Misalai 4 na adadi da aka samo, girma na ƙasa da ƙasa da kuma dabarun raka'a
| Adadin da aka samo | Tsarin dabara | Menene babban adadin da ya ƙunshi? | Girman adadi da aka samo | Tsarin Ƙasashen Duniya na Raka'o'i Adadin da aka samo |
| Lusa | Tsawon x faɗi | Tsawon (2) | [L2] | m2 |
| Girman wani kuboid | Tsawon x faɗi x tsayi | Tsawon (3) | [L3] | m3 |
| Yawan yawa | Mass / Girma | Tsawo (1), tsayi (3) | [M] / [L]3] = [M][L-3] | Kg / m3 |
| Kecepatan | Nisa / lokaci | Tsawon (1), lokaci (1) | [L] / [T] = [L] [T]-1] | m / s |
| Hanzari | Sauri / lokaci | Tsawon (1), lokaci (2) | [H] [T]-1] / [T] = [L] [T]-2] | m / s2 |
| Gaya | Mass x hanzari | Tsawa (1), tsayi (1), lokaci (2) | [M][L][T]-2] | Kg m/s2 |
| Ƙoƙari | Matsar da ƙarfi x | Tsawa (1), tsayi (2), lokaci (2) | [M][L][T]-2][L] = [M][L2][T-2] | Kg m2/s2 |
Domin gano adadin adadi na asali, da farko ka samo dabarar adadi da aka samo.
Adadin da aka samo: Ƙarfi
Tsarin Ƙarfi
P=W/t
Bayani: P = iko, W = aiki, t = lokaci
Lokaci adadi ne na asali, yayin da W adadi ne da aka samo, don haka rage aikin har sai adadin asali kawai ya rage.
Tsarin Kasuwanci
W = Fs
Bayani: W = ƙoƙari, F = ƙarfi, s = matsuguni
Komawa shine adadin tsayi na asali, yayin da ƙarfi shine adadin da aka samo, don haka rage ƙarfin gaba har sai adadin asali kawai ya rage.
Tsarin ƙarfi
F = ma
Bayani: F = ƙarfi, m = taro, a = hanzari
Nauyi shine babban adadin tsayi, yayin da hanzari shine adadin da aka samo, don haka rage saurin har sai ƙaramin adadin ya rage.
Tsarin hanzari
a = v/t
Bayani: a = hanzari, v = gudu, t = lokaci
Lokaci adadi ne na asali, yayin da gudu adadi ne da aka samo, don haka rage saurin har sai adadin asali kawai ya rage.
Tsarin gudu
v = s / t
Bayani: v = gudu, s = motsawa, t = lokaci
Matsarwa shine babban adadin tsayi, lokaci shine babban adadin.
Tsarin Ƙarfi
Sake tsara dabarar wutar lantarki:
Bayani: m = taro, s = tsayi, t = lokaci
Babban adadin kuɗi
Ƙarfi ya ƙunshi adadi ɗaya na nauyi, adadi biyu na tsawon lokaci da kuma adadi uku na lokaci.
Girman Ƙarfin
Dangane da dabarar wutar lantarki wadda ta ƙunshi adadi na asali kawai a sama, girman wutar lantarki shine:
[M][L2] / [T3] = [M][L2][T3]
Sashen Wutar Lantarki na Duniya
Dangane da dabarar wutar lantarki da girman da ke sama, naúrar wutar lantarki ta duniya ita ce:
Mita kilogiram murabba'i a kowace daƙiƙa mai siffar kuburi (kg m)2/s3)
Tambayoyin adadi da aka samo
| Adadin da aka samo | Tsarin adadi da aka samo | Adadin da aka samo ya ƙunshi adadin asali nawa? | Girman adadi da aka samo | Tsarin ƙasa da ƙasa na raka'o'in da aka samo |
| Daya | Ƙoƙari / lokaci (W / t) | |||
| Makamashin motsi | ½ x taro x murabba'in gudu (½ mv)2) | |||
| Makamashi mai yuwuwa | Haɓaka nauyi x saboda nauyi x tsayi (mgh) | |||
| lokacinta | Saurin taro x (mv) | |||
| Imuls | Ƙarfin x lokaci (F t) | |||
| Torque | Ƙarfin motsi x (Fs) | |||
| Ƙarfin wutar lantarki | Matsakaicin nauyi x cajin 1 x caji 2 / murabba'in nisa (kqq / r)2) | |||
| Cajin wutar lantarki | Wutar lantarki x lokaci (It) | |||
| Lokacin inertia | Girma x radius murabba'i ( mr2) | |||
| Tekanan | Ƙarfi / yanki (F / A) | |||
| Kalori | Mass x takamaiman zafi x canjin zafin jiki (mc T) | |||
| Ƙarfin filin lantarki | Ƙarfin wutar lantarki / cajin wutar lantarki (F / q) |
1. Kula da waɗannan adadi!
Dangane da teburin da ke sama, adadin da aka samo tare da madaidaicin na'urarsa a cikin Tsarin Duniya shine…
A. (1), (2), da (3)
B. (2), (3) da (4)
C. (2), (4) da (5)
D. (3), (4) da (5)
Tattaunawa
Adadin jiki ya ƙunshi guda biyu, wato adadi na asali da adadi da aka samo.
Babban adadin kuɗi
Adadin asali adadi ne na zahiri waɗanda aka riga aka ƙayyade raka'o'insu. An nuna adadi 7 na asali da raka'o'in ƙasashen duniya a cikin teburin da ke ƙasa.
Adadin da aka samo
Adadin da aka samo su ne adadi na zahiri waɗanda aka samo daga adadin tushe. Baya ga adadin tushe bakwai da aka ambata a sama, ana kuma samo wasu adadi na zahiri. Adadin da aka samo a cikin tambayar da ke sama sune girma, gudu, da yawa.
Volume
Tsarin girma (misali girman cuboid) = tsayi x faɗi x tsayi
Tsawon shine ma'aunin tsayi na asali, faɗi shine ma'aunin tsayi na asali, kuma tsayi shine ma'aunin tsayi na asali. Duk da cewa suna amfani da kalmomi daban-daban, ana auna tsayi, faɗi, da tsayi ta amfani da kayan aikin aunawa iri ɗaya, wato tsayi. Tsawon, faɗi, da tsayi suma suna da ma'aunin ƙasa da ƙasa iri ɗaya, wato mita. Saboda haka, ma'aunin girma na ƙasa da ƙasa shine mita x mita x mita = mita mai siffar cubic, wanda aka taƙaita a matsayin m.3
Kecepatan
Tsarin gudu = motsi / lokaci
Komawa wuri adadi ne na tsawon lokaci, kuma lokaci adadi ne na lokaci. Naúrar komowa ta duniya ita ce mita, kuma naúrar lokaci ta duniya ita ce ta biyu. Saboda haka, naúrar komowa ta duniya ita ce mita/daƙiya, wacce aka taƙaita ta m/s.
Yawan yawa
Tsarin yawa = nauyi / girma
Nauyi babban adadi ne, kuma girma adadi ne da aka samo. Nauyin nauyi na duniya shine kilogiram, kuma naúrar girma ta duniya shine mita mai siffar cubic. Saboda haka, naúrar yawa ta duniya shine kilogiram/mita mai siffar cubic, wanda aka taƙaita a takaice kg/m2.3.
Amsar da ta dace ita ce C.
2. Duba teburin da ke ƙasa!
Dangane da teburin, adadin da aka haɗa a cikin rukunin adadi da aka samo tare da raka'a a cikin Tsarin Duniya (SI) shine...
A. (1), (2), da (3)
B. (1), (3), da (5)
C. (2), (4), da (5)
D. (3), (4), da (5)
Tattaunawa
Adadin asali ya haɗa da (1) nauyi da (3) tsayi. Adadin da aka samo ya haɗa da (2) yawan yawa, (4) yanki, (5) ƙarfin lantarki.
Yawan yawa
Nau'in yawa shine kilogram/mita mai siffar sukari, an taƙaita shi a matsayin kg/m3Duba bayanin a cikin tattaunawar tambaya mai lamba 1.
Lusa
Tsarin yanki (misali yankin murabba'i) = tsayi x faɗi.
Tsawon shine ma'aunin tsayi na asali kuma faɗi ma'aunin tsayi na asali. Ma'aunin tsayi na duniya shine mita kuma ma'aunin faɗi na duniya shine mita. Saboda haka, ma'aunin yanki na duniya shine mita x mita = murabba'i, an taƙaita shi m.2.
Ƙarfin wutar lantarki
Naúrar ƙasa da ƙasa ta bambancin ƙarfin lantarki ko ƙarfin lantarki ita ce Joule / Coulomb. Wani suna na naúrar ƙarfin lantarki ta ƙasa da ƙasa ita ce Volt.
Amsar da ta dace ita ce C.
3. Teburin da ke ƙasa ya ƙunshi adadi da yawa da raka'o'insu.
Rukunin adadi da aka samo tare da raka'o'insu a cikin Tsarin Duniya na daidai ana nuna su ta hanyar lambobi...
A. (1), (2), da (3)
B. (1), (3), da (4)
C. (2), (3), da (5)
D. (3), (4), da (5)
Tattaunawa
Babban adadi a cikin teburin shine (5) Ƙarfin haske. Adadin da aka samo a cikin teburin sune (1) girma, (2) yawa, (3) ƙarfi, da (4) gudu.
Volume
Naúrar girma ta duniya ita ce mita mai siffar cubic, wacce aka rage mata suna m3Duba bayanin a cikin tattaunawar tambaya mai lamba 1.
Yawan yawa
Nau'in yawan duniya shine kilogiram/mita mai siffar sukari, wanda aka rage tsawonsa a matsayin kg/m3. Gram/cm3 ba sashe na ƙasa da ƙasa ba ne. Duba bayanin a cikin tattaunawar tambaya mai lamba 1.
Gaya
Tsarin ƙarfi = yawan x hanzari. Yawan abu muhimmin adadi ne, kuma saurin abu adadi ne da aka samo. Naúrar nauyi ta duniya ita ce kilogiram, wacce aka rage girmanta kg, kuma naúrar hanzari ta duniya ita ce mita/daƙiƙa murabba'i, wacce aka rage girmanta m/s.2Don haka sashin ƙarfi na duniya shine kilogiram mita / daƙiƙa murabba'i, a takaice kg m/s2An ba wa wannan rukunin suna na musamman Newton, don girmama masanin kimiyyar lissafi Isaac Newton.
Kecepatan
Naúrar gudu ta duniya ita ce mita/daƙiƙa, wacce aka taƙaita ta m/s. Duba bayanin a cikin tattaunawar tambaya mai lamba 1.
Amsar da ta dace ita ce B.
4. Dangane da nazarin girma, adadin zahiri da ke ƙasa waɗanda ke da girma iri ɗaya sune…
- ƙoƙari da ƙarfi
- iko da matsin lamba
- ƙarfi da ƙarfin
- aiki da zafi
Tattaunawa
An san cewa:
Tsawon Girman ...
Girman Lokaci = T
Girman Nauyi = M
Amsa:
Girman Yanki = Tsawon Girman x Faɗi Girman = [L][L] = [L]2
Girman Sauri = Girman Gudun / Girman Lokaci = [L] / [T] = [L][T]-1
Girman Sauri = Girman Sauri / Girman Lokaci = [L][T]-1 / [T] = [L][T]-1[T]-1 = [L][T]-2
Girman Ƙarfi = Girman Mass x Girman Hanzari = [M][L][T]-2
Girman Aiki = Girman Ƙarfi x Girman Matsarwa = [M][L][T]-2 [L] = [M][L]2[T]-2
Girman Ƙarfi = Girman Ƙoƙari / Girman Lokaci = [M][L]2[T]-2 / [T] = [M][L]2[T]-2[T]-1 = [M][L]2[T]-3
Girman Matsi = Girman Ƙarfi / Girman Yanki = [M][L][T]-2 / [L]2 = [M][L][T]-2 [L]-2 = [M] [L]-1[T]-2
Girman Momentum = Girman Mass x Girman Sauri = [M][L][T]-1
Girman Zafi = Girman Makamashi = Girman Aiki = [M][L]2[T]-2
Amsar da ta dace ita ce D.
Catatan :
Zafi makamashi ne da ake canjawa saboda bambancin zafin jiki.
Aiki shine tsarin canja wurin makamashi ta hanyar motsin abubuwa.
Don haka girman zafi = girman kuzari = girman aiki.
