Simba reKinetic rinotenderera - matambudziko nemhinduro

1. Chinhu chine nguva ye inertia ye 1 kg m² inotenderera nekumhanya kwekona kunogara kuripo kwe 2 rad/s. Chii simba rekufamba kwekinetic yechinhu chacho?

Zvinozivikanwa:

Nguva yekusagadzikana (I) = 1 kg m²

The angular velocity (ω) = 2 rad/s

Kuda: Simba rekinetic rinotenderera (KE)

Solution:

Fomura yesimba rinotenderera rekinetic:

KE = 1/2 I ω²

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

Simba rekinetic rinotenderera:

KE = 1/2 I ω² = 1/2 (1)(2)² = 1/2 (1)(4) = 2 Joule

2. A 20-kg chipuri chesirinda ine radius ye 0.2 m inotenderera nekumhanya kwakasimba kwe 4 rad/s. Chii chinonzi rotational kinetic energy yepulley?

Zvinozivikanwa:

Misa yepulley yesilinda (m) = 20 kg

Nharaunda yesirindi (r) = 0.2 m

Kumhanya kwekona (ω) = 4 rad/s

Zvaidiwa: Chii chinonzi simba rekinetic rinotenderera

Mhinduro;

Fomura yenguva yekusagadzikana kwe cylinder:

I = 1/2 mr²

I = nguva yekusaita basa (kg m²), m = huremu (kg), r = radius (mita)

Nguva yekusashanda kwepulley yesilinda:

Ini = 1/2 (20)(0.2)² = (10)(0.04) = 0.4 kg m²

Simba rekutenderera kwepulley:

KE = 1/2 I ω² = 1/2 (0.4)(4)² = (0.2)(16) = 3.2 Joule

3. A-10 makirogiramu bhora rine nharaunda ye 0.1 M inotenderera nechiyero chisingachinji che 10 rad/s. Chii chinonzi kinetic energy yebhora?

Zvinozivikanwa:

Misa yebhora (m) = 10 kg

Nharaunda yebhora (r) = 0.1 m

Angular velocity (ω) = 10 rad/s

Zvaidiwa: Simba rekinetic rinotenderera

Solution:

Fomura yenguva yekusagadzikana:

I = (2/5) Va.²

I = nguva ye inertia (kg m²), m = huremu (kg), r = radius (m)

Nguva yekusaita basa kwebhora:

Ini = (2/5)(10)(0.1)² = (4)(0.01) = 0.04 kg m²

Simba rekufamba kwebhora:

KE = 1/2 I ω² = 1/2 (0.04)(10)² = (0.02)(100) = 2 Joule

4. A 0.5-makirogiramu ezvikamu zvinotenderera nekumhanya kwakafanana kwe 2 rad/s. Chii chinonzi rotational kinetic energy yechinhu ichi kana radius yedenderedzwa iri? 10 cm.

Zvinozivikanwa:

Misa chezvimedu (m) = 0.5 kg

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

Kumhanya kwekona (ω) = 2 rad/s

Zvaidiwa: Simba rekinetic rinotenderera

Solution:

Nguva yekusashanda zvakanaka kwezvikamu:

I = Va.² = (0.5)(0.1)² = (0.5)(0.01) = 0.005 kg m²

Simba rekinetic rinotenderera:

KE = 1/2 I ω² = 1/2 (0.005)(2)² = 1/2 (0.005)(4) = (0.005)(2) = 0.01 Joule