Kukurumidza kweradiation - matambudziko nemhinduro

Kukurumidza kweradiation - matambudziko nemhinduro

1. Ndeipi girafu iri pazasi inoratidza hukama huripo pakati pekumhanya kwepakati penzira kana kukurumidza kwe radial (a R ) uye kumhanya kwemutsara (v) mukufamba kwakatenderera kwakafanana.

Kukurumidza kwe radial - matambudziko nemhinduro 1

Solution:

Kuenzanisa kwe radial acceleration:

Kukurumidza kwe radial - matambudziko nemhinduro 2

a R = kukurumidza kwe radial , v = kumhanya kwemutsara , r = daro kubva pa axis yekutenderera.

Tinoongorora hukama huripo pakati pe radial acceleration (a R ) ne linear velocity (v) kuitira kuti daro kubva pa axis yekutenderera (r) rive risingaperi. Semuenzaniso, r = 1.

Kukurumidza kwe radial - matambudziko nemhinduro 3

2. Bhora rinotenderera mumudziyo une dhayamita yemita imwe. Kana kumhanya kwekona kuri 50 rpm, chii chinonzi linear velocity uye radial acceleration yebhora?

Zvinozivikanwa:

Dhayamita yedenderedzwa (D) = 1 m

Nharaunda yedenderedzwa (r) = 0,5 m

Kumhanya kwekona (ω) = 50 rpm = 50 revolutions / 1 miniti

1 revolution = 2π radian

Kutenderera makumi mashanu = 50 (2π radians) = 100π radians

Miniti imwe = masekondi makumi matanhatu

Kumhanya kwekona (ω) = 100π radians / masekondi 60 = (10π/6) radians/sekondi

Zvinodiwa: Kumhanya kwemutsetse (v) uye kukurumidza kwe radial (a R )

Solution:

Kumhanya kwemutsetse (v):

v = r ω = (0.5)(10π/6) = 5π/6 m/s

Kukurumidza kwe radial (a R ):

a R = v 2 /r = (5π/6) 2 : 0.5 = 25π 2 /36 : 0.5 = (25π 2 /36)(1/0.5)

a R = (25π 2 /18) m/s 2

3. Chinhu chinofamba nekumhanya kwakasimba v mudenderedzwa rine radius yeR uye radial acceleration a R. Kana radial acceleration ikava kaviri, ipapo v inova .. nguva uye radius inova .. nguva.

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Solution:

Kuenzanisa kwe radial acceleration:

Matambudziko ekukurumidzira radial 4

Kana radial acceleration (a R ) = 1 saka linear speed (v) = 1 uye radius (r) = 1:

Matambudziko ekukurumidzira radial 5

Kana radial acceleration (a R ) = 2 saka linear speed (v) = 2 uye radius (r) = 2:

Matambudziko ekukurumidzira radial 6

Kana kumhanyisa kwe radial kukava kaviri, ipapo linear speed (v) inova kaviri uye radius yedenderedzwa inova kaviri.

  1. Mubvunzo: Chii chinonzi radial acceleration uye zvine chekuita sei nekufamba kwedenderedzwa? A: Kukurumidza kweRadial ndiko kuchinja kwekukurumidza kwetangential mukufamba kwedenderedzwa. Nguva dzose kunonangidzirwa pakati pedenderedzwa, uye hukuru hwaro hunoratidzwa ne ,/r kupi ndiyo kumhanya kwetangential, uye ndiyo radius yedenderedzwa.
  2. Mubvunzo: Sei kumhanyisa kwe radial kuchinziwo kumhanyisa kwe centripetal? A: Kukurumidza kwemagetsi kunonzi kukurumidza kwepakati nekuti izwi rekuti "centripetal" rinoreva "kutsvaga pakati." Kukurumidza uku kwakanangana nepakati penzira yakatenderera, zvichitsanangura rudzi rwesimba rinodiwa kuti chinhu chirambe chichifamba munzira iyoyo.
  3. Mubvunzo: Kukurumidza kwe radial kunochinja sei kana radius yedenderedzwa yakapetwa kaviri ukuwo kumhanya kwacho kuchiramba kuripo? A: Kana radius yakapetwa kaviri uye kumhanya kwacho kukaramba kuripo, kumhanyisa kwe radius kuchaderedzwa nehafu, sezvo kuchienderana ne radius.
  4. Mubvunzo: Kukurumidza kwe radial kunogona kuitika here mukufamba kwakatwasuka? Sei kana kuti sei kwete? A: Kwete, radial acceleration inoreva kukurumidza mukufamba kwedenderedzwa. Hazvishande pakufamba kwakatwasuka nekuti hapana shanduko inogara iripo munzira inoenda pakati penzvimbo yakatarwa.
  5. Q: Kana chinhu chakazorora munzira yakatenderera, chii chichava kukurumidza kwayo kwe radial? A: Kana chinhu chiri panze, kumhanya kwacho kwetangential izero, uye nekudaro, kukurumidza kwacho kweradial kuchavawo zero.
  6. Mubvunzo: Kukurumidza kwe radial (centripetal) kwakabatana sei nesimba re centrifugal? A: Kukurumidza kwepakati (centripetal acceleration) isimba rechokwadi rinoenda pakati penzira yakatenderera, nepo simba repakati (centrifugal force) isimba rekunyepedzera rinoita serinoshanda kunze kana richionekwa kubva pachimiro chinotenderera. Vakaenzana pahukuru asi vakapesana negwara.
  7. Mubvunzo: Chii chinoitika pakumhanya kwe radial kana kumhanya kwechinhu chiri kufamba munzira yakatenderera kwakapetwa kaviri? A: Kana kumhanya kwacho kwakapetwa kaviri, kukurumidza kwe radial kuchapetwa kane. Kukurumidza kwe radial kunoenderana ne sikweya ye velocity, saka kuwedzera kumhanya kwacho kaviri kunowedzera kukurumidza nekachina.
  8. Mubvunzo: Chii chinobatsira pakukweshana kwemotokari pakuita kuti mota ikwanise kukurumidza kufamba ne radial? A: Kukweshana pakati pematayi nemugwagwa kunoita kuti mota ikwanise kufamba nepakati pemugwagwa. Kana pasina kukweshana kwakakwana, mota haizokwanisi kuchinja divi rayo uye kuchengetedza nzira yakatenderera, asi yaizoramba yakatwasuka.
  9. Mubvunzo: Zvinokwanisika here kuti kumhanyisa kwe radial kuve negative? Sei kana kuti sei kwete? A: Kukurumidza kwe radial kunogara kwakananga pakati pedenderedzwa, saka kunotsanangurwa sekwakanaka munzira iyoyo. Hazvigone kuva negative sezvo nzira yekumhanyisa radial iri pakati pedenderedzwa.
  10. Mubvunzo: Simba rinokwevera pasi rinobatsira sei pakumhanya kwechiedza kana zvinhu zvekudenga zvakaita semapuraneti anotenderera zuva? Mhinduro: Kana mapuraneti achitenderera zuva, simba rinokwevera pasi riri pakati pemiviri miviri rinoshanda sesimba repakati, richipa kukurumidza kwechiedza kunodiwa kuti pasi rirambe riri mudenderedzwa (kana kuti rakaita sedenderedzwa). Simba rinokwevera pasi rinochengetedza pasi richifamba munzira yakatenderedza zuva, pane kufamba rakatwasuka.