Inji mai sauƙi guda 6 (Mai juyi a jirgin sama) - Matsaloli da Magani
1.
Wanne jirgin sama mai karkata yana da irin wannan fa'idar injiniya
A. (1) da (2)
B. (1) da (3)
C. (2) da (3)
D. (2) da (4)
Magani
Jirgin sama mai karkata yana ɗaya daga cikin injina masu sauƙi. Injina masu sauƙi kayan aiki ne da ke taimaka wa mutane yin aiki. Ana amfani da jirgin sama mai karkata don sauƙaƙa wa mutane ɗaga abu zuwa wani tsayi.
Fa'idar injina ta jirgin da aka karkata ita ce kwatanta tsawon karkata zuwa tsayin karkata.
Amfanin injina na jirgin sama mai karkata 1 = 50 cm / 30 cm = 5/3
Amfanin injina na jirgin sama mai karkata 2 = 5 cm / 4 cm = 5/4
Amfanin injina na jirgin sama mai karkata 3 = 50 cm / 40 cm = 5/4
Amfanin injina na jirgin sama mai karkata 4 = 5 cm / 3 cm = 5/3
[irp]
2.
Nisa AB = BC = CD = DE, ƙayyade ƙarfin shigarwar da dole ne a bayar a wurin E domin samun madaidaicin lever.
An sani:
AB = BC = CD = DE = l
Nisa tsakanin ƙarfin fitarwa da fulcrum ( a ) = l
Nisa tsakanin ƙarfin shigarwa da fulcrum ( b ) = 3l
Ƙarfin fitarwa (w) = 900 Newton
Ana nema: Ƙarfi (F)
Magani:
Amfanin injina:
MA = b / a = 3l/l = 3
Girman ƙarfi:
MA = w / F
F = w / MA
F = 900 Newtons / 3
F = 300 Newton
[irp]
3.
Ina yin odar daidaita lever sannan in tantance girman ƙarfin shigarsa.
Magani
Ƙayyade tazara tsakanin ƙarfin shigarwa da kuma fulcrum ( b )
An sani:
Nisa tsakanin ƙarfin fitarwa da fulcrum ( a ) = 25 cm
Ƙarfin fitarwa (w) = 480 Newton
Ƙarfin shigarwa (F) = 160 N
Ana so: Nisa tsakanin ƙarfin shigarwa da cikar (b)
Magani:
Amfanin injina:
MA = w / F = 480 N / 160 N = 3
Nisa tsakanin ƙarfin shigarwa da fulcrum (b)
MA = b / a
3 = b / 25 cm
b = (3)(25 cm)
b = 75 cm
Ƙayyade girman ƙarfin (F)
An sani:
Nisa tsakanin ƙarfin fitarwa da fulcrum ( a ) = 25 cm – 10 cm = 15 cm
Nauyin abu (w) = Newtons 480
Nisa tsakanin ƙarfin shigarwa da fulcrum ( b ) = 75 cm
Ana nema: Ƙarfin shigarwa (F)
Magani:
Amfanin injina:
MA = b / a
MA = 75 cm / 15 cm
MA = 5
Girman ƙarfi (F):
MA = w / F
F = w / MA
F = 480 Newtons / 5
F = 96 Newton
Ina yin odar lever ɗin ya kasance a cikin daidaito sannan ƙarfin shigarwa ya ragu 64 Newton (160 N – 96 N).
4. Rabon tsayin a da b a cikin hoton da ke ƙasa shine a: b = 1: 2.2. Mafi ƙarancin ƙimar ƙarfin F don ɗaga abu B mai nauyin 330 Newtons shine…. Newton
A. 100
B. 150
C. 2200
D. 7260
An sani:
Nisa tsakanin ƙarfin fitarwa da fulcrum ( a ) = 1
Nisa tsakanin ƙarfin shigarwa da cikar (b) = 2.2
Nauyi (w) = 330 Newton
Ana nema: Ƙarfin shigarwa (F)
Magani:
Amfanin injina na lever:
MA = w / F = b / a
MA = fa'idar injiniya , w = nauyi, F = ƙarfin shigarwa, b = nisa tsakanin ƙarfin shigarwa da fulcrum, a = nisa tsakanin ƙarfin fitarwa da fulcrum
w / F = b / a
330 / F = 2.2 / 1
330 / F = 2.2
330 / 2.2 = F
F = 150 Newton
Amsar da ta dace ita ce B.
5. Ɗalibi yana tura wani abu mai ƙarfin F daga maki A zuwa maki B, kamar yadda aka nuna a cikin hoton da ke ƙasa. Idan aka yi watsi da gogayya tsakanin abu da alade, a tantance fa'idar injin.
A. 4
B. 5/3
C. 5/4
D. ¾
An sani:
Tsayin jirgin sama mai karkata (y) = mita 4 – mita 1 = mita 3
Tsawon jirgin sama na kwance (x) = mita 4
Ana so: Amfanin injiniya (MA)
Magani:
Lissafa tsawon layin da aka karkata ta amfani da lissafin Pythagoras :
R = √3 2 +4 2 = √9 + 16 = √25 = mita 5
Amfanin injiniya na jirgin sama mai karkata:
KM = R / y
KM = mita 5 / mita 3
KM = 5/3
Amsar da ta dace ita ce B.
6. Ana iya ƙara fa'idar injina ta hanyar…
A. Rage hanyar karkata
B. faɗaɗa kusurwar karkatawar
C. rage kusurwar karkatawar
D. rage ƙarfin da ake amfani da shi don motsa abubuwa
Magani:
Daidaiton fa'idar injiniyan jirgin sama mai karkata:
Fa'idar injina = tsawon jirgin sama mai karkata/tsawo na jirgin sama mai karkata
– Fa'idar injina tana daidai da tsawon jirgin da aka karkata, don haka fa'idar injina tana ƙaruwa idan aka ƙara tsawon jirgin da aka karkata.
– Fa'idar injina tana da daidaiton daidaito da tsayin jirgin da aka karkata, saboda haka, ana rage fa'idar injina idan aka ƙara tsayin jirgin da aka karkata kuma aka ƙara fa'idar injina idan aka rage tsayin jirgin da aka karkata.
- Idan an rage kusurwar to tsayin jirgin da aka karkata zai ragu. Fa'idar injiniyanci za ta ƙaru idan tsayin jirgin da aka karkata ya ragu. Don haka idan an rage kusurwar to fa'idar injiniyanci za ta ƙaru.
Idan aka faɗaɗa kusurwar to tsayin jirgin da aka karkata zai ƙaru. Ana rage fa'idar injiniya idan aka ƙara tsayin jirgin da aka karkata. Don haka idan aka faɗaɗa kusurwar to fa'idar injin za ta ragu.
Madaidaicin amsar ita ce C.
