Ho fetola diyuniti tsa angle (degree, radian, revolution)
1. ¼ rev = ….. o ( degree )?
tharollo
Phetoho e le 'ngoe = 360 o
½ rev = 180 o
¼ rev = 90 o
2. ½ rev = …….. r ad?
tharollo
1 rev = 2 π rad = 2(3.14) rad = 6.28 rad
½ rev = pi rad = 3.14 rad
3. 180 o = ….. rev ?
tharollo
360 o = phetohelo e le 'ngoe
180 o = halofo ea phetoho
[irp]
4. 90 o = ….. rad ?
tharollo
360 o = 2 π rad = 2(3.14) rad = 6.28 rad
180 o = π lera = 3.14 lera
90 o = ½ π rad = ½ (3.14) = 1.57
5. 60 rad = ….. rev?
tharollo
6.28 rad = 1 rev
60 rad/6.28 = 9.55 rev
6. 40 rad= ….. o?
tharollo
6.28 rad = 360 o
40 rad/6.28 = (6.37) (360 o ) = 2292.99 o
[irp]
Ho falla ha angular le ho falla ha linear
1. Lebili la baesekele le bophara ba 60 cm le potoloha di-radian tse 10. Ho falla ha ntlha e lebaneng le lebili ke eng?
Tse tsejoang:
Radius (r) = 30 cm = 0.3 m
Angle (θ ) = li-radian tse 10
Ho batloa: ho falla ha mola (l)
Tharollo:
l = r θ
l = (0.3 m)(10 rad)
l = limithara tse 3
2. Lebili la 50 cm ka radius le potoloha diore tse 360. Ho falla ha ntlha e moeding wa lebili ke eng?
Tse tsejoang:
Radius (r) = 50 cm = 0.5 metres
Angle ( θ ) = 360 o = 6.28 radians
Ho batloa: ho falla ha mola (l)
Tharollo:
l = r θ
l = (0.5 m)(6.28 rad)
l = limithara tse 3.14
[irp]
3. Lebili la 50 cm ka radius le potoloha diphetoho tse 2. Ho falla ha ntlha e moeding wa lebili ke eng?
Tse tsejoang:
Radius (r) = 50 cm = 0,5 m
Angle ( θ ) = 2 diphetoho = (2)(6.28 radians) = 12.56 radians
Ho batloa: ho falla ha mola (l)?
Tharollo:
l = r θ
l = (0.5 m)(12.56 rad)
l = 6.28 m
4. Ntlha e ka lehlakoreng la lebili e bolelele ba limithara tse 2 ka har'a radius, e tsamaea limithara tse 100. Fumana ho falla ha khoele.
Tse tsejoang:
Radius (r) = ½ (bophara) = ½ (limithara tse 2) = 1 mithara
ho falla ha mola (l) = limithara tse 100
Tharollo:
(a) Ho falla ha Angular (ka mahlaseli)
θ = s / r = 100 / 1 = 100 radians
(b) Ho falla ha Angular (ka likhato)
Radian e le 'ngoe = 360 o
Li-radian tse 100 = 100(360 o ) = li-radian tse 36,000
(c) Ho falla ha Angular (phetohelong)
Li-radian tse 6.28 = phetohelo e le 'ngoe
36,000 / 6.28 = 5732,484 diphetoho
[irp]
5. Phatsa e potoloha selikalikoe sa limithara tse 10 mme e potoloha di-o tse 180. Radius ke eng?
Tse tsejoang:
Ho falla ha mola (l) = limithara tse 10
Angle ( θ ) = 180 o = 3.14 radians
Ho batloa: radius (r)
Tharollo:
r = l / θ = 10 / 3.14 = limithara tse 3.18
[irp]
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- Mathata a sampole ea lebelo la angular le lebelo le otlolohileng ka litharollo
- Mathata a mohlala oa ho potlakisa ka mokhoa o otlolohileng le oa ho potlakisa ka litharollo
- Mehlala ea mathata a metsamao e chitja e tšoanang ka litharollo
- Mathata a sampole ea ho potlakisa centripetal ka litharollo
- Mathata a sampole ea metsamao e chitja e sa tšoanelang ka litharollo
