Nolosheennu maanta waxay noqotay mid fudud oo raaxo leh iyadoo ay jiraan baabuur taayir leh, qalab casri ah sida matoorro, mashiinno shiidi, marawaxadaha, makiinada cawska jaraya, makiinada ubaxa lagu buufiyo iwm. Gawaarida taayir leh sida baaskiiladaha, mootooyinka, baabuurta iyo diyaaradaha ma dhaqaaqi karaan haddii aysan lahayn taayirro ama haddii taayiradu aysan wareegayn. Diyaaradaha qumaatiga u kaca ama diyaaradaha qumaatiga ah sidoo kale ma duuli karaan haddii matoorradoodu aysan wareegayn. Maraakiibtu ma socon karaan haddii matoorradooda ama matoorradoodu aysan wareegayn. Habeenkii, gurigu wuxuu noqdaa mid madow oo ma jirto madadaalo haddii matoorku ama warshadda korontada aysan shaqayn. Walxo badan ayaa sameeya dhaqdhaqaaq wareeg ah maalin kasta. Xitaa iyada oo aan la ogaan, dhulka aan ku nool nahay, dayaxa na iftiimiya habeenkii, dayax-gacmeedyada macmalka ah sida dayax-gacmeedyada isgaarsiinta ee gudbiya hirarka elektromagnetic-ka ee telefishanka, raadiyaha, taleefanka gacanta, iyo baahinta internetka, waa kuwo had iyo jeer wareega, oo loo yaqaan inay ku socdaan goobo mar walba.
Shay waxaa la sheegaa inuu ku jiro dhaqdhaqaaq wareeg ah haddii waddadiisu ay tahay wareeg. Tirada jirka ee dhaqdhaqaaqa wareegsan waxay ka kooban tahay tirooyin xaglo ah (tirooyinka dhaqdhaqaaqa wareegsan) iyo tirooyin toosan (tirooyinka dhaqdhaqaaqa toosan). Tirada xaglo waxaa ka mid ah barakac xagal ah, xawaare xagal ah, iyo dardargelin xagal ah. Tirada toosan waa tirooyin sida dhaqdhaqaaqa toosan, oo ay ku jiraan barokaca (masaafada), xawaaraha (xawaaraha), iyo dardargelinta. Taas bedelkeeda, tirada dhaqdhaqaaqa wareegsan waxaa badanaa loogu yeeraa tirooyin xaglo ah . Dhaqdhaqaaqa wareegsan, tirada toosan waxay la xiriirtaa tirooyin xaglo ah.
Beddel cutubyada xagasha (darajo, gacan-qaad, kacaan)
1. ¼ wareeg = ….. o (shahaadooyin)?
Dood
1 wareeg = 360o
½ wareeg = 180o
¼ wareeg = 90o
2. ½ wareeg = …….. raadiyaan?
Dood
1 kacaan = 2 pi radians = 2(3,14) radians = 6,28 radians
½ wareeg = pi radians = 3,14 radians
3. 180o (180 darajo) = ….. wareeg ama kacaanka ?
Dood
360o = 1 wareeg (1) kacaanka)
180o = ½ wareeg (1/2) kacaanka)
4. 90o = ….. raadiyaan?
Dood
360o = 2 pi radians = 2(3,14) radians = 6,28 radians
180o = pi radians = 3,14 radians
90o = ½ pi radian = ½ (3,14) = 1,57
5. 60 gacan = ….. wareeg?
Dood
6,28 raadiyaanka = 1 kacaan
60 radiyaan/6,28 = 9,55 wareeg
6. 40 raadiyaanka = ….. o (shahaadooyin)?
Dood
6,28 gacan = 360o
40 gacan/6,28 = (6,37)(360)o= 2292,99o
Xawaaraha xagasha
Tusaalaha dhibaatooyinka.
1. Giraangiruhu wuxuu u wareegayaa dhanka saacadda, isagoo sameynaya xagal dhan 180o muddo 2 ilbiriqsi iyo 90 ilbiriqsi aho 1 ilbiriqsi. Go'aami baaxadda iyo jihada celceliska xawaaraha xagasha!
Dood
Weyn = 9o/ilbiriqsi = …. kacaan/ilbiriqsi = ….. radian/ilbiriqsi?
