe a notation. If the number has a E(some number here), e(number), or even x10^(number), this stands in the place of x10<sup>(number)</sup>.
 
This means that you can shorten the number 467,110,000,000 to 4.67110000000x10^11 or, roughly 4.67E11. A negative number means the same that any negative exponent means.


To approximate the meter, several methods exist:
This means you can turn the number 0.000000846 to 8.46E-7.


# a second-pendulum: by suspending a mass from a length of one meter
== Prefixes ==
Because the previous notation can be hard to read, prefixes are available to whatever unit you want. For instance, instead of 2.53x10^-5 meters, you could say 25.3 µm which means 25.3 "1-thousandth-of-a-meter". This is much easier to picture even though it is still really small.


== Mass: the kilogram ==
A common set of these prefixes go as follows:
{| class="wikitable"
|+
!name
!symbol
!meaning
!
!name
!symbol
!meaning
|-
|queta
|Q
|x10<sup>30</sup>
|
|quecto
|q
|x10<sup>-30</sup>
|-
|ronna
|R
|x10<sup>27</sup>
|
|ronto
|r
|x10<sup>-27</sup>
|-
|yotta
|Y
|x10<sup>24</sup>
|
|yocto
|y
|x10<sup>-24</sup>
|-
|zeta
|Z
|x10<sup>21</sup>
|
|zepto
|z
|x10<sup>-21</sup>
|-
|exa
|E
|x10<sup>18</sup>
|
|atto
|a
|x10<sup>-18</sup>
|-
|peta
|P
|x10<sup>15</sup>
|
|femto
|f
|x10<sup>-15</sup>
|-
|tera
|T
|x10<sup>12</sup>
|
|pico
|p
|x10<sup>-12</sup>
|-
|giga
|G
|x10<sup>9</sup>
|
|nano
|n
|x10<sup>-9</sup>
|-
|mega
|M
|x10<sup>6</sup>
|
|micro
|μ
|x10<sup>-6</sup>
|-
|kilo
|k
|x10<sup>3</sup>
|
|mili
|m
|x10<sup>-3</sup>
|-
|hecto
|h
|x10<sup>2</sup>
|
|centi
|c
|x10<sup>-2</sup>
|-
|deka
|da
|x10<sup>1</sup>
|
|deci
|d
|x10<sup>-1</sup>
|}


= The Units =
== Time: the second ==
== Time: the second ==
The '''second''' is historically defined through the '''duration of the day'''. One day is divided into 24 hours, which are first divided into 60 minutes which are in turn divided into 60 second each.
The '''second''' is historically defined through the '''duration of the day'''. One day is divided into 24 hours, which are first divided into 60 minutes which are in turn divided into 60 second each.
Line 135: Line 247:
* 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.
* 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.


More recently the second has been redefined as a number of vibrations of the cesium element, but in everyday life this definition does not have practical use.
There's also a "human" way to track time, but it can differ on all sorts of elements. Take this as a basic way to tell time.
 
Theres also a "human" way to track time, But it can differ on all sorts of elements. Take this as a "basic" way to tell time.
{| class="wikitable"
{| class="wikitable"
|+Human way to track
|+Methods to track time
!Unit
!Unit
!How to measure
!How to measure
!Equivalent to
!Equivalent to
|-
|-
|Breath.
|Breath
|Inhale and exhale.
|Inhale and exhale.
|~5 seconds.
|~5 seconds
|-
|-
|Heartbeat.
|Heartbeat
|Place your second and third finger from your thumb, on your wrist or neck, every beat is a pulse.
|Place your second and third finger from your thumb, on your wrist or neck, every beat is a pulse.
|~1 second.
|~1 second
|-
|-
|Sunrise to sunset.
|Sunrise to sunset
|From the moment you can see the sun, to the moment it can't be seen anymore.
|From the moment you can see the sun, to the moment it can't be seen anymore.
|~11-16 hours, depending on season and place.
|~11-16 hours, depending on season and place
|-
|-
|One sunrise to another sunrise.
|One sunrise to another sunrise
|From one sunrise to another.
|From one sunrise to another.
|~1 day, depending on where you are.
|~1 day
|-
|-
|30 sunrise to sunrise cycles.
|30 sunrise to sunrise cycles
|The time it takes to see 30 sunrises.
|The time it takes to see 30 sunrises.
|~1 month.
|~1 month
|-
|-
|4 months.
|One year
|about every 4 months, ~120 sunrise cycles.
|About every 12 months.
|~1 season.
|~365 days
|-
|4 seasons
|about every 4 seasons, 12 months, ~360 sunrise cycles
|~1 year
|}
|}
More recently the second has been redefined as a number of vibrations of the cesium element, but in everyday life this definition does not have practical use.
== Distance: the meter ==
The '''meter''' is described to be roughly the length of a large walking step. Using the more precise definition of '''the distance light can travel in 1/(299,792,458) seconds.''' This comes out to be roughly 3.33564095E-9 seconds.
To approximate the meter, several methods exist:
# A second-pendulum: by suspending a mass from a length of one meter and swinging it in small oscillations, the period of the pendulum is two seconds, which means it goes from one side to the other in one second.
# A hand-based ruler: the length between the thumb and the pinky when the hand is fully extended is roughly 20cm. Therefore, five times this length is close to a meter.
Distance can be used to describe area, and volume, depending on the number of dimensions used:
* Two distances define an area, for example a one-meter by one-meter square has an area of one-meter-squared.
* Three distances define a volume, for example a one-meter by one-meter by one-meter cube has an area of one-meter-cubed.
Remarque: Yes, the light has a speed, albeit incredibly fast. And as this speed is constant, it has been used to define the meter without requiring a physical object.
== Mass: the kilogram ==
When the meter has been defined it can help to get the mass unit, the '''kilogram''', which is defined as the mass of a volume of water in a 10cm x 10cm x 10cm cube.


