Ukuguqula amayunithi e-engeli (izinga, i-radian, i-revolution)
1. ¼ rev = ….. o ( izinga )?
Isixazululo
Uguquko olu-1 = 360 o
½ rev = 180 o
¼ rev = 90 o
2. ½ rev = …….. isikhangiso r?
Isixazululo
1 rev = 2 π rad = 2(3.14) rad = 6.28 rad
½ rev = pi rad = 3.14 rad
3. 180 o = ….. rev ?
Isixazululo
360 o = 1 revolution
180 o = ½ rev
[irp]
4. 90 o = ….. rad ?
Isixazululo
360 o = 2 π rad = 2(3.14) rad = 6.28 rad
180 o = π rad = 3.14 rad
90 o = ½ π rad = ½ (3.14) = 1.57
5. 60 rad = ….. rev?
Isixazululo
6.28 rad = 1 rev
60 rad/6.28 = 9.55 rev
6. 40 rad= ….. o?
Isixazululo
6.28 rad = 360 o
40 rad/6.28 = (6.37)(360 o ) = 2292.99 o
[irp]
Ukufuduka kwe-Angular kanye nokufuduka okuqondile
1. Isondo lebhayisikili elingu-60 cm ububanzi lijikeleza ama-radian ayi-10. Kuyini ukufuduka okuqondile kwephuzu eliseceleni kwesondo?
Kwaziwa:
Irediyasi (r) = 30 cm = 0.3 m
I-engeli (θ ) = ama-radian ayi-10
Okufunwayo: ukufuduka okuqondile (l)
Isixazululo:
l = r θ
l = (0.3 m)(10 rad)
l = amamitha angu-3
2. Isondo elingamasentimitha angu-50 ku-radius lijikeleza ama -o angu- 360 . Kuyini ukufuduka okuqondile kwephuzu eliseceleni kwesondo?
Kwaziwa:
Irediyasi (r) = 50 cm = 0.5 amamitha
I-engeli ( θ ) = 360 o = 6.28 ama-radian
Okufunwayo: ukufuduka okuqondile (l)
Isixazululo:
l = r θ
l = (0.5 m)(6.28 rad)
l = amamitha angu-3.14
[irp]
3. Isondo elingamasentimitha angu-50 ku-radius lijikeleza izikhathi ezimbili. Kuyini ukufuduka okuqondile kwephuzu eliseceleni kwesondo?
Kwaziwa:
Irediyasi (r) = 50 cm = 0,5 m
I-engela ( θ ) = 2 imijikelezo = (2)(6.28 ama-radian) = 12.56 ama-radian
Okufunwayo: ukufuduka okuqondile (l)?
Isixazululo:
l = r θ
l = (0.5 m)(12.56 rad)
l = 6.28 m
4. Iphuzu eliseceleni kwesondo elingamamitha ama-2 ku-radius, lihamba amamitha ayi-100. Thola ukufuduka kwe-angular.
Kwaziwa:
Irediyasi (r) = ½ (ububanzi) = ½ (amamitha ama-2) = imitha eli-1
ukuhamba okuqondile (l) = amamitha ayi-100
Isixazululo:
(a) Ukufuduka kwe-Angular (kuma-radians)
θ = s / r = 100 / 1 = ama-radian ayi-100
(b) Ukufuduka kwe-Angular (ngamadigri)
I-radian eyi-1 = 360 o
Ama-radian ayi-100 = 100(360 o ) = ama-radian ayi-36,000
(c) Ukufuduka kwe-Angular (ekuguqukeni)
Ama-radian angu-6.28 = umjikelezo ongu-1
36,000 / 6.28 = 5732,484 revolutions
[irp]
5. Inhlayiya izungeza indilinga ngamamitha ayi-10 bese izungeza ama- o ayi- 180 . Iyini irediyasi?
Kwaziwa:
Ukuhamba ngomugqa (l) = amamitha ayi-10
I-engeli ( θ ) = 180 o = 3.14 ama-radian
Okufunwayo: irediyasi (r)
Isixazululo:
r = l / θ = 10 / 3.14 = 3.18 amamitha
[irp]
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