Zitsanzo 9 za Chilamulo cha Pascal
1. Malo ozungulira a jack iliyonse ya hydraulic ndi 0,04 m2 ndi 0,10 m2Ngati mphamvu yolowera ndi 5 Newtons, kodi mphamvu yotulutsira yayikulu ndi iti?
Kukambirana:
Amadziwika kuti:
A1 = 0,04 m2
A2 = 0,10 m2
F1 = 5 n
Anafunsa: F2 ?
Yankho:
F1/A1 =F2/A2
5/0,04 = F2/ 0,10
125=F2/ 0,10
F2 = (125)(0,10) = 12,5 N
2. Utali wa gawo laling'ono la hydraulic jack ndi 2 cm ndipo utali wa gawo lalikulu ndi 25 cm. Kodi mphamvu zingati zomwe zimagwiritsidwa ntchito pa gawo laling'ono la cross-section ponyamula galimoto yolemera makilogalamu 2000 zimagwiritsidwa ntchito?
Kukambirana:
Amadziwika kuti:
r1 = 2 cm = 0,02 m
r2 = 25 cm = 0,25 m
A1 = (3,14)(0,02)2 = 0,001256 m2
A2 = (3,14)(0,25)2 = 0,19625 m2
F2 = w = mg = (2000)(9,8 m/s2) = 19600 N
Anafunsa: F1 ?
Yankho:
F1/A1 =F2/A2
F1/0,001256 = 19600/0,19625
F1/0,001256 = 99.872,6
F1 = 125,44 n
3. Kupanikizika kwakukulu pa hydraulic jack ndi 10 atm. Kodi kulemera kwakukulu (kg) komwe kungakwezedwe ndi kotani ngati m'mimba mwake wa chotulutsira ndi 20 cm?
Kukambirana:
Amadziwika kuti:
1 atm = 1,013 x 105 N / m2
p kuyeza = 10 atm = (10)(1,013 x 105 N / m2) = 10,13 x 105 N / m2
F1 = 10,13x10 pa5 N / m2
A1 = 1 m2
A2 = (3,14)(0,10 m)2 = 0,0314 m2
Anafunsa: F2 ?
Yankho:
p = F/A kapena F1/A1 =F2/A2
1013000/1 = F2/ 0,0314
1.013.000=F2/ 0,0314
F2 = 31.808 n
Kulemera kwakukulu:
w = mg
31.808 = m (9,8)
m = 3.245,7 makilogalamu
4. Dziwani zambiri!
Malo ozungulira A1 = 10 masentimita2
Malo ozungulira A2 = 100 masentimita2
Kalembedwe (F)1) zomwe ziyenera kuperekedwa kuti zigwire F2 = 100 N kuti dongosolo likhale lolinganizidwa ndi...
A. 1.000 Newton
B. 100 Newton
C. 10 Newton
D. 1 Newton
Zokambirana
Amadziwika kuti:
Malo ozungulira 1 (A)1) = 10 cm2
Malo ozungulira 2 (A)2) = 100 masentimita2
Kalembedwe 2 (F)2) = 100 Newton
Anafunsa kuti: Kalembedwe 1 (F)1)
Yankho:
Chida chomwe chili pachithunzi pamwambapa ndi hydraulic jack. Momwe hydraulic jack imagwirira ntchito imachokera ku lamulo la Pascal. Lamulo la Pascal limati kupanikizika komwe kumayikidwa pamadzimadzi kumafalikira ndi madziwo mbali zonse, ndipo mbali zonse zamadzimadzi zimakumana ndi kupanikizika kofanana.
Fomula yokakamiza:
P = F/A
Kufotokozera kwa fomula: P = kupanikizika, F = mphamvu, A = malo a pamwamba.
Kupanikizika komwe kumachitika ndi madzi mu chubu chaching'ono (P)1) = F1 / TO1.
Kupanikizika komwe kumachitika ndi madzi mu chubu chachikulu (P)2) = F2 / TO2
Kupanikizika kwa madzi mu chubu chaching'ono (P)1) ndi ofanana ndi kuthamanga kwa madzi mu chubu chachikulu (P2).
P1 =P2
F1 / TO1 =F2 / TO2
F1 / 10 masentimita2 = 100 N / 100 masentimita2
F1 / 10 = 1 N
F1 = 10 Newton
Yankho lolondola ndi C.
5. Onani chithunzi chili pansipa!
Ngati dera lopingasa ndi A1 = 0,001 m2 ndi A2 = 0,1 m2 , kenako kukula kwa mphamvu ya kupanikizika pa A2 ndi ...
A. 100 N
B. 1.000 N
C. 10.000 N
D. 100.000 N
Zokambirana
Amadziwika kuti:
Malo ozungulira 1 (A)1) = 0,001 m2
Malo ozungulira 2 (A)2) = 0,1 m2
Mphamvu pa dera lopingasa 1 (F)1) = 100 Newton
Anafunsa kuti: Mphamvu pa dera lopingasa 2 (F)2)
Yankho:
Lamulo la Pascal limati kupanikizika komwe kumayikidwa pamadzimadzi kumafalikira ndi madziwo mbali zonse, komwe mbali zonse zamadzimadzi zimakumana ndi kupanikizika kofanana.
P1 =P2
F1 / TO1 =F2 / TO2
100 N / 0,001 mamita2 = F2 / 0,1m2
100 N / 0,001 = F2 / 0,1
100.000 N = F2 / 0,1
F2 = 10.000 n
Yankho lolondola ndi C.
6. Yang'anani chithunzicho!
Galimoto yolemera 16.000 N imayikidwa pa pistoni B monga momwe chithunzichi chikusonyezera. Kuti galimotoyo inyamule, mphamvu ya F ya… imafunika.
A. 50 N
B. 80 N
C. 200 N
D. 400 N
Zokambirana
Fotokozani mayunitsi onse ku mayunitsi apadