Umfutho we-angular - izinkinga nezixazululo

1. Into enomzuzu wokungagxili okungu ^- 2 kg m2 ijikeleza ku- 1 rad/s. Iyini i- angular momentum yale nto?

Kwaziwa:

Isikhathi sokungakhathali (I) = 2 kg m ²

Isivinini se-angular ( ω ) = 1 rad/s

Okufunwayo: Umfutho we-Angular (L)

Isixazululo:

Ifomula yomfutho we-angular:

L = I ω

L = umfutho we-angular (kg m ² /s), I = umzuzu we-inertia (kg m ² ), ω = isivinini se-angular (rad/s)

Umfutho we-angular:

L = I ω = (2)(1) = 2 kg m ² /s

[irp]

2. I-pulley yesilinda engu-2 kg ene-radius engu- 0.1 m ijikeleza ngesivinini esingaguquki esingu-2 rad/s. Iyini i-angular momentum ye-pulley?

Kwaziwa:

Isisindo se -pulley (m) = 2 kg g

Irediyasi ye-pulley (r) = 0.1 m

Isivinini se-angular (ω) = 2 r ad/s

Okufunwayo: Umfutho we-Angular

Isixazululo:

Ifomula yesikhathi sokungakhathali kwesilinda esiqinile:

I = 1/2 mr ²

I = umzuzu wokungabi namandla (kg m ² ), m = isisindo (kg), r = irediyasi (m)

Isikhathi sokungakhathali:

I = 1/2 (2)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Ijubane le-angular:

L = I ω = ( 0.01 )( 2 ) = 0.02 kg m ² /s

[irp]

3. Imbulunga efanayo engamakhilogremu ama-2 enerediyasi engu- 0.2 m ijikeleza ngama -rad angu-4/s. Iyini i-angular momentum yebhola.

Kwaziwa:

Isisindo sebhola (m) = 2 kg

Irediyasi yebhola (r) = 0.2 m

Isivinini se-angular (ω) = 4 ra d/s

Okufunwayo: Umfutho we-Angular

Isixazululo:

Ifomula yesikhathi se-inertia ye-uniform sphere:

I = (2/5) mr ²

I = umzuzu t we-inertia (kg m ² ), m = isisindo (kg), r = irediyasi (m)

Isikhathi sokungahlali kahle kwe-uniform sphere:

I = (2/5)(2)(0.2) ² = (4/5)(0.04) = 0.032 kg m ²

Umfutho we-angular we-sphere:

L = I ω = ( 0.032 )( 4 ) = 0.128 kg m ² /s

[irp]

4. Inhlayiya engu-1-kg ijikeleza ngesivinini esingaguquki se-angle esingu- 2 rad/s. Iyini ijubane le-angle uma i-radius yendilinga ingu-10 cm.

Kwaziwa:

Isisindo sento (m) = 1 kg g

Irediyasi yesiyingi (r) = 10 cm = 10/100 = 0.1 m

Ijubane le-angular (ω) = 2 rad/ s

Okufunwayo: Umfutho we-Angular

Isixazululo:

Ifomula yesikhathi sokungakhathali kwezinhlayiya:

I = mr ² = (1)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Umfutho we-angular:

L = I ω = (0.01)(2) = 0.02 kg m ² /s