== Electric current: the ampere ==
== Electric current: the ampere ==
== Temperature: the kelvin ==
== Quantity: the mole ==
The '''mole''' is not really a unit as much as it is a big number which makes it easier to count bit quantities.


== Temperature: the kelvin ==
It is originally defined as the number of atoms contained in 12g of of carbon 12, which amounts to roughly 6,022 ×10<sup>23</sup>.


== Quantity: the mole ==
This number is huge and not really useful in everyday life and is mainly used in chemical processes which need precision.
The number of atoms in 1 gram of Carbon-12. A mole is a counting unit. The units of moles are abbreviated as mol. Just like you can have 1 dozen eggs which is 12 eggs, you can have 3 moles of atoms. The definition based off of Carbon is to make the mole a standard number of atoms. This number is roughly 6.022E23. This is a lot of atoms but as per the definition, 1 gram of carbon-12 has exactly 1 mole of Carbon atoms. This leads to the statement that Carbon-12 weighs exactly 12 grams for every mol. This unit gives chemists a nice way to convert between ratios of atoms and amount of the substance. For instance, H<sub>2</sub>O is the chemical formula for water. This means in order to make one molecule of water, you need two atoms of Hydrogen for every one atom of Oxygen. Barring the fact that Oxygen does not naturally occur in one singular atom, you could say that since one atom of Hydrogen weighs 1.00794 grams per mol, and Oxygen weighs 15.999 grams per mol, you could say for every 1.00794 grams of Hydrogen you need 15.999 grams of Oxygen to create water with little to no excess.


== : the candela ==
== Light: the candela ==


== Useful sub-units ==
== Useful sub-units ==
=== Frequency: number of occurrences per second ===
=== Frequency: number of occurrences per second ===
=== Force: mass x displacement over time ===
=== Force: mass x displacement over time ===
=== Pressure: force over surface ===
=== Pressure: force over surface ===
Energy
Energy
[[Category:Maths]]
[[Category:Maths]]
[[Category:Physics]]
[[Category:Physics]]

Revision as of 18:58, 20 May 2025

The International System of Units (SI) is the modern metric system used globally for precise measurement. It defines seven base units (meter, kilogram, second, ampere, kelvin, mole, and candela) from which all other units are derived. These units are universal, coherent, and based on fundamental physical constants. By adopting SI units, a post-collapse society can restore scientific progress, fair trade, and efficient resource management, laying the groundwork for sustainable development.

Useful Things to Note

Scientific Notation

Numbers can get large really fast. To shorten this so that we don't have 30 zeros floating at the end of every number, we use some basic math to describe a notation. If the number has a E(some number here), e(number), or even x10^(number), this stands in the place of x10(number).

This means that you can shorten the number 467,110,000,000 to 4.67110000000x10^11 or, roughly 4.67E11. A negative number means the same that any negative exponent means. (See basic rules of Math)

This means you can turn the number 0.000000846 to 8.46E-7.

Prefixes

Because the previous notation can be hard to read, prefixes are available to whatever unit you want. For instance, instead of 2.53x10^-5 meters, you could say 25.3 µm which means 25.3 1 thousandths of a meter. This is much easier to picture even though it is still really small.

