1. Ihe na-agagharị n'ime okirikiri na ọsọ nkuku na-agbanwe agbanwe nke 10 rad/s. Chọpụta (a) Ọsọ nkuku mgbe sekọnd 10 gasịrị (b) Nkwagharị nkuku mgbe sekọnd 10 gasịrị.
A maara:
Ọsọ akụkụ (ω) = 10 rad/s
A chọrọ:
(a) Ọsọ akụkụ (ω) mgbe sekọnd iri gasịrị.
(b) Akụkụ (θ) mgbe sekọnd iri gasịrị
Ngwọta:
(a) Ọsọ akụkụ (ω) mgbe sekọnd abụọ gasịrị
Ihe ahụ na -agagharị n'otu okirikiri ka ọsọ akụkụ ahụ wee na-agbanwe agbanwe, 10 rad/s.
(b) Mgbanwe akụkụ (θ)
Ọsọ nkuku na-aga n'ihu 10 radians/sekọnd pụtara ihe dị ka radians iri kwa sekọnd. Mgbe sekọnd iri gachara, ihe dị ka radians iri 10 = radians iri 100.
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2. Ihe dị n'ime ya na-agagharị n'ime okirikiri nke na-agba ọsọ nke 10 m/s. Radius nke okirikiri = 1 mita. Chọpụta (a) Ọsọ nke ihe dị n'ime ya mgbe sekọnd 5 gasịrị (b) Nkwaga nke ihe dị n'ime ya mgbe sekọnd 5 gasịrị (c) Ọsọ nke etiti.
A maara:
Radius nke okirikiri (r) = 1 mita
Ọsọ nke ihe ndị dị n'ime ya (v) = 10 m/s
Ngwọta:
(a) Ọsọ nke ihe ndị na-eme ka ihe dị n'ime ya gbapụ mgbe sekọnd ise gachara
Mmegharị nke ihe ahụ dị n'otu mmegharị okirikiri nke mere na ọsọ ahụ na-adịgide, 10 m/s.
(b) Nkwapụ nke ihe ndị dị n'ime ya mgbe sekọnd ise gachara
Mita iri/sekọnd pụtara kwa sekọnd 1, mwepụ nke mkpụrụ ahụ = mita iri. Mgbe sekọnd ise gachara, mwepụ nke mkpụrụ ahụ = mita 5 x 10 = mita iri ise.
(c) Ọsọ ọsọ nke etiti (a r )
a r = v 2 / r = 10 2 / 1 = 100 / 1 = 100 m/s 2
3. A na-agba bọọlụ e jikọtara n'otu nsọtụ eriri gburugburu n'ime okirikiri nwere radius nke mita abụọ na ọsọ na-agbanwe agbanwe nke 60 rpm. Chọpụta (a) oke ọsọ akụkụ mgbe sekọnd abụọ gasịrị (b) mgbanwe akụkụ mgbe nkeji 1 gasịrị.
A maara:
Radius nke okirikiri (r) = mita 2
Ọsọ akụkụ (ω) = 60 rpm = mgbanwe 60 / 1 nkeji
= Mgbanwe 60 / Sekọnd 60 = Mgbanwe 1 / Sekọnd = 2π radians / Sekọnd
= 2(3.14) radian / sekọnd = 6.28 radian / sekọnd
Ngwọta:
(a) Ọsọ akụkụ (ω) mgbe sekọnd abụọ gasịrị
Ọsọ akụkụ ahụ na-agbanwe agbanwe yabụ mgbe sekọnd abụọ gachara, ọsọ akụkụ ahụ (ω) = 6.28 radians / sekọnd
(b) Mgbanwe akụkụ (θ)
Ọsọ akụkụ = 1 mgbanwe/sekọnd pụtara kwa sekọnd 1, bọọlụ ahụ na-enweta mgbanwe 1. Mgbe sekọnd 60 gachara, bọọlụ ahụ na-emegharị mgbanwe 60.
Ọsọ nkuku = radians 6.28/sekọnd pụtara na sekọnd 1 ọ bụla, bọọlụ ahụ na-agagharị na nkuku radians 6.28. Mgbe sekọnd 60 gachara, bọọlụ ahụ na-agagharị radians 376.8.
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4. Ígwè igwe kwụ otu ebe na-agbagharị ugboro 120 n'ime sekọnd 60. Kedu ọsọ akụkụ?
Ngwọta:
(a) mgbanwe kwa nkeji (rpm)
Mgbanwe 120 / sekọnd 60 = mgbanwe 120 / nkeji 1 = mgbanwe 120 / nkeji = 120 rpm
(b) ogo kwa sekọnd ( o / s)
Mgbanwe 1 = 360 o , mgbanwe 120 = 43200 o
Mgbanwe 120 / sekọnd 60 = (120)(360 o ) / sekọnd 60 = 43200 o / sekọnd 60 = 720 o / sekọnd
(c) radians kwa sekọnd (rad/s)
1 mgbanwe = 6.28 radians
Mgbanwe 120 / sekọnd 60 = (120)(6.28) radian / sekọnd 60 = 753.6 radian / sekọnd 60 = 12.56 radian/sekọnd.
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