Ikehu kinetic i ka neʻe ʻana o ka wili

Mea Ikehu Kinetic i ka Neʻe Rotational

Loaʻa i nā mea e neʻe ana ma kahi laina pololei ikehu kinetic hiki ke helu ʻia me ka hoʻohana ʻana i ke ʻano hana:
EK = ½ mv²
ʻIkepili:
EK = ikehu kinetic (ʻo nā anakahi honua he kg m²/s² a i ʻole Joule)
m = ka nuipa (ʻo ke anawaena honua he kilokani, i hoʻopōkole ʻia kg)
v = ka wikiwiki (ʻo ke anawaena honua he mika/kekona, i hoʻopōkole ʻia m/s)
Ua like ka nui kino i ka neʻe ʻana o ka wili me nuipa (m) ma neʻe pololei is manawa o ka inertia (I)Ua like ka nui kino i ka neʻe ʻana o ka wili me wikiwiki (v) i ka neʻe ʻana o ka wili ʻana ka wikiwiki kihiNo laila, he ikehu kinetic ko kahi mea e wili ana e hiki ke helu ʻia me ka hoʻohana ʻana i ke ʻano hana:

Laʻana pilikia
1. He 2 kg m ka manawa o ka inertia o kahi ʻāpana² hoʻohuli me ka wikiwiki angular o 10 rad/s. E hoʻoholo i ka ikehu kinetic o ka ʻāpana!
Pahana

2. He 2 mika ka mamao o kahi ʻāpana me ke kaumaha o 1 kg mai ke axis o ka wili ʻana, e wili ana ma ka wikiwiki angular o 4 rad/s. E hoʻoholo i ka ikehu kinetic o ka ʻāpana!
Pahana
Ua ʻike ʻia :
Ka nuipaʻa o ka ʻāpana (m) = 1 kg
Ka mamao o ka ʻāpana i ke koʻokoʻo o ka wili (r) = 2 mika
Ka wikiwiki kihi o ka ʻāpana = 4 rad/s
Ua nīnau ʻia He aha ka ikehu kinetic (EK) o kahi ʻāpana i ka wā e wili ana?
Pane :

3. ʻO kahi cylinder paʻa (I = ½ m R ² ) me ka nuipa o 8 kg e ʻōwili ana me ka ʻole o ka paheʻe ma luna o kahi pālahalaha ma ka wikiwiki o 15 m/s. ʻO ka ikehu kinetic holoʻokoʻa o ka cylinder…

Pahana

Ua ʻike ʻia:

Ka manawa o ka inertia o kahi cylinder paʻa (I) = ½ MR ²

Ka nuipa o ka paukū paʻa (m) = 8 kg

Ka wikiwiki o ke kinikini (v) = 15 m/s

Nīnau ʻia: Ka ikehu kinetic holoʻokoʻa o ka cylinder

Pane:

Ikehu kinetic unuhi:

EK = ½ mv ² = ½ (8)(15 ² ) = (4)(225) = 900 Joule

Ikehu kinetic wili:

EK = ½ I ω² = ½ (½ m R²)(v/R)² = (¼ m R²)(ʻoiaʻiʻo²/R²) = ¼ mv² = ¼ (8)(15²) = (2)(225) = 450 Joule

Ka ikehu kinetic holoʻokoʻa:

900 Joule + 450 Joule = 1350 Joule