3 Nā pilikia a me nā hoʻonā e pili ana i ka hoʻohālikelike Moment of inertia
1. He 8 kenimika ka radius o kahi cylinder paʻa a he 2 kg ke kaumaha. I kēia manawa, he 5 kenimika ka radius o kahi pōpō paʻa a he 4 kg ke kaumaha. Inā e wili nā mea ʻelua me kahi axis ma o ko lākou kikowaena, e hoʻoholo i ka lakio o ka manawa o ka inertia o ka cylinder a me ka pōpō.
ʻIke ʻia:
Ka laulā o ke kinikini paʻa (r) = 8 kenimika = 0.08 m
Ka nuipaʻa o ka paukū paʻa (m) = 2 kg
Ka laulā o ka pōpō paʻa (r) = 5 kenimika = 0.05 m
ʻO ke kaumaha o ka pōpō paʻa (m) = 4 kg
Makemake ʻia: Hoʻohālikelike i ka manawa o ka inertia o kahi cylinder a me kahi pōpō
Hoʻonā :
ʻO ke ʻano hana no ka manawa o ka inertia o kahi cylinder paʻa:
I = ½ MR 2 = ½ (2)(0,08) 2 = 0,0064
ʻO ke ʻano hana no ka manawa o ka inertia o kahi pōpō paʻa:
I = 2/5 MR 2 = 1/5 (4)(0,05) 2 = (0,8)(0,0025) = 0,002
Hoʻohālikelike ʻia ka manawa o ka inertia o ka cylinder a me ka pōpō:
0,0064: 0,002
3,2: 1
2. Ua hoʻohana ʻia ka pahu i waiho ʻia ai nā biscuits ma ke ʻano he mea pāʻani. ʻO ke kaumaha o ka pahu he 200 grams a ʻo ka radius he 15 cm. Ua ʻōwili ʻia ka pahu ma luna o kahi papahele pālahalaha. Inā hoʻowahāwahā ʻia ke poʻi a me ka lalo o ka pahu, e hoʻoholo i ka manawa o ka inertia o ka pahu.
ʻIke ʻia:
Ua like ke kini me kahi paukū ʻōpuʻu hakahaka.
Nuipaʻa (m) = 200 grams = 0.2 kg
Radius (r) = 15 kenimika = 0.15 m
Makemake:
pāʻoihana:
ʻO ke ʻano hana no ka manawa o ka inertia o kahi cylinder hakahaka ma o ke axis:
ʻO I = MR 2 = (0,2)(0,15) 2 = (0,2)(0,0225) = 0,0045 kg m 2
3. ʻO kahi diski i hiki ke hoʻohuli manuahi a puni kahi axis kū pololei e hiki ke hoʻohuli i ka wikiwiki o 80 mau hoʻololi i kēlā me kēia minuke. Inā hoʻopili ʻia kahi mea liʻiliʻi me ka nui o 4 x 10-2 kg i kahi diski 5 cm mai ke axis, ʻike ʻia he 60 mau hoʻololi i kēlā me kēia minuke ka hoʻohuli ʻana, a laila e hoʻoholo i ka manawa o ka inertia o ka diski.
ʻIke ʻia:
Ka wikiwiki kihi mua (ω o ) = 80 puts / 60 s = 4/3 puts/s
Ka manawa mua o ka inertia (I₂o ) = I
Ka wikiwiki kihi hope loa (ωt ) = 60 put / 60 s = 1 put/s
Ka manawa hope loa o ka inertia (I t ) = I + mr 2 = I + (0.04)(0.05) 2 = I + (0.04)(0.0025) = I + 0.0425
Makemake ʻia: ka manawa o ka inertia o ka Disc
pāʻoihana:
Ke kānāwai o ka mālama ʻana i ka momentum angular
ʻO wau ω o = ʻO wau ω t
ʻO wau (4/3) = ʻO wau + (0,0425 (1))
4 I / 3 = I + 0,0425
4 I = 3 I + 0,1275
4 I – 3 I = 0,1275
ʻO I = 0,1275 kg m²
