Simba reKinetic rinotenderera - matambudziko nemhinduro

1. Chinhu chine nguva yekusashanda kwesimba ye1 kg m ² chinotenderera nekumhanya kwakasimba kwe2 rad/s. Chii chinonzi rotational kinetic energy yechinhu chacho?

Zvinozivikanwa:

Nguva yekusaita basa (I) = 1 kg m ²

Kumhanya kwekona ( ω) = 2 rad/s

Zvinodiwa: Simba rekufamba kwemhepo (K E )

Solution:

Fomura yesimba rinotenderera rekinetic:

KE = 1/2 I ω ²

KE = simba rekinetic rinotenderera (kg m²/s²), ini = nguva yekusagadzikana (kg m²), ω = kumhanya kwekona (rad/s)

Simba rekinetic rinotenderera:

KE = 1/2 I ω ² = 1/2 (1) (2) ² = 1/2 (1) (4) = 2 Joules

2. Pulley ine huremu hwemakirogiramu makumi maviri ine radius ye 0.2 m inotenderera nekumhanya kwakafanana kwe 4 rad/s. Chii chinonzi rotational kinetic energy yepulley?

Zvinozivikanwa:

Huremu hwepureni yesirinda (m) = 20 kg g

Radiyo yesirinji (r) = 0.2 m

Kumhanya kwekona (ω) = 4 ra d/s

Zvinodiwa: Chii chinonzi simba rekinetic rinotenderera

Mhinduro;

Fomura yenguva yekusagadzikana kwe cylinder:

Ini = 1/2 mr ²

I = nguva yekusashanda ( kg m2 ⁾ , m = uremu (kg), r = dhayasi (mita)

Nguva yekusashanda kwepulley yesilinda:

I = 1/2 (20)(0.2) ² = (10)(0.04) = 0.4 kg m ²

Simba rekutenderera kwepulley:

KE = 1/2 I ω ² = 1/2 (0.4) (4) ² = (0.2) (16) = 3.2 Joules

3. Bhora reA- 10 kg rine radius ye 0.1 m rinotenderera pa constant ye 10 rad/s. Chii chinonzi kinetic energy yebhora?

Zvinozivikanwa:

Huremu hwebhora (m) = 10 kg

Nharaunda yebhora (r) = 0.1 m

Kumhanya kwekona (ω) = 10 r ad/s

Zvinodiwa: Simba rekufamba kwemhepo rinotenderera

Solution:

Fomura yenguva yekusagadzikana:

Ini = (2/5) mr ²

I = nguva yekusaita basa (kg m ² ), m = huremu (kg), r = radius (m)

Nguva yekusaita basa kwebhora:

I = (2/5)(10)(0.1) ² = (4)(0.01) = 0.04 kg m ²

Simba rekufamba kwebhora:

K E = 1/2 I ω ² = 1/2 (0.04) (10) ² = (0.02) (100) = 2 Joules

4. Chidimbu che 0.5- kg chinotenderera nekumhanya kwakafanana kwe 2 rad/s. Chii chinonzi rotational kinetic energy yechidimbu kana radius yedenderedzwa iri 10 cm?

Zvinozivikanwa:

Huremu hwechinhu (m) = 0.5 kg g

Radiyo yebhora (r) = 10 cm = 10/100 = 0.1 m

Kumhanya kwekona (ω) = 2 rad/ s

Zvinodiwa: Simba rekufamba kwemhepo rinotenderera

Solution:

Nguva yekusashanda zvakanaka kwezvikamu:

Ini = mr ² = (0.5)(0.1) ² = (0.5)(0.01) = 0.005 kg m ²

Simba rekinetic rinotenderera:

K E = 1/2 I ω ² = 1/2 (0.005) (2) ² = 1/2 (0.005) (4) = (0.005) (2) = 0.01 Joule