Makamashin motsi na juyawa - matsaloli da mafita

1. Abu yana da lokacin inertia na 1 kg m ² yana juyawa a daidai gudun kusurwa na 2 rad/s. Menene kuzarin motsi na abin?

An sani:

Lokacin inertia (I) = 1 kg m ²

Gudun kusurwa ( ω) = 2 rad/s

Ana so: Ƙarfin motsi na juyawa (K E )

Magani:

Tsarin makamashin motsi na juyawa:

KE = 1/2 I ω ²

KE = makamashin motsi na juyawa (kg m²/s²), Ina = lokacin inertia (kg m²), ω = saurin kusurwa (ra/s)

Makamashin motsi na juyawa:

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

[irp]

2. Pulley na silinda mai nauyin kilogiram 20 tare da radius na mita 0.2 yana juyawa a daidai lokacin da yake gudu na 4 rad/s. Menene kuzarin motsi na juyawa na pulley?

An sani:

Nauyin silinda mai kura (m) = 20 kg g

Radius na silinda (r) = 0.2 m

Gudun kusurwa (ω) = 4 ra d/s

Ana so: Menene makamashin motsi na juyawa

Mafita;

Tsarin lokacin inertia na silinda:

I = 1/2 mr ²

I = lokacin inertia ( kg m ² ), m = nauyi (kg), r = radius (mita)

Lokacin inertia na silinda pulley:

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

Ƙarfin motsi na juyawa na kura:

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

[irp]

3. A- ƙwallon kilogiram 10 mai radius na mita 0.1 yana juyawa a daidai gwargwado na 10 rad/s. Menene kuzarin motsi na ƙwallon.

An sani:

Nauyin ƙwallon (m) = 10 kg

Radius na ƙwallon (r) = 0.1 m

Gudun kusurwa (ω) = 10 r ad/s

Ana so: Ƙarfin motsi na juyawa

Magani:

Tsarin lokacin inertia:

I = (2/5) mr ²

I = lokacin inertia (kg m ² ), m = nauyi (kg), r = radius (m)

Lokacin rashin kuzari na ƙwallon:

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

Ƙarfin motsi na juyawa na ƙwallon:

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

[irp]

4. Ƙwayar ƙwaya mai nauyin kilogiram 0.5 tana juyawa a daidai gudun kusurwa na 2 rad/s. Menene kuzarin motsi na jujjuyawar ƙwayar idan radius na da'irar ya kai santimita 10.

An sani:

Nauyin barbashi (m) = 0.5 kg g

Radius na ƙwallon (r) = 10 cm = 10/100 = 0.1 m

Gudun kusurwa (ω) = 2 rad/ s

Ana so: Ƙarfin motsi na juyawa

Magani:

Lokacin inertia ga ƙwayoyin cuta:

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

Makamashin motsi na juyawa:

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