Mehlala ea ho falla ha angular le ho falla ha linear ka motsamao o chitja

Mehlala e 5 ea ho falla ha angular le ho falla ha linear ka motsamao o chitja

1. Lebili le nang le radius ea 30 cm le potoloha sebaka sa radians tse 10. Ntlha e ka lehlakoreng la lebili e tsamaea hole hakae?
Puisano
Sebaka se pakeng tsa lehlakore la lebili le bohareng ba lebili = radius ea lebili.
Hoa tsebahala hore:
Radius (r) = 30 cm = 0,3 metres
Sekhutlo (tit) = li-radian tse 10
E botsitsoe: sebaka (li) se tsamailoeng
Karabo:
Foromo ea kamano pakeng tsa sebaka le sekhutlo sa leeto:
s = r tit
s = (limithara tse 0,3)(li-radian tse 10)
s = limithara tse 3
Sebaka se tsamauoang ke ntlha e ka lehlakoreng la lebili ke limithara tse 3.

2. Lebili le nang le radius ea 50 cm le potoloha likhato tse 360.^o. Ntlha e ka lehlakoreng la lebili e tsamaya hole hakae?
Puisano
Hoa tsebahala hore:
Radius (r) = 50 cm = 0,5 metres
Sekhutlo (tit= 360^o = mahlaseli a 6,28
O botsitse: sebaka (li) se tsamailoeng?
Karabo:
s = r tit
s = (limithara tse 0,5)(li-radian tse 6,28)
s = limithara tse 3,14
Sebaka se tsamauoang ke ntlha e ka lehlakoreng la lebili ke limithara tse 3.

3. Lebili le nang le radius ea 50 cm le etsa lipotoloho tse 2. Ntlha e ka lehlakoreng la lebili e tsamaea hole hakae?
Puisano
Hoa tsebahala hore:
Radius = 50 cm = 0,5 metres
Sekhutlo (tit) = Maqhubu a 2 = (2)(maqhubu a 6,28) = maqhubu a 12,56
O botsitse: sebaka (li) se tsamailoeng?
Karabo:
s = r tit
s = (limithara tse 0,5)(li-radian tse 12,56)
s = limithara tse 6,28
Sebaka se tsamauoang ke ntlha e ka lehlakoreng la lebili ke limithara tse 3.

4. Ntlha e ka lehlakoreng la propeller ea bophara ba limithara tse 2 e tsamaea sebaka sa limithara tse 100. Fumana sekhutlo sa leeto la propeller. E hlalose ka radians, degrees, le revolutions.
Puisano
Hoa tsebahala hore:
Radius (r) = ½ (bophara) = ½ (limithara tse 2) = 1 mithara
Sebaka se tsamailoeng = limithara tse 100
Karabo:
(a) Sekhutlo sa maeto (ka mahlaseli)
tit = s / r = 100 / 1 = 100 radians
(b) Sekhutlo sa maeto (ka likhato)

Radian e le 1 = 360^o
Li-radian tse 100 = 100 (360)^o) = li-radian tse 36.000
(c) Sekhutlo sa maeto (ka diphetoho)
Li-radian tse 6,28 = phetohelo e le 'ngoe
36.000 / 6,28 = 5732,484 di-spin

5. Phatsa e tsamaea ka selikalikoe ka limithara tse 10 'me e tsamaea ka sekhutlo sa 180^o. Radius ea tsela e chitja ea karoloana ke efe?
Puisano
Hoa tsebahala hore:
Sebaka se tsamailoeng = limithara tse 10
Sekhutlo (tit= 180^o = mahlaseli a 3,14
E botsitsweng: radius (r)?
Karabo:
r = s / tit = 10 / 3,14 = limithara tse 3,18

Catatan :
Ha o rarolla bothata, haeba sekhutlo se tsebahala ka diphetoho kapa di-degree, o se fetole ho di-radian pele.