Kukurumidza kweAngular uye kukurumidza kwakanangana - matambudziko nemhinduro

1. Vhiri re3 0 cm mu radius rinotenderera pa 5 rad/s ² . Chii chiri kukura kwekumhanya kwemutsara kwenzvimbo iri pa (a) 10 cm kubva pakati (b) 20 cm kubva pakati (c) pamucheto wevhiri?

Zvinozivikanwa:

Nharaunda (r) = 30 cm = 0.3 m

Kukurumidza kwekona ( α ) = 5 rad/s ²

Zvinodiwa: kumhanyisa kwakatwasuka (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m

Solution:

Hukama huripo pakati pekumhanyisa kwemutsara (a) uye kumhanyisa kwekona:

a = r α

(a) kumhanyisa kwakatwasuka, r = 0.1 m

a = (0.1 m)(5 rad/s ² ) = 0.5 m/s ²

(b) kumhanyisa kwakatwasuka, r = 0.2 m

a = (0.2 m)(5 rad/s ² ) = 1 m/s ²

(c) kumhanyisa kwakatwasuka, r = 0.3 m

a = (0.3 m)(5 rad/s ² ) = 1.5 m/s ²

2. Pulley ine 50 cm mu radius. Kana kumhanyisa kwemutsara kwenzvimbo iri pamucheto wepulley kuri 2 m/s ² , tsvaga kumhanyisa kwekona kwepulley!

Zvinozivikanwa:

Nharaunda (r) = 50 cm = 0,5 m

kumhanya kwakatwasuka (a) = 2 m/s ²

Zvinodiwa: kukurumidza kwekona

Solution:

α = a / r = 2 / 0.5 = 4 rad/s ²

3. Mapadza ari mublender ane 20 cm mu radius, pakutanga ari pakuzorora. Mushure memasekonzi maviri, mapadza anotenderera 10 rad/s. Sarudza hukuru hwekumhanya kwakatwasuka (a) poindi iri pa10 cm kubva pakati (b) poindi iri pamucheto wemapadza.

Zvinozivikanwa:

Nharaunda (r) = 20 cm = 0.2 m

_{Kumhanya kwekutanga kwekona} ( ωo ) = 0

Kumhanya kwekupedzisira kwekona ( ωt ₎ = 10 radians/ _sekondi

Nguva yepakati (t) = masekondi gumi nemashanu

Zvinodiwa: kumhanyisa kwakanangana kwenzvimbo iri pa (a) r = 0.1 m (b) r = 0.2 m

Solution:

ω _t = ω _o + α t

10 = 0 + α (2)

10 = 2 α

α = 10 / 2

 α = 5 rad/s

(a) kumhanyisa kwakanangana kwe r = 0.1 m

a = r α = (0.1 m)(5 rad/s ² ) = 0.5 m/s ²

(b) kumhanyisa kwakanangana kwe r = 0.2 m

a = r α = (0.2 m)(5 rad/s ² ) = 1 m/s ²

4. Vhiri re 20 cm mu radius rinokurumidziswa kwemasekonzi maviri kubva pa 20 rad/s kusvika razorora. Sarudza hukuru hwekukurumidzisa kwakanangana (a) poindi iri pa 10 cm kubva pakati (b) poindi iri pa 10 cm kubva pakati.

Zvinozivikanwa:

Nharaunda (r) = 20 cm = 0.2 m

Kumhanya kwekutanga kwekona ( ω _o ) = 20 rad/s

_{Kumhanya kwekupedzisira kwekona} ( ωt ) = 0

Nguva yepakati (t) = masekondi gumi nemashanu

Zvinodiwa: Kukurumidza kwakatwasuka (a) r = 0.1 m (b) r = 0.2 m

Solution:

ω _t = ω _o + α t

0 = 20 + α (2)

-20 = 2 α

α = -20 / 2

 α = -10 rad/s

Chiratidzo chekusaratidza kuti kumhanya kwekona kuri kudzikira.

(a) kumhanyisa kwakanangana kwe r = 0.1 m

a = r α = (0.1 m)(-10 rad/s ² ) = -1 m/s ²

(b) kumhanyisa kwakanangana kwe r = 0.2 m

a = r α = (0.2 m)(-10 rad/s ² ) = -2 m/s ²

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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