???????? ??????
(
Metric system
?
???????? ???????
) ?????
?????
???????
?????
,
??????
???????
??????????
????
?????
,
?????
??????? ????? (
??????????
) ?? ?????? ?? ??????.
[1]
??????, ?????????, ????????? ????????
[
??????
]
?????? ???????? ???? ??????? ???? ???????. ?????? ?? ?????? ???? ???? (theory), ????? ?????? ???? ??????? (experiment). ??????? ?????? ????? ????????? ???? ???? ???????. ???? ???????, ?????, ??? ?????????????, ?????? ??????? ?? ???? ????? ?????????. ? ???? ??????? ?????? ????? ?????????? ???? ??????? ?????? ?????????? ?????? (thesis) ??????. ???? ?????? ???? “?????? ?????????” ??? ?????????????. ????? ????? ????????? (hypothesis) ??? ???????? ??? ?????????. ?????????? ??????? ??????? ?? ???????? “????” (hypo) ???? “??????” ??? ???? (???. ???????????? ???? ????? ??????), “?????? ???????? ????” ??? ???? ?????. ???? ????????? ???? “???????? ?????? ?????.” ??? ???????? ?????? ??????? ??????? ?????? ????? ????????? ????? ????????????????.
???????? ?? ???? ????? ????? ??????? ??? ???? ???????? ???????????? ??????????? ?????? ???? ?????? ??????? ???????????? ???????. ?? ?????? ????? ????? ??? ??????? ?????? ????? ??????????? ?????? ???? ???? ??????? ???????????? ??????? ????????. ? ?????????? ?????? ( measurement) ??????. ??? ??????? ?????? ??????? ???? "????" ( measurement) ??????. ???? ?????? ???? ?? ?????????? ?? ????? (value), ?? ??????? (unit) ??????. ?????????? ?? ????????? (measuring tool) ??????. ??????? ?????????? ??????, ???????? ?????????? ???????, ???????? ??????????
????? ????
, ?????? ??????????
????????
, ??????? ???????. ???????? (????, ????????)
???????????
,
????????
???????? ????
??????????
, ?????????????? ????????.
?????? ??????? ?????????? “????, ????" ????? ????????? ????????. (???? ???? 5 ?????, ???? ???? 10 ?????!). ? ????????
?????? ???????
,
?????
????????? ??????? ??????????
???
, ????, ????, ????,
????
, ??????? ????????. ??????? ???? ????, ???????, ??????, ?????, ???? ???? ??? ?????? ????????. ?????????? ???????? ???????? ?????? ???? ????????, ????? ???????, ???? ???? ??????? ????????.
???????? ?????????
[
??????
]
??? ?????? ????? ?????? ???? ????????? ?????? ???? ??? ??????? ?????. ???????, ??????? 18 ? ??????????? ?????????? “???????? ??????” ?????? ????????. ? ???????? ???????? ???????????????, ?????????? (mass) ?? ???????????, ???????? ???????? ???? ??????? ??????? ??????. ? ????????? ??????????, ??????, ?????? ????? ??? ???????? (measuring units) ????????? ???????. ????????, ?????? ???????? ????????:
? ??????? ??????? ??? ??????????, ??? ??? ?????????? ???? ????????????? ??????? ????????? ??????? ??????????????? (prefixes) ?????? ???? ???????.
? ?????? ????? ???????? ???????? ?????????? ????, ?????????, ???????? ??????? ?????? ?????? ??? ??????? ????, ??? ??????? ???? ???? ???? ????????? ???????? ????? ?????. ? ???????? ??????????? ????????? ????????? ??? ? ?????? (SI ???? Systeme Internationale) ??????. ????????, SI ???????? ????????:
????? (????, SI ????????) ?????? ????????? ?????? ????? ??????????. ???????? ????????????? ?????????????? ????? ??????? ??????????. ?????????? (mass) ?? ????????? ??????? ????????????? ???????????. ???? ???? “????”?? ???????????? ???????????? k ??????? ??????? ?????????????. SI ???????? ????????? (volume) ????; ???????? ???? ???????? ???????? ????????? ???????? ????. ???????? “??????” ?????? ?????????????. ??????????? ???????? ?? ??????????. ????? ???????? ?? “????????” ???? ??? ????????. ?? ?????? ????? ???????? (??????? ???? ???????) ??????? ?????????????? “
????
” ?????? ???? ???????. ????? ?????????? (???? ???????????) ??????????? ?????????? ???????, ????? ??? ???????????? ???? ?????????? ???? ??????? ???????. ? ???????? ???? ?????? ?????? ????, ???????, ???????.
- ?????????? ???????? ??????????? ???????? ?????????? “????” ??? ??????? ???????.
- ?? ??????? ????? ???? ?????????? ??????? ?? ?????? ???? ?????????? ?????? ?? ??????? ???????????? ????? ??????. ????,
- ?????? (??????????) = ??????? (??????????) x ???? (?????????)
??????? ?????????
[
??????
]
?????????? ?????? ??????? ?????? ? ??????? ??? ?????? ????? ??????????.
