Muenzaniso wemubvunzo pamusoro pekuchinja kwakafanana kwekufamba kwedenderedzwa

Mienzaniso 7 yekufamba kwedenderedzwa kunochinja zvakafanana

1. Propeller inotanga yakamira, inotenderera nekumhanya kwe angled kwe 2 rad/s.2. Tsvaga kumhanyisa kwekona uye kumhanya kwekona kwepropeller mushure memasekonzi maviri. Zviratidze nemaradians nemasekonzi.
Kukurukurirana
Zvinozivikanwa :
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 1Akabvunzwa : kumhanyisa kwekona uye kumhanya kwekona mushure memasekonzi maviri
Jawab :
(A) Kukurumidza kweAngular mushure memasekonzi maviri
Kukurumidza kwekona kunoramba kuripo saka mushure memasekonzi maviri, kukurumidza kwekona kunoramba kuri 2 rad/s2.
(B) Kumhanya kwekona mushure memasekonzi maviri
Kukurumidza kwekona 2 rad/s2 = 2 radians/sekondi pasekondi zvinoreva kuti angular velocity inowedzera ne2 radians/sekondi pasekondi imwe chete. Mushure mesekondi imwe chete, angular velocity inova 2 radians/sekondi. Mushure memasekondi maviri, angular velocity inova 4 radians/sekondi.

2. Vhiri rinotanga ramira rinomhanyisa zvakafanana. Mushure memasekonzi gumi, vhiri rinotenderera nekumhanya kwe60 rpm. Sarudza kumhanyisa kwevhiri!
Kukurukurirana
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 2Jawab :
Fomura yekufamba kwedenderedzwa kwakakasira (GMBB) yakafanana nefomura yekufamba kwedenderedzwa kwakakasira (GLBB).
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 3

Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 4

Kukurumidza kwevhiri kwekona ndeye 0,628 rad/s 2

3. Kumhanya kwekona kwesirinda kunoshanduka zvakafanana kubva pa20 rad/s kusvika pa10 rad/s mumasekonzi mana. Tsvaga kumhanyisa kona kwesirinda!
Kukurukurirana
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 5Jawab :
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 6Kukurumidza kwe silinda kwekona ndeye -2,5 rad/s2Chiratidzo chekusashanda zvakanaka = kukurumidza kana kudzikira kwesimba. Kana mukumhanya, kumhanya kwekona kuchiwedzera, saka mukumhanya, kumhanya kwekona kunoderera.

4. Chinhu chinotanga kutenderera nekumhanya kwe angle kwe 10 rad/s chinowana kumhanyisa kwe angle kwe 2 rad/s nguva dzose.2Sarudza kona yakakomberedza chinhu mushure memasekonzi maviri!
Kukurukurirana
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 75. Vhiri remotokari rinotanga kutenderera nekumhanya kwe angle ye 20 rad/s rinomira kutenderera mushure mekufamba ne angle ye 20 radians. Kumhanya kwe angle yevhiri ndiko…
Kukurukurirana
Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 8Jawab :
Mubvunzo uyu unogadziriswa uchishandisa fomura 3.

Muenzaniso wekufamba kwedenderedzwa kwakakurumidza zvakafanana 9

6. Mibvunzo yebvunzo dzenyika dze1999/2000 P4 Nhamba 26

Chimuti chePQ chakareba masendimita makumi matanhatu (60 cm) chinotenderedzwa netip Q se axis uye PQ se radius yekutenderera. Chimuti chePQ chinotenderera kubva pakuzorora ne angular acceleration ye 0,3 rad s -2 . Kana nzvimbo yekutanga ye angular = 0, saka linear velocity (v) yetip P pa t = 10 seconds iri...

A. 1,8 ms -1

B. 3 ms -1

C. 5 ms -1

D. 30 ms -1

E. 180 ms -1

Kukurukurirana

Zvinozivikanwa kuti:

Kureba kwetsvimbo PQ = radius yedenderedzwa (r) = 60 cm = 60/100 m = 0,60 metres

Kumhanya kwekutanga kwekona (ω o ) = 0 rad/s

Kukurumidza kwekona (α) = 0,3 rad s -2

Nzvimbo yekutanga yekona (θ o ) = 0

Mubvunzo: Kumhanya kwemutsetse (v) kwekuguma P panguva t = masekondi gumi

Mhinduro:

Kutanga verenga kumhanya kwekona kwetsvimbo panguva t masekondi gumi.

Fomura yeKufamba Kwedenderedzwa Kwakakurumidziswa Zvakafanana:

ω t = ω o + α t = 0 rad/s + (0,3 rad s -2 )(10 sec) = 3 rad s -1

Kumhanya kwekona pa t = masekondi gumi i3 radians/sekondi.

Mwero wekufamba kwemutsara pa t = masekondi gumi unoverengerwa uchishandisa fomura yehukama huripo pakati pemwero wekufamba (v), mwero wekona (ω) uye radius (r).

v = r ω = (0,6 metres)(3 radians/sekondi) = 1,8 metres/sekondi.

Mhinduro chaiyo ndiA.

7. Mibvunzo yebvunzo yenyika ya2002/2003

Chinhu chinofamba mudenderedzwa chine kumhanya kwekutanga kwe4 rad/s uye chinoona kumhanyisa kwekona kwe0,5 rad/s 2 , ipapo kumhanya kwechinhu musekondi yechina ndiko...

A. 4,0 rad/s

B. 4,5 rad/s

C. 5,0 rad/s

D. 6,0 rad/s

E. 8,0 rad/s

Kukurukurirana

Zvinozivikanwa kuti:

Kumhanya kwekutanga kwekona (ω o ) = 4 radians/sekondi

Kukurumidza kwekona (α) = 0,5 rad/s 2

Nguva yepakati (t) = masekondi maviri

Mubvunzo: Kumhanya kwechinhu musekondi yechina (ω t )

Mhinduro:

Fomura yekuchinja kwakafanana kwekufamba kwedenderedzwa:

ω t = ω o + α t

ω t = 4 + (0,5)(4)

ω t = 4 + 2

ω t = 6 radians/sekondi

Mhinduro chaiyo ndiD.

Siya mhinduro