Liliuina o iunite o le tulimanu (tikeri, radian, taamilosaga)
1. ¼ rev = ….. o ( tikeri ) ?
fofo
1 taamilosaga = 360 o
½ liliu = 180 o
¼ liliu = 90 o
2. ½ rev = …….. r ad?
fofo
1 ta'amilosaga = 2 π rad = 2(3.14) rad = 6.28 rad
½ rev = pi rad = 3.14 rad
3. 180 o = ….. liliu ?
fofo
360 o = 1 taamilosaga
180 o = ½ taamilosaga
[irp]
4. 90 o = ….. rad ?
fofo
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?
fofo
6.28 rad = 1 rev
60 rad/6.28 = 9.55 rev
6. 40 rad= ….. pe?
fofo
6.28 rad = 360 o
40 rad/6.28 = (6.37)(360 o ) = 2292.99 o
[irp]
Si'itia tulimanu ma si'itia laina
1. O se uili uila e 60 cm le lautele e feliuliua'i i le 10 radians. O le a le si'itia fa'alava o se tulaga i le pito o le uili?
Ua iloa:
Lapo'a (r) = 30 cm = 0.3 mita
Tulimanu (θ ) = 10 radians
Mana'omia: si'itia fa'asolosolo (l)
Fofo:
l = r θ
l = (0.3 mita)(10 rad)
l = 3 mita
2. O se uili e 50 cm le radius e feliuliuaʻi i le 360 ° . O le a le siʻitia laina o se mea i le pito o le uili?
Ua iloa:
Lapo'a (r) = 50 cm = 0.5 mita
Tulimanu ( θ ) = 360 o = 6.28 radians
Mana'omia: si'itia fa'asolosolo (l)
Fofo:
l = r θ
l = (0.5 mita)(6.28 rad)
l = 3.14 mita
[irp]
3. O se uili e 50 cm le radius e feliuliua'i i ni ta'amilosaga se lua. O le a le si'itia fa'asolosolo o se mea i le pito o le uili?
Ua iloa:
Lapo'a (r) = 50 cm = 0,5 mita
Tulimanu ( θ ) = 2 taamilosaga = (2)(6.28 radians) = 12.56 radians
Manaomia: si'itia fa'asolosolo (l)?
Fofo:
l = r θ
l = (0.5 mita)(12.56 rad)
l = 6.28 m
4. O se tulaga i le pito o se uili e 2 mita le radius, e fealua'i i le 100 mita. Fuafua le si'itia tulimanu.
Ua iloa:
Radius (r) = ½ (lautele) = ½ (2 mita) = 1 mita
si'itia fa'asolosolo (l) = 100 mita
Fofo:
(a) Fe'avea'iga tulimanu (i radians)
θ = s / r = 100 / 1 = 100 radians
(b) Fe'avea'iga tulimanu (i tikeri)
1 radian = 360 o
100 radians = 100(360 o ) = 36,000 radians
(c) Fe'avea'iga tulimanu (i le taamilosaga)
6.28 radians = 1 taamilosaga
36,000 / 6.28 = 5732,484 taamilosaga
[irp]
5. O se fasi mea e fa'ata'amilomilo i se li'o i le 10 mita ma fa'ata'amilo i le 180 tikeri . O le a le radius?
Ua iloa:
Si'itia fa'asolosolo (l) = 10 mita
Tulimanu ( θ ) = 180 o = 3.14 radians
Mana'omia: radius (r)
Fofo:
r = l / θ = 10 / 3.14 = 3.18 mita
[irp]
- Fa'aliliuina o iunite tulimanu fa'ata'ita'iga o fa'afitauli ma fofo
- Fa'ata'ita'iga o fa'afitauli ma fofo o le si'itia tulimanu ma le si'itia laina
- Fa'ata'ita'iga o le saoasaoa tulimanu ma le saoasaoa laina fa'atasi ai ma fofo
- Fa'ata'ita'iga o fa'afitauli o le fa'atelevaveina o le tulimanu ma le fa'atelevaveina o le laina fa'atasi ai ma fofo
- Fa'ata'ita'iga o gaioiga fa'ata'amilomilo tutusa ma fa'afitauli ma fofo
- Fa'afitauli fa'ata'ita'i o le fa'avavevaveina o le centripetal ma fofo
- Fa'ata'ita'iga o gaioiga fa'ata'amilomilo e le tutusa ma fa'afitauli ma fofo
