Ntụgharị nkeji akụkụ (ogo, radian, mgbanwe)
1. ¼ rev = ….. o ( ogo )?
ngwọta
Mgbanwe 1 = 360 o
½ rev = 180 o
¼ rev = 90 o
2. ½ rev = …….. r ad?
ngwọta
1 rev = 2 π rad = 2 (3.14) rad = 6.28 rad
½ rev = pi rad = 3.14 rad
3. 180 o = ….. rev?
ngwọta
360 o = 1 mgbanwe
180 o = ½ rev
[irp]
4. 90 o = ….. rad ?
ngwọta
360 o = 2 π rad = 2 (3.14) rad = 6.28 ra d
180 o = π rad = 3.14 rad
90 o = ½ π rad = ½ (3.14) = 1.57
5. 60 rad = ….. rev?
ngwọta
6.28 rad = 1 rev
60 rad/6.28 = 9.55 rev
6. 40 rad= ….. o?
ngwọta
6.28 rad = 360 o
40 rad / 6.28 = (6.37) (360 o ) = 2292.99 o
[irp]
Mbugharị akụkụ na mwepụ ahịrị
1. Wheel igwe kwụ otu ebe nke dị sentimita iri isii na dayameta na-agbagharị radian iri. Kedu ihe bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?
A maara:
Redịọs (r) = 30 cm = 0.3 m
Akuku (θ ) = radian iri
Achọtara: mgbanwe kwụ ọtọ (l)
Ngwọta:
l = r θ
l = (0.3 m)(10 rad)
l = mita 3
2. Ígwè nke dị sentimita iri ise na ise n'obosara na-agbagharị 360 o . Gịnị bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?
A maara:
Redịọs (r) = 50 cm = 0.5 mita
Akuku ( θ ) = 360 o = 6.28 radians
Achọtara: mgbanwe kwụ ọtọ (l)
Ngwọta:
l = r θ
l = (0.5 m)(6.28 rad)
l = mita 3.14
[irp]
3. Ígwè nke dị sentimita iri ise na ise n'obosara na-agbagharị ugboro abụọ. Gịnị bụ mgbanwe ahịrị nke isi ihe dị n'ọnụ wiil ahụ?
A maara:
Redịọs (r) = 50 cm = 0,5 m
Akuku ( θ ) = mgbanwe abụọ = (2)(radian 6.28) = radian 12.56
Achọrọ: mgbanwe ahịrị (l)?
Ngwọta:
l = r θ
l = (0.5 m)(12.56 rad)
l = 6.28m
4. Isi ihe dị n'ọnụ wiil nke dị mita abụọ na radius, na-agagharị mita 100. Chọpụta ebe nrụgharị akụkụ ahụ dị.
A maara:
Redịọs (r) = ½ (dayameta) = ½ (mita 2) = 1 mita
Ngafe ahịrị (l) = mita 100
Ngwọta:
(a) Ngafe akụkụ (na radians)
θ = s / r = 100 / 1 = 100 radian
(b) Mgbanwe akụkụ (na ogo)
1 radian = 360 o
100 radians = 100(360 o ) = 36,000 radians
(c) Nkwapụ akụkụ (n'ọgba aghara)
6.28 radians = 1 mgbanwe
36,000 / 6.28 = mgbanwe 5732,484
[irp]
5. Ihe dị n'ime ya na-agba gburugburu mita iri ma na-agbagharị 180 o . Gịnị bụ radius?
A maara:
Ngafe kwụ ọtọ (l) = mita 10
Akuku ( θ ) = 180 o = 3.14 radians
Achọrọ: radius (r)
Ngwọta:
r = l / θ = 10 / 3.14 = 3.18 mita
[irp]
- Ịtụgharị nkeji akụkụ ihe nlele nsogbu na ngwọta
- Nsogbu na ngwọta nke ihe nlele maka mwepụ akụkụ na mwepụ ahịrị
- Nsogbu ihe nlele ọsọ angular na ọsọ linear na ngwọta
- Nsogbu ihe atụ nke osooso angular na osooso angular na ngwọta
- Nsogbu ihe nlele mmegharị okirikiri otu otu na ngwọta
- Nsogbu ihe nlele nke osooso nke centripetal na ngwọta
- Ihe nlele nsogbu mmegharị okirikiri na-abụghị otu ụdị na ngwọta
