Muenzaniso weKukurumidza kweCentripetal Mibvunzo

Mienzaniso 7 yemibvunzo yekumhanyisa pakati pepakati

1. Dombo rinosungirirwa patambo rozotenderedzwa rakatwasuka kusvika dombo ratenderera nekona ye360°.^o Sekondi imwe neimwe. Kana kureba kwetambo kuri masendimita makumi maviri, tarisa kukura kwekumhanya kwepakati pechinhu chacho!
Kukurukurirana
Zvinozivikanwa :
Kumhanya kwekona (ω) = 360^o/sekondi = kutenderera kamwe / sekondi = 6,28 radians/sekondi
Kureba kwetambo = radius (r) yenzira yakatenderera = 20 cm = 0,2 metres
Akabvunzwa : kukurumidza kwepakati (a_s)
Jawab :

2. Vhiri rine radius ye30 cm rinotenderera nekumhanya kwekona kwe180 rpm. Tsvaga kuti centripetal acceleration yepoindi iri pamucheto wevhiri iri kutenderera sei!
Kukurukurirana
Zvinozivikanwa :
Nharaunda (r) yevhiri = 30 cm = 0,3 metres
Kumhanya kweAngular (ω) = 180 revolutions / 60 seconds = 3 revolutions / second = (3)(6,28 radians) / second = 18,84 radians/second
Akabvunzwa : kukurumidza kwepakati (a_s) pa r = 0,3 mamita
Jawab :

3. Mutyairi wemotokari anotyaira mota achitenderedza semicircular bend ine radius yekukombama kwemamita makumi mashanu. Kana kumhanya kwemotokari kuri 72 km/awa, chii chinonzi centripetal acceleration yemotokari?
Kukurukurirana
Zvinozivikanwa :
Nharaunda (r) = mamita makumi mashanu
Kumhanya (v) = 72 km/awa = (72)(mamita 1000) / 3600 masekondi = 20 mamita/sekondi
Akabvunzwa : hukuru hwekumhanya kwepakati (a)_s)
Jawab :
Kukura kwekumhanya kwepakati pemotokari:
a_s =v² / r = 20² / 50 = 400 / 50 = 8 m/s²

4. Mota iri kufamba yakakombama ine kumhanyisa kwe radial kwe 10 m/s², uko uku ndiko kumhanyisa kwakanyanya pakati pemotokari uko mota inogona kuita pasina kutsvedza kubva panjanji. Kana kumhanya kwemotokari kuri 108 km/h, denderedzwa remugero wekona rakakombama rakaita sei kuti mota isatsvedze?
Kukurukurirana
Zvinozivikanwa :
Kukurumidza kwepakati pepakati (a)_s) = 10 m/s²
Kumhanya kwemotokari (v) = 108 km/awa = (108)(1000) / 3600 = 30 metres/sekondi
Akabvunzwa nharaunda (r)
Jawab :
Nharaunda yekukombama kwemupendero:
r= v² / ivo_s
r = 30² / 10 = 900 / 10 = 90 mamita

5. Mibvunzo yebvunzo yenyika ya2003/2004

Girafu inoratidza hukama huripo pakati pekumhanya kwepakati (a _s ) uye kumhanya kwemutsetse (v) mukufamba kwakatenderera kwakafanana...

Kukurukurirana

Fomura yekumhanyisa kweCentripetal:

Tsananguro: a _s = kukurumidza kwepakati, v = kumhanya kwakatwasuka, r = daro kubva pa axis yekutenderera.

Tinoongorora hukama huripo pakati pekumhanya kwepakati (a _s ) uye kumhanya kwemutsara (v) kuitira kuti daro kubva pa axis yekutenderera (r) rive risingaperi. Ngatitii r = 1.

Kukosha kwe v kunowedzera zvakananga, kukosha kwe as kunowedzera nekukurumidza.

Mhinduro chaiyo ndiA.

6. Mibvunzo yeBvunzo yeNyika yeSMA/MA Physics U-ZC-2013/2014 Nhamba 4

Marble inotenderedzwa mundiro yakatenderera ine dhayamita ye 1 m. Kana marble ikatenderera kumucheto kwendiro nekumhanya kwakafanana kwe 50 rpm, saka kumhanya kwakanangana uye kukurumidza kwepakati pemarble ndizvo….

A. 50 ms ^-1 uye 2500 ms ^-2

B. 5π ms ^-1 uye 25π ² ms ^-2

C. 5π/3 ms ^-1 uye 25π ² /18 ms ^-2

D. 5π/6 ms ^-1 uye 25π ² /18 ms ^-2

E. 5π/12 ms ^-1 uye 25π ² /36 ms ^-2

Kukurukurirana

Zvinozivikanwa kuti:

Dhayamita yedenderedzwa (D) = mita imwe

Nharaunda yedenderedzwa (r) = 0,5 metres

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

1 revolution = 2π radians

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

Miniti imwe = masekondi makumi matanhatu

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

Mubvunzo: Kumhanya kwemutsetse (v) uye kukurumidza kwepakati (a _s )

Mhinduro:

Kumhanya kwemutsetse (v):

v = r ω = (0,5)(10π/6) = 5π/6 m/s

Kukurumidza kwepakati pepakati (a)_s):

a _s = v ² /r = (5π/6) ² : 0,5 = 25π ² /36 : 0,5 = (25π ² /36)(1/0,5)

a _s = (25π ² /18) m/s ²

Mhinduro chaiyo ndiD.

7. Mibvunzo yebvunzo dzenyika dze2007/2008 P4 Nhamba 6

Chinhu chinofamba nekumhanya kusingachinji v munzira yakatenderera ine radius R ine centripetal acceleration (a _s ). Kuti centripetal acceleration ive kaviri pane yekutanga, saka...

A. v inogadzirwa ka4 uye R inogadzirwa kaviri zvakare

B. v inogadzirwa kaviri uye R inogadzirwazve ka4

C. v inogadzirwa kaviri uye R inogadzirwa kaviri zvakare

D. v inosara uye R inopetwa kaviri zvakare

E. v yakapetwa kaviri zvakare uye R inoramba iripo

Kukurukurirana