Mienzaniso mina yeMatambudziko eFluid Continuity Equation
1. Chikamu chimwe chete chepombi chine dhayamita ye20 cm uye chimwe chikamu chine dhayamita ye10 cm. Kana mwero wekuyerera kwemvura muchikamu chikuru chepombi uri 30 cm/s, saka mwero wekuyerera kwemvura muchikamu chidiki chepombi ndewe...
A. 80 cm/s
B. 100 cm/s
C. 120 cm/s
D. 130 cm/s
E. 140 cm/s
Kukurukurirana:
Zvinozivikanwa :
r1 = 10 cm, r2 = 5 masendimita
v1 = 30 cm/s
Akabvunzwa :
v2 ?
Jawab :
Equation yekuenderera mberi kwemvura:
A1 v1 =A2 v2
Information :
A1 = nzvimbo yepakati pepombi 1, v1 = mwero wekuyerera kwemvura mupombi 1
A2 = nzvimbo yepakati pepombi 2, v2 = mwero wekuyerera kwemvura mupombi 2
Nzvimbo yepakati pemapaipi:
A1 = phi r12 = (3,14)(10 cm)2 = (3,14)(100 cm)2)
A2 = phi r22 = (3,14)(5 cm)2 = (3,14)(25 cm)2)
Mwero wekuyerera kwemvura mupombi 2:
A1 v1 =A2 v2
(3,14)(100 cm)2)(30 cm/s) = (3,14)(25 cm2)(v)2)
(100)(30 cm/s) = (25)(v)2)
3000 / 25 = v2
v2 = 120 cm/s
Mhinduro chaiyo ndiC.
2. Oiri inoyerera kubva papombi A kuenda papombi B uye yozoenda papombi C. Chiyero chenzvimbo yepakati pepombi A nenzvimbo yepakati pepombi C i5:3. Kana mwero wekufamba kwemafuta mupombi A wakaenzana ne2v, saka mwero wekuyerera kwemafuta mupombi C uri...
A. (3/10)v
B. 2v
C. (10/3)v
D. 5v
E. 9v
Kukurukurirana:
Zvinozivikanwa :
A1 = 5, A2 = 3, v1 = 2v
Akabvunzwa :
v2 ?
Jawab :
A1 v1 =A2 v2
(5)(2v) = (3)(v)2)
10v = 3(v)2)
v2 = (10/3)v
Mwero wekuyerera kwemafuta mupombi C ndeye (10/3)v
Mhinduro chaiyo ndiC.
3. Mvura inoyerera nemupombi sezvakaratidzwa pamufananidzo unotevera. Kana nzvimbo yechikamu chepakati A1 = 8 cm2 , A2 = 2 cm2 uye kumhanya kwemvura v2 = 2 m/s saka hukuru hwe v1 huri …
A. 0,5 ms-1
B. 1,0 ms-1
C. 1,5 ms-1
D. 2,0 ms-1
E. 2,5 ms-1
Kukurukurirana
Zvinozivikanwa :
Nzvimbo yepakati pezvikamu 1 (A)1) = 8 cm2
Nzvimbo yepakati pezvikamu 2 (A)2) = 2 cm2
Kumhanya kwemvura pachikamu chechipiri (v)2) = 2 m/s
Akabvunzwa : kumhanya kwemvura pachikamu 1 (v)1)
Jawab :
Equation yekuenderera mberi kwemvura :
A1 v1 =A2 v2
8 v1 = (2)(2)
8 v1 = 4
v1 = 4 / 8 = 0,5 m/s
Mhinduro chaiyo ndiA.
4. Tarisa mufananidzo! Kana dhayamita yechikamu chikuru chemuchinjikwa iri kaviri dhayamita yechikamu chidiki chemuchinjikwa, kumhanya kwekuyerera kwemvura mupombi diki ...
A. 01 ms-1
B. 04 ms-1
C. 08 ms-1
D. 16 ms-1
E. 20 ms-1
Kukurukurirana
Zvinozivikanwa :
Dhayamita hombe (d)1= = 2
Radiyo hombe yechikamu chakayambuka (r)1) = ½ d1 = ½ (2) = 1
Nzvimbo yakakura ine zvikamu zvakasiyana (A1) = π r12 = π (1)2 = π (1)= π
Dhayamita diki (d)2= = 1
Dunhu diki remuchinjiko (r)2) = ½ d2 = ½ (1) = ½
Nzvimbo diki ine zvikamu zvakasiyana (A2) = π r22 = π (1/2)2 = π (1/4)= ¼ π
Kumhanya kwekuyerera kwemvura muchikamu chikuru (v1) = 4 m/s
Akabvunzwa : kumhanya kwekuyerera kwemvura pachikamu chidiki chemuchinjikwa v2)
Jawab :
Equation yekuenderera mberi kwemvura :
A1 v1 =A2 v2
π 4 = ¼ π (v2)
4 = ¼ (v)2)
v2 = 8 m/s
Mhinduro chaiyo ndiC.
