Kumhanya kweAngular uye kumhanya kwemutsetse - matambudziko nemhinduro

1. Bhora riri kumagumo kwetambo riri kutenderera zvakaenzana mudenderedzwa rakatwasuka reradius 2 metres ne angle speed 10 rad/s. Sarudza hukuru hwe linear velocity yenzvimbo iri :

(a) 0.5 metres kubva pakati

(b) mita imwe kubva pakati

(c) mamita maviri kubva pakati

Zvinozivikanwa:

nharaunda (r) = 0.5 mitas, mita imwe, mamita matatu

Kumhanya kwekona = 10 radians/semamiriro

Zvaidiwa: The kumhanya kwakatwasuka

Solution:

v = r ω

v= kumhanya kwakanangana, r = radius, ω = kumhanya kwekona

(A) Kumhanya kwemutsetse (v) kwenzvimbo iri pa r = 0.5 metres

v = r ω = (Mamita 0.5s)(10 rad/s) = mamita mashanus/semamiriro

(B) Kumhanya kwakanangana (v) yenzvimbo iri pa r = mita imwe

v = r ω = (mita imwe)(10 rad/s) = mamita gumis/semamiriro

(C) Kumhanya kwakanangana (v) yenzvimbo iri pa r = mita imwes

v = r ω = (Mamita 2s)(10 rad/s) = mamita mashanus/semamiriro

2. Mapazi ari mublender anotenderera ne5000 rpm. Sarudza hukuru hwemutsara wekukurumidza:

(A) nzvimbo iri 5 cm kubva pakati

(B) nzvimbo iri 10 cm kubva pakati

Zvinozivikanwa:

nharaunda (r) = 5 cm uye 10 masendimita

Kumhanya kwekona (ω) = 5000 kumukira / masekondi makumi matanhatueconds = 83.3 kumukira / semamiriro = (83.3)(6.28 radians) / semamiriro = 523.3 radians / semamiriro

Zvaidiwa: Hukuru hwekumhanya kwakanangana

Solution:

(A) Ukuru hwekumhanya kwemutsara wepoindi iri 0.05 m kubva pakati

v = r ω = (0.05 m)(523.3 rad/s) = 26 m/s

(B) Ukuru hwekumhanya kwemutsara wepoindi iri 0,1 m kubva pakati

v = r ω = (0.1 m)(523.3 rad/s) = 52 m/s

3. Poindi iri pamucheto wevhiri 30 masendimita muredhiyo, kutenderera denderedzwa nekumhanya kwakasimba Mamita gumi/sekondi.

Chii chinonzi angular velocity?

Zvinozivikanwa:

Nharaunda (r) = 30 cm = 0.3 mamitas

Kumhanya kwakanangana (v) = mamita gumis/semamiriro

Zvaidiwa: kumhanya kwekona

Solution:

ω = v / r = 10 / 0.3 = 33 radianss/semamiriro

4. Mota ine matayi ane dhayamita ye50 cm mufambols 10 metres mu 1 Chepiri. Chii chinonzi kona yekumhanya?

Zvinozivikanwa:

nharaunda (r) = mamita 0.25

Kumhanya kwakanangana kwe nzvimbo iri pamucheto wevhiri (v) = mamita gumis/semamiriro

Kuda: Kumhanya kwekona

Solution:

ω = v / r = 10 / 0.25 = 40 radianss/semamiriro

5. Kumhanya kwevhiri re20 cm muma radians kuri 120 rpm. Chii chinonzi mufambo kana mota ikafamba mumasekonzi gumi.

Zvinozivikanwa:

nharaunda (r) = 20 cm = 0.2 mamitas

Kumhanya kwekona = 120 rev / 60 semamiriro ezvinhu = 2 rev / semamiriro = (2)(6.28) radians / semamiriro = 12.56 radians / semamiriro

Zvaidiwa: mufambo

Solution:

Velocity yemucheto wevhiri:

v = r ω = (0.2 mamitas)(12.56 radians/semamiriro) = 2.5 mamitas/semamiriro

2.5 mamitas / second zvinoreva nzvimbo iri pamucheto wekufamba nevhiri 2.5 mamitas sekondi imwe neimwe. pashure 10mamiriro ezvinhu, pfungwa yacho inofamba 25 mamitas.

Saka chinhambwe chacho 25 mamitas.

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1. Kuchinja mayuniti emakona emuenzaniso matambudziko nemhinduro
2. Matambudziko emuenzaniso wekutama kweAngular uye linear displacement uye mhinduro
3. Matambudziko emuenzaniso wekumhanya kweAngular uye kumhanya kwemutsara ane mhinduro
4. Matambudziko emuenzaniso wekumhanyisa kweAngular uye wekumhanyisa mutsara ane mhinduro
5. Muenzaniso wematambudziko ekufamba kwakatenderera kwakafanana nemhinduro
6. Matambudziko emuenzaniso wekumhanyisa kweCentripetal nemhinduro
7. Matambudziko emhando dzakasiyana dzemafambiro edenderedzwa ane mhinduro dzakasiyana