Jihada = jihada saacadda.
2. Giraangiruhu wuxuu u wareegayaa dhanka saacadda, isagoo sameynaya xagal dhan 360o 4 ilbiriqsi, ka dibna giraangiruhu wuxuu wareegayaa 180o 2 ilbiriqsi oo ka soo horjeeda saacadda. Immisa jeer ayay xawaaraha xagasha celceliska giraangiraha?
Dood
Weyn = 3o/ilbiriqsi = …. kacaan/ilbiriqsi = ….. radian/ilbiriqsi?
Jihada = jihada saacadda.
Xawaaraha Xaglaha Degdegga ah
Cabbirka xawaaraha xagasha degdega ah = baaxadda xawaaraha xagasha ee la safray muddo aad u gaaban.
Dhaqdhaqaaq toosan ama dhaqdhaqaaq toosan, xawaare sare waa la wici karaa xawaare karena barokac weyn qiimo la mid ah masaafada haddii ay aad u yar tahay. Dhaqdhaqaaq wareeg ah, xawaare weyn oo xagal ah waa la wici karaa xawaaraha xagal karena barokac weyn oo xagal ah qiimo la mid ah masaafada gees haddii ay aad u yar tahay.
Dardargelinta Xaglaha Celceliska ah
Tusaalaha dhibaatooyinka.
1. Dabaysha oo marka hore istaagta muddo yar ka dibna wareegta sababtoo ah dabayshu way afuuftaa. 2 ilbiriqsi ka dib, xawaaraha xagasha ayaa kordha ilaa 90°.o/ s. Immisa? celceliska xawaaraha xagasha warshadda dabaysha?
Dood
Celcelis ahaan, xawaare weyn oo xagal ah Warshadaha dabaysha ayaa kordhay 45o/s 1 ilbiriqsi kasta.
2. Bareelaha ayaa marka hore ku wareegaya xawaare xagal ah oo ah 180o/s, 2 ilbiriqsi ka dib way joogsanaysaa wareeggeeda. Imisa jeer ayay wareegtaa? celcelis ahaan hoos u dhac xagal ah warshadda dabaysha?
Dood
Celcelis ahaan, xawaare weyn oo xagal ah Warshadaha dabaysha ayaa hoos u dhacay 90o/s 1 ilbiriqsi kasta.
Dardargelinta Xaglaha Degdegga ah
Dardargelinta xagasha degdega ah waxaa badanaa loo soo gaabiyaa dardargelinta xagasha. Dardargelinta xagasha degdega ah waa isbeddelka xawaaraha xagasha muddo aad u gaaban. Xisaab ahaan:
Muddada iyo Soo Noqnoqoshada Dhaqdhaqaaqa Wareega
Xiligani wuxuu sheegayaa waqtiga loo baahan yahay in walax ay dhammaystirto hal wareeg, halka soo noqnoqoshaduna ay sheegayso tirada wareegyada ilbiriqsi kasta.
Xiriirka ka dhexeeya xilliga iyo soo noqnoqoshada waxaa lagu muujiyaa isla'egta:
f = 1/T
Cutubka caalamiga ah ee muddada waa kan labaad, cutubka nidaamka caalamiga ah ee soo noqnoqoshada waa 1/ilbiriqsi ama hertz.
Xawaaraha iyo Xawaaraha Xaglaha
Xawaaraha tangential iyo xawaaraha xagal ee walax ku socota goobaabin waxaa lagu muujin karaa iyadoo loo eegayo muddada iyo soo noqnoqoshada.
Baaxadda xawaaraha walaxda sameyneysa dhaqdhaqaaqa wareegga waxaa lagu muujiyaa isle'egta:
Cabbirka xawaaraha xagasha ee walax ku socota goobada waxaa lagu muujiyaa isle'egta:
Macluumaadka:
Tusaalaha dhibaatooyinka
1. Laba taayir A iyo B oo leh tirada ilkaha 20 iyo 50 siday u kala horreeyaan ayaa la dhigayaa si gear kasta loogu lamaaneeyo. Haddii taayir A uu wareego 50 jeer hal ilbiriqsi gudaheed, xawaaraha xagasha ee taayir B waa….
