Nā dinamika rotational - nā pilikia a me nā hoʻonā

1. Hoʻopili ʻia kahi ikaika F i kahi kaula i wahī ʻia a puni kahi pulley cylinder. ikehu is 2 N m a me ke manawa o ka inertia is 1 kg m2, he aha ka hoʻolalelale kihi o ka cylinder.

Nā dinamika rotational - nā pilikia a me nā hoʻonā 1ʻIke ʻia:

ʻO ka ikehu (τ) = 2 N m

ʻO ka manawa o ka inertia (I) = 1 kg m2

Makemake: ʻO ka wikiwiki angular o ka cylinder

Lōlā:

Στ =I α

Στ = ka torque upena, I = ka manawa o ka inertia, α = ka wikiwiki kihi

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 1 = 2 rad/s2

ike no hoi  ʻO ke kahe uila - nā pilikia a me nā hoʻonā

2. Hoʻopili ʻia kahi ikaika F i kahi kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka nui o ka ikaika he 10 ʻO N, ʻo ke radius o ka cylinder he 0.2 m a ʻo ka manawa o ka inertia 1 kg m2, WʻO ka wikiwiki angular o ka cylinder anei?

Nā dinamika rotational - nā pilikia a me nā hoʻonā 2ʻIke ʻia:

Ikaika (F) = 10 N

Ka laulā o ka paukūʻolokaʻa (R) = 0.2 m

ʻO ka manawa o ka inertia (I) = 1 kg m2

Makemake: ʻO ka hoʻolalelale angular o ka cylinder.

Lōlā:

τ = FR

τ = torque, F = ikaika, R = radius o ka paukūʻolokaʻa

Torque:

τ = FR = (10 N)(0.2 m) = 2 N m

Στ =I α

Στ = ka torque upena, I = ka manawa o ka inertia, α = ka wikiwiki kihi

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 1 = 2 rad/s2

ike no hoi  Ke kānāwai o Gay-Lussac (ka leo mau) - nā pilikia a me nā hoʻonā

3. Hoʻopili ʻia kahi ikaika F i ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka nui o ka ikaika he 10 ʻO N, ʻo ke anawaena o ka cylinder he 0.2 m a ʻo ke kaumaha o ka cylinder he 20 kg m2,. WʻO ka wikiwiki angular o ka cylinder ka pāpale.

Nā dinamika rotational - nā pilikia a me nā hoʻonā 3ʻIke ʻia:

Ikaika (F) = 10 N

Ka laulā o ka paukūʻolokaʻa (R) = 0.2 m

Ka nuipa o ka paukūʻolokaʻa (M) = 20 kg

Makemake ʻia: Ka wikiwiki ʻana o ke kinikini

Lōlā:

τ = FR = (10 N)(0.2 m) = 2 N m

Manawa o ka inertia:

ʻO wau = 1/2 MR2 = 1/2 (20)(0.2)2 = 1⁄2 (20)(0.04) = 0.4 kg m2

Ka wikiwiki ʻana o ke kinikini:

α = Στ / I = 2 / 0.4 = 5 rad/s2

ike no hoi  Nā kahua uila - nā pilikia a me nā hoʻonā

4. He poloka 1-kg e kau ana mai ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ka manawa o ka inertia o ka pulley he 1 kg m2 a ʻo ke radius o ka pulley he 0.2 m. He aha ka wikiwiki angular o ka pulley. ʻO ka wikiwiki ma muli o ka umekaumaha he 10 m/s2.

Nā dinamika rotational - nā pilikia a me nā hoʻonā 4ʻIke ʻia:

Ka manawa o ka inertia o ka pulley (I) = 1 kg m2

Ka Mass o ka poloka (m) = 1 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s2

Weight (w) = mg = (1 kg)(10 m/s)2) = 10 kg m/s2 = 10 N

Ka laulā o ka pulley (R) = 0.2 m

Makemake ʻia: Hoʻolalelale kihi

Lōlā:

Torque:

τ = FR = w R = (10 N)(0.2 m) = 2 N m

Manawa o ka inertia:

ʻO I = 1 kg m2

Hoʻolalelale kihi:

α = Στ / I = 2 / 1 = 2 rad/s2

ike no hoi  Nā nui kino Nā anakahi Nā ana - Nā pilikia a me nā hoʻonā

5. He poloka 1-kg e kau ana mai ke kaula i wahī ʻia a puni kahi pulley cylinder. ʻO ke kaumaha o ka pulley he 20 kg a ʻo ke radius o ka pulley he 0,2 m. He aha ka wikiwiki angular o ka pulley a me ka hāʻule manuahi ka wikiwiki o ka poloka. ʻO ka wikiwiki ma muli o ke koʻikoʻi he 10 m/s2.

Nā dinamika rotational - nā pilikia a me nā hoʻonā 5ʻIke ʻia:

Ka nuipa o ka pulley (M) = 20 kg

Ka laulā o ka pulley (R) = 0,2 m

Ka nuipa o ka poloka (m) = 1 kg

Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s2

Kaumaha (w) = mg = (1 kg)(10 m/s)2) = 10 kg m/s2 = 10 N

Makemake ʻia: ka wikiwiki angular o ka pulley a me ka wikiwiki hāʻule manuahi o ka poloka.

Lōlā:

ʻO ka torque:

τ = FR = w R = (10 N)(0.2 m) = 2 N m

ʻO ka manawa inertia o ka pulley cylinder:

ʻO wau = 1/2 MR2 = 1/2 (20)(0.2)2 = (10)(0.04) = 0.4 kg m2

ʻO ka wikiwiki kihi o ka pulley:

α = Στ / I = 2 / 0.4 = 5 rad / s2

ʻO ka wikiwiki o ka hāʻule manuahi o ka poloka:

a = R α = (0.2)(5) = 1 m/s2

Hoʻolapala, PDF & Email

Waiho i ka manaʻo