Ọkwa nke Angular - nsogbu na ngwọta ya

1. Ihe nwere oge inertia nke kilogram 2 m ² na-agbagharị na 1 rad/s. Kedu ihe bụ angular moment nke ihe ahụ?

A maara:

Oge nke inertia (I) = 2 kg m ²

Ọsọ akụkụ ( ω ) = 1 rad/s

Achọtara: Ike ntụgharị (L)

Ngwọta:

Usoro nke angular momentum:

L = M ω

L = ọsọ angular (kg m ² / s), I = oge inertia (kg m ² ), ω = ọsọ angular (rad/s)

Ike nke akụkụ:

L = I ω = (2)(1) = 2 kg m ² / s

2. Pulley silinda nke dị kilogram 2 nke nwere radius nke mita 0.1 na-agbagharị na ọsọ nkuku na-agbanwe agbanwe nke 2 rad/s. Kedu ihe bụ ọsọ nkuku nke pulley ahụ?

A maara:

Ibu nke pulley (m) = 2 kg g

Radius nke pulley (r) = 0.1 m

Ọsọ akụkụ (ω) = 2 r mgbasa ozi/s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke inertia maka silinda siri ike:

I = 1/2 mr ²

I = oge nke inertia (kg m ² ), m = oke (kg), r = radius (m)

Oge nke inertia:

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

Ọsọ akụkụ:

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

3. Ọgba okirikiri nke dị kilogram abụọ n'otu nha, nke nwere radius nke mita 0.2 , na-agbagharị na 4 rad/s. Kedu ka ọsọ nke bọọlụ ahụ si dị?

A maara:

Ibu nke bọọlụ (m) = 2 kg

Radius nke bọọlụ (r) = 0.2 m

Ọsọ akụkụ (ω) = 4 ra d/s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke oge nke inertia maka okirikiri otu:

I = (2/5) mr ²

I = oge t nke inertia (kg m ² ), m = oke (kg), r = radius (m)

Oge nke inertia maka okirikiri otu:

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

Momentụ nke okirikiri:

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

4. Ihe dị kilogram 1 na-agbagharị n'ọsọ nkuku na-agbanwe agbanwe nke 2 rad/s. Kedu ọsọ nkuku ma ọ bụrụ na radius nke okirikiri ahụ bụ 10 cm?

A maara:

Ibu nke ihe (m) = 1 kg g

Oke okirikiri (r) = 10 cm = 10/100 = 0.1 m

Ọsọ akụkụ (ω) = 2 rad/ s

Achọsiri ike: Momentum akụkụ

Ngwọta:

Usoro nke oge nke inertia maka ihe ndị ahụ:

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

Ike nkuku:

L = I ω = (0.01)(2) = 0.02 kg m ² / s