Izibonelo zokufuduka kwe-angular kanye nokufuduka okuqondile ekuhambeni okujikelezayo

Izibonelo ezi-5 zokufuduka kwe-angular kanye nokufuduka okuqondile ekuhambeni okujikelezayo

1. Isondo elinobubanzi obungamasentimitha angu-30 lijikeleza ibanga elingama-radian ayi-10. Iphuzu eliseceleni kwesondo lihamba ibanga elingakanani?
Ingxoxo
Ibanga eliphakathi komphetho wesondo kanye nesikhungo sesondo = irediyasi yesondo.
Kuyaziwa ukuthi:
Irediyasi (r) = 30 cm = 0,3 amamitha
Ikona (umamkhulu) = ama-radian angu-10
Kubuziwe: ibanga elihanjiwe (ama)
Impendulo:
Ifomula yobudlelwano phakathi kwebanga kanye ne-engeli yokuhamba:
s = r umamkhulu
s = (amamitha angu-0,3)(ama-radian angu-10)
s = amamitha angu-3
Ibanga elihanjwa yiphuzu eliseceleni kwesondo lingamamitha amathathu.

2. Isondo elinobubanzi obungamasentimitha angu-50 lijikeleza ama-degree angu-360.^o. Iphuzu eliseceleni kwesondo lihamba ibanga elingakanani?
Ingxoxo
Kuyaziwa ukuthi:
Irediyasi (r) = 50 cm = 0,5 amamitha
Ikona (umamkhulu= = 360^o = i-radian eyi-6,28
Kubuziwe: ibanga elihanjiwe?
Impendulo:
s = r umamkhulu
s = (amamitha angu-0,5)(ama-radian angu-6,28)
s = amamitha angu-3,14
Ibanga elihanjwa yiphuzu eliseceleni kwesondo lingamamitha amathathu.

3. Isondo elinobubanzi obungamasentimitha angu-50 lenza ukujikeleza okubili. Iphuzu eliseceleni kwesondo lihamba ibanga elingakanani?
Ingxoxo
Kuyaziwa ukuthi:
Irediyasi = 50 cm = 0,5 amamitha
Ikona (umamkhulu) = 2 ukujika = (2)(6,28 ama-radian) = 12,56 ama-radian
Kubuziwe: ibanga elihanjiwe?
Impendulo:
s = r umamkhulu
s = (amamitha angu-0,5)(ama-radian angu-12,56)
s = amamitha angu-6,28
Ibanga elihanjwa yiphuzu eliseceleni kwesondo lingamamitha amathathu.

4. Iphuzu eliseceleni kwepropeller enobubanzi obungamamitha amabili lihamba ibanga elingamamitha ayi-100. Thola i-engeli yokuhamba kwepropeller. Yiveze ngama-radians, degrees, kanye nama-revolutions.
Ingxoxo
Kuyaziwa ukuthi:
Irediyasi (r) = ½ (ububanzi) = ½ (amamitha ama-2) = imitha eli-1
Ibanga elihanjiwe = amamitha ayi-100
Impendulo:
(a) I-engeli yokuhamba (ngama-radians)
umamkhulu = s / r = 100 / 1 = ama-radian ayi-100
(b) I-engeli yokuhamba (ngamadigri)

I-radian eyi-1 = 360^o
Ama-radian ayi-100 = 100(360)^o) = ama-radian angu-36.000
(c) I-engeli yokuhamba (ngokuzungeza)
Ama-radian angu-6,28 = umjikelezo ongu-1
36.000 / 6,28 = 5732,484 ama-spin

5. Inhlayiya ihamba ngendilinga amamitha ayi-10 bese ihamba nge-engeli engu-180^o. Iyini irediyasi yendlela eyindilinga yenhlayiya?
Ingxoxo
Kuyaziwa ukuthi:
Ibanga elihanjiwe = amamitha ayi-10
Ikona (umamkhulu= = 180^o = i-radian eyi-3,14
Kubuziwe: irediyasi (r)?
Impendulo:
r = s / umamkhulu = 10 / 3,14 = 3,18 amamitha

Catatan:
Ekuxazululeni inkinga, uma i-engeli yaziwa ngokwezinguquko noma amadigri, yiguqule ibe ama-radian kuqala.