Amandla e-kinetic ajikelezayo - izinkinga nezixazululo

1. Into inomzuzu wokungaqhubeki kahle ongu-1 kg m ² ijikeleza ngesivinini esingaguquki esingu- 2 rad/s. Iyini amandla e-kinetic ajikelezayo ento?

Kwaziwa:

Isikhathi sokungakhathali (I) = 1 kg m ²

Ijubane le -angular ( ω) = 2 rad/s

Okufunwayo: Amandla e-kinetic ajikelezayo (K E )

Isixazululo:

Ifomula yamandla e-kinetic ajikelezayo:

KE = 1/2 I ω ²

KE = amandla e-kinetic ajikelezayo (kg m²/s²), mina = umzuzu wokungakhathali (kg m²), ω = ijubane le-angular (i-rad/s)

Amandla e-kinetic ajikelezayo:

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

[irp]

2. I-pulley yesilinda engama-20 kg enobubanzi obungu-0.2 m ijikeleza ngesivinini esingaguquki esingu-4 rad/s. Iyini amandla e-kinetic ajikelezayo e-pulley?

Kwaziwa:

Isisindo se -pulley yesilinda (m) = 20 kg g

Irediyasi yesilinda (r) = 0.2 m

Ijubane le-angular (ω) = 4 ra d/s

Okufunwayo: Kuyini amandla e-kinetic ajikelezayo

Isixazululo;

Ifomula yesikhathi sokungabi namandla kwesilinda:

I = 1/2 mr ²

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

Isikhathi sokungabi namandla kwe-pulley yesilinda:

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

Amandla e-kinetic ajikelezayo e-pulley:

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

[irp]

3. Ibhola elingu -A- 10 kg elinobubanzi obungu -0.1 m lijikeleza ngokungaguquki okungu- 10 rad/s. Iyini amandla e-kinetic ebhola.

Kwaziwa:

Isisindo sebhola (m) = 10 kg

Irediyasi yebhola (r) = 0.1 m

Ijubane le-angular (ω) = 10 r ad/s

Okufunwayo: Amandla e-kinetic ajikelezayo

Isixazululo:

Ifomula yesikhathi sokungahlali kahle:

I = (2/5) mr ²

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

Isikhathi sokungakhathali kwebhola:

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

Amandla e-kinetic ajikelezayo ebhola:

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

[irp]

4. Inhlayiya engu-0.5- kg ijikeleza ngesivinini esingaguquki esingu- 2 rad/s. Iyini amandla e-kinetic ajikelezayo enhlayiya uma i-radius yendilinga ingu- 10 cm.

Kwaziwa:

Isisindo sezinhlayiya (m) = 0.5 kg g

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

Ijubane le-angular (ω) = 2 rad/ s

Okufunwayo: Amandla e-kinetic ajikelezayo

Isixazululo:

Isikhathi sokungahlali kahle kwezinhlayiya:

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

Amandla e-kinetic ajikelezayo:

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