Mphamvu ya Angular - Mavuto ndi Mayankho

1. Chinthu chokhala ndi nthawi ya inertia ya 2 kg m ² chimazungulira pa 1 rad/s. Kodi mphamvu ya angular ya chinthucho ndi yotani ?

Zodziwika:

Nthawi ya kulephera (I) = 2 kg m ²

Liwiro la angular ( ω ) = 1 rad/s

Kufunidwa: Angular momentum (L)

Yankho:

Fomula ya angular momentum:

L = Ine ω

L = angular momentum (kg m ² /s), I = mphindi ya inertia (kg m ² ), ω = angular speed (rad/s)

Mphamvu ya angular:

L = I ω = (2)(1) = 2 kg m ² /s

2. Pulley ya silinda ya 2 kg yokhala ndi utali wa 0.1 m imazungulira pa liwiro lokhazikika la 2 rad/s. Kodi mphamvu ya pulley ya angular ndi yotani?

Zodziwika:

Kulemera kwa pulley (m) = 2 kg g

Utali wa pulley (r) = 0.1 m

Liwiro la angular (ω) = 2 r ad/s

Kufunidwa: Mphamvu ya angular

Yankho:

Fomula ya mphindi ya inertia ya silinda yolimba:

Ine = 1/2 mr ²

I = mphindi ya kulephera (kg m ² ), m = kulemera (kg), r = utali wozungulira (m)

Nthawi ya kutopa:

I = 1/2 (2)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Liwiro la angular:

L = I ω = ( 0.01 )( 2 ) = 0.02 kg m ² /s

3. Chipilala chofanana cha makilogalamu awiri chokhala ndi utali wa mamita 0.2 chimazungulira pa 4 rad/s. Kodi mphamvu ya mpira ndi yotani?

Zodziwika:

Kulemera kwa mpira (m) = 2 kg

Utali wa mpira (r) = 0.2 m

Liwiro la angular (ω) = 4 ra d/s

Kufunidwa: Mphamvu ya angular

Yankho:

Fomula ya mphindi ya inertia ya malo ofanana:

Ine = (2/5) mr ²

I = mphindi t ya inertia (kg m ² ), m = kulemera (kg), r = utali wozungulira (m)

Nthawi ya inertia ya malo ofanana:

I = (2/5)(2)(0.2) ² = (4/5)(0.04) = 0.032 kg m ²

Mphamvu ya angular ya mlengalenga:

L = I ω = ( 0.032 )( 4 ) = 0.128 kg m ² /s

4. Tinthu tating'onoting'ono ta 1-kg timazungulira pa liwiro lokhazikika la 2 rad/s. Kodi liwiro la angular ndi lotani ngati radius ya bwalo ndi 10 cm?

Zodziwika:

Kulemera kwa chinthu (m) = 1 kg g

Utali wozungulira wa bwalo (r) = 10 cm = 10/100 = 0.1 m

Liwiro la angular (ω) = 2 rad/ s

Kufunidwa: Mphamvu ya angular

Yankho:

Fomula ya mphindi ya inertia ya tinthu tating'onoting'ono:

Ine = mr ² = (1)(0.1) ² = (1)(0.01) = 0.01 kg m ²

Mphamvu ya angular:

L = I ω = (0.01)(2) = 0.02 kg m ² /s