?????????
| ??????
| ??????
| ????
|
????
| v
| m s
-1
|
|
????????
| A
| m
2
|
|
?????????? (???????)
| v
| s
-1
| ???????? (Hz)
|
???
| F
| kg m s
-2
| ??????? (N)
|
?????
| E
| kg m
2
s
-2
| ???? (J)
|
- ????????
?????????? ???? ??????? ???? ????? ???????.
???????? (area) = ?????? (????????) x ??????? (????????)
???? ???????? ????? ?????? "????? ???????" ???? “????? ???????” ???? “????? ????????” ????????. ?????? m
2
??? ????????. “????? ????????” ??? ?????????.
- ????
(velocity) ????? ?????? “???????? ????? ???????.” ?????? m/sec ??? ???? m. s
-1
??? ???? ????????. “??????? ???? ??????” (meters per second) ??? ?????????.
- ??????? (frequency) ????? ?????? “???????? ????? ?????? ??” (cycles per second) ???? ????? ???????? (Hertz). ????????? ??????????? ???????? ??? ?????? ????; ???? ?????? ??? ?????????? ???? ????. 100 Hz = 100 cycles per second.
- ???
(Force) ????? ?????? ?????. ?????? kg. m. sec
-2
??? ????????. ?????????? ????? ???? ?????? ???????? ??? ?????????. ???? ????? ???????? ????? ?????????? ??????? . ???? ?????????? ????? ????? ????? ???????? ??? ???????.
- ?????
(energy) ????????? “????.” ?????? kg. m2. sec
-2
??? ????????. ????? ???????? ????? ?????????? ????? ???????. ???? “?????????? ????? ???????? ???? ?????? ????????.”
??? ????? ????????????? ????? ?????????? ???? ????? ????? ???? ????.
???????????????
[
??????
]
??????? ??????? ??? ??????? ????, ??? ??????? ???? ????? ???????????????, ?????? ???? ?????? ???? ???????. ???????? ?????? ?????? ???????? ?????? ??????. “???? ??????” ???? “????” ??????? (1,000,000) ?? ??????????. ???? 1000 ?? ??????????. ?????????? ???? 1000 ????????. ??? ?????? ?????? ???? ??????? ????. ?????? ???? ?????? ????.
?????????????
| ??????
| ?????
| ?????
| 10 ????? ???????
|
Exa- (?????-)
| E
| 1,000,000,000,000,000,000
|
| 10
18
|
Peta- (????-)
| P
| 1,000,000,000,000,000
|
| 10
15
|
Tera- (????-)
| T
| 1,000,000,000,000
|
| 10
12
|
Giga- (????-)
| G
| 1,000,000,000
|
| 10
9
|
Mega- (????-)
| M
| 1,000,000
|
| 10
6
|
Kilo- (????-)
| k
| 1,000
|
| 10
3
|
Hecto- (??????-)
| h
| 100
|
| 10
2
|
Deka- (????-)
| da
| 10
|
| 10
1
|
(no prefix)
|
| 1
|
| 10
0
|
Deci- (????-)
| d
| 0
| .1
| 10
-1
|
Centi- (?????-)
| c
| 0
| .01
| 10
-2
|
Milli- (??????-)
| m
| 0
| .001
| 10
-3
|
Micro- (??????-)
| \mu
| 0
| .000001
| 10
-6
|
Nano- (????-)
| n
| 0
| .000000001
| 10
-9
|
Pico- (????-)
| p
| 0
| .000000000001
| 10
-12
|
Femto- (???????-)
| f
| 0
| .000000000000001
| 10
-15
|
Atto- (?????-)
| a
| 0
| .000000000000000001
| 10
-18
|
- ? ????????? ????? ??? ??????? ??????????.
- 1 cm = 1 centimeter = 1e-2 = 1 × 10
-2
meter = 0.01 meter
- 1 kg = 1 kilogram = 1e3 = 1 × 10
3
gram = 1000 grams
- 1 μL= 1 microliter = 1e-6 = 1 × 10
-6
liter = 0.000001 liter
- 1 ns = 1 nanosecond = 1e-9 = 1 × 10
-9
second
- 1 kWh = 1 kilowatt-hour = 1e3 = 1 × 10
3
Watt-hours
- 1 Food calorie = 1 Cal = 1 kilocalorie = 1e3 = 1 × 10
3
calories (????? ????? ????? C ?? ????? ????? c ?? ???? ??????? ???? ??????????!
SI ?????? ???? ?????????
[
??????
]
- 1 Angstrom = 1 A = 1 × 10
-10
meter
- 1 electron volt = 1 eV = 1.602e-19 joules = 1.602 x 10
-19
joules
- ????????? ?????? ????? 1 MB = 1 Megabyte = 1 × 10
6
bytes ??? ????????????? ???????? ???? ??? ?????. ??????????? ??????????
- 1 kB = 1 kilobyte = 1024 bytes
- 1 MB = 1 Megabyte = 1024 x 1024 = 1,048,576 bytes
- ????? ??????? ???? ?????? ????? ???????, ?????? ????? ??????? ??? ????? ????? ?????? ???? ???? ???? ??? ???????. ??????? ?????? ? ?????? ??????????? ????? ????? ???????, ????? ????? ??????? ?????? ????????? ??????.