Dood
Waa la ogyahay:
Tirada ilkaha ku jira giraangiraha A = 20
Tirada ilkaha ku jira giraangiraha B = 50
Xawaaraha xagasha ee giraangiraha A ( ω A ) = 50 wareeg/ilbiriqsi
1 kacaan = 2π radian
(50)(2π radiyaan)/ilbiriqsi = 100π radiyaan/ilbiriqsi
Su'aal: Xawaaraha xagasha ee giraangiraha B ( ω B )
Jawaab:
Xawaaraha toosan ee giraangiraha A: v A = r A ω A
Xawaaraha toosan ee giraangiraha B: v B = r B ω B
Labada taayirba way isku xiran yihiin sidaa darteed xawaarahooda toosan waa isku mid.
v A = v B
r A ω A = r B ω B
(20) ( 100π rad/s) = (50) (ω B )
(2)(100π rad/s) = (5)(ω B )
(2)(20π rad/s) = ω B
ω B = 40π rad/s
2. Su'aalaha Imtixaanka Qaranka ee SMA/MA 2017
Fiiri sawirka soo socda.
Mooto ayaa ku socota qalooc leh xagal leexasho ah oo α ah (tan α = 2/5) oo u socota garabka wadada. Xawaaraha ugu badan ee looga hortagayo in mootadu simbiriirixato waa 20 ms -1 . Waa maxay gacanka qalooca?
A. 50 mitir
B. 100 mitir
C. 200 mitir
D. 250 mitir
E. 400 mitir
Dood
Waa la ogyahay in:
Xawaaraha ugu badan (v) = 20 m/s
α-tangent = 2/5
Isku-darka is-khilaafka taagan (μs ) = tangent α = 2/5
Su'aal: Radius-ka leexashada (r)
Jawaab:
Qaacidada dardargelinta bartamaha:
Macluumaadka:
a s = dardargelinta bartamaha, v = xawaaraha, r = gacanka qalooca
Xoogga kaliya ee ka dhasha ee ku shaqeeya gaariga marka uu rogmado waa is jiidjiid aan dhaqdhaqaaq lahayn. Qaacidada is jiidjiid aan dhaqdhaqaaq lahayn waa:
Macluumaadka:
f s = xoog is jiidis oo aan isbeddelin, μ s = isku-darka is jiidis aan isbeddelin, w = miisaan, m = cufnaan, g = dardargelin ay ugu wacan tahay cufisjiidadka
Qaaciddada sharciga labaad ee Newton ee dhaqdhaqaaqa wareegga:
Jawaabta saxda ah waa B.
3. Su'aalaha Imtixaanka Qaranka ee SMA/MA 2017
Afar taayir ayaa isku xiran sida hoos ku cad!
Gacanka RA = 6 cm, RB = 3 cm, RC = 2 cm iyo RD = 5 cm iyo giraangiraha A wuxuu ku wareegaa xawaare toosan oo ah 3 ms-1, markaa xawaaraha xagasha ee giraangiraha D waa…
Dood
Waa la ogyahay in:
R A = 6 cm = 0,06 m, R B = 3 cm = 0,03 m, R C = 2 cm = 0,02 m, R D = 5 cm = 0,05 m.
v A = 3 ms -1
Su'aal: xawaaraha xagal ee giraangiraha D ( ω D )
Jawaab:
Xawaaraha xagasha ee giraangiraha A:
v A = r A ω A
ω A = v A / r A = 3 / 0,06 = 50 rad/s
Taayirada A iyo B waxay ku wareegaan xawaare isku mid ah.
ω A = ω B = 50 rad/s
Xawaaraha xagasha ee giraangiraha B:
ω B = 50 rad/s
Xawaaraha toosan ee giraangiraha B:
v B = r B ω B
v B = (0,03)(50 rad/s)
v B = 1,5 m/s
Taayirada B iyo taayirada C waxay leeyihiin xawaare toosan oo isku mid ah.
v B = v C = 1,5 m/s
Taayirada C iyo taayirada D waxay leeyihiin xawaare toosan oo isku mid ah.
v C = v D = 1,5 m/s
Xawaaraha xagasha ee giraangiraha D:
ω D = v D / r D = 1,5 / 0,05 = 30 rad/s