A common set of these prefixes go as follows:

name symbol meaning name symbol meaning
queta Q x1030 quecto q x10-30
ronna R x1027 ronto r x10-27
yotta Y x1024 yocto y x10-24
zeta Z x1021 zepto z x10-21
exa E x1018 atto a x10-18
peta P x1015 femto f x10-15
tera T x1012 pico p x10-12
giga G x109 nano n x10-9
mega M x106 micro μ x10-6
kilo k x103 mili m x10-3
hecto h x102 centi c x10-2
deka da x101 deci d x10-1

The International System of Units (SI) is the modern metric system used globally for precise measurement. It defines seven base units (meter, kilogram, second, ampere, kelvin, mole, and candela) from which all other units are derived. These units are universal, coherent, and based on fundamental physical constants. By adopting SI units, a post-collapse society can restore scientific progress, fair trade, and efficient resource management, laying the groundwork for sustainable development.

It would also be worth to make standards to calibrate all devices and ensure two measuring instruments (rulers, clocks, weighing scale, etc.) do not shift too much.

Useful Things to Note

Scientific Notation

Numbers can get large really fast. To shorten this so that we don't have 30 zeros floating at the end of every number, we use some basic math to describe a notation. If the number has a E(some number here), e(number), or even x10^(number), this stands in the place of x10(number).

This means that you can shorten the number 467,110,000,000 to 4.67110000000x10^11 or, roughly 4.67E11. A negative number means the same that any negative exponent means.

This means you can turn the number 0.000000846 to 8.46E-7.

Prefixes

Because the previous notation can be hard to read, prefixes are available to whatever unit you want. For instance, instead of 2.53x10^-5 meters, you could say 25.3 µm which means 25.3 "1-thousandth-of-a-meter". This is much easier to picture even though it is still really small.

A common set of these prefixes go as follows:

name symbol meaning name symbol meaning
queta Q x1030 quecto q x10-30
ronna R x1027 ronto r x10-27
yotta Y x1024 yocto y x10-24
zeta Z x1021 zepto z x10-21
exa E x1018 atto a x10-18
peta P x1015 femto f x10-15
tera T x1012 pico p x10-12
giga G x109 nano n x10-9
mega M x106 micro μ x10-6
kilo k x103 mili m x10-3
hecto h x102 centi c x10-2
deka da x101 deci d x10-1

The Units

Time: the second

The second is historically defined through the duration of the day. One day is divided into 24 hours, which are first divided into 60 minutes which are in turn divided into 60 second each.

  • 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.

There's also a "human" way to track time, but it can differ on all sorts of elements. Take this as a basic way to tell time.

Methods to track time
Unit How to measure Equivalent to
Breath Inhale and exhale. ~5 seconds
Heartbeat Place your second and third finger from your thumb, on your wrist or neck, every beat is a pulse. ~1 second
Sunrise to sunset From the moment you can see the sun, to the moment it can't be seen anymore. ~11-16 hours, depending on season and place
One sunrise to another sunrise From one sunrise to another. ~1 day
30 sunrise to sunrise cycles The time it takes to see 30 sunrises. ~1 month
One year About every 12 months. ~365 days

More recently the second has been redefined as a number of vibrations of the cesium element, but in everyday life this definition does not have practical use.

Distance: the meter

The meter is described to be roughly the length of a large walking step. Using the more precise definition of the distance light can travel in 1/(299,792,458) seconds. This comes out to be roughly 3.33564095E-9 seconds.

To approximate the meter, several methods exist:

  1. A second-pendulum: by suspending a mass from a length of one meter and swinging it in small oscillations, the period of the pendulum is two seconds, which means it goes from one side to the other in one second.
  2. A hand-based ruler: the length between the thumb and the pinky when the hand is fully extended is roughly 20cm. Therefore, five times this length is close to a meter.

Distance can be used to describe area, and volume, depending on the number of dimensions used:

  • Two distances define an area, for example a one-meter by one-meter square has an area of one-meter-squared.
  • Three distances define a volume, for example a one-meter by one-meter by one-meter cube has an area of one-meter-cubed.


Remarque: Yes, the light has a speed, albeit incredibly fast. And as this speed is constant, it has been used to define the meter without requiring a physical object.

Mass: the kilogram

When the meter has been defined it can help to get the mass unit, the kilogram, which is defined as the mass of a volume of water in a 10cm x 10cm x 10cm cube.

Electric current: the ampere

Temperature: the kelvin

Quantity: the mole

The mole is not really a unit as much as it is a big number which makes it easier to count bit quantities.

It is originally defined as the number of atoms contained in 12g of of carbon 12, which amounts to roughly 6,022 ×1023.

This number is huge and not really useful in everyday life and is mainly used in chemical processes which need precision.

Light: the candela

Useful sub-units

Frequency: number of occurrences per second

Force: mass x displacement over time

Pressure: force over surface

Energy