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 metres s, 1 mita, 3 metres

Kumhanya kwekona = 10 radians s /se cond

Zvinodiwa: Kumhanya kwakatwasuka

Solution:

v = r ω

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

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

v = r ω = (0.5 mamita s )(10 rad/s) = 5 mamita s /se cond

(b) Kumhanya kwakanangana (v) kwenzvimbo iri pa r = mita imwe

v = r ω = (mita 1)(10 rad/s) = mamita 10 s /se cond

(c) Kumhanya kwakanangana (v) kwenzvimbo iri pa r = 2 metres s

v = r ω = (2 mamita s )(10 rad/s) = 20 mamita s /se cond

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 cm

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

Zvinodiwa: Hukuru hwekumhanya kwemutsara

Solution:

(a) Hukuru hwekumhanya kwemutsara wepoindi iri 0.05 m kubva pakati

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

(b) Hukuru hwekumhanya kwemutsara wepoindi iri 0,1 m kubva pakati

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

3. Nzvimbo iri pamucheto wevhiri ine 30 cm mu radius, yakatenderedza denderedzwa nekumhanya kwakafanana kwemamita gumi pasekondi.

Chii chinonzi angular velocity?

Zvinozivikanwa:

Nharaunda ( r) = 30 cm = 0.3 mamita s

Kumhanya kwemutsetse (v) = 10 metres s /se cond

Zvinodiwa: kumhanya kwekona

Solution:

ω = v / r = 10 / 0.3 = 33 radians s /se cond

4. Mota ine matayi ane dhayamita ye50 cm inofamba mamita gumi musekondi imwe chete . Chii chinonzi angler speed?

Zvinozivikanwa:

Nharaunda (r) = 0.25 mamita

Kumhanya kwakanangana kwepoindi iri pamucheto wematayi (v) = 10 metres s /se cond

Kudiwa: Kumhanya kwekona

Solution:

ω = v / r = 10 / 0.25 = 40 radians s /se cond

5. Kumhanya kwevhiri re20 cm muma radians i120 rpm. Ndeipi daro kana mota ichifamba mumasekonzi gumi.

Zvinozivikanwa:

Nharaunda (r) = 20 cm = 0.2 mita s

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

Zvinodiwa: kure

Solution:

Kumhanya kwemucheto wevhiri:

v = r ω = (0.2 mita s )(12.56 radians s /se cond ) = 2.5 mamita s /se cond

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 daro racho i25 metres s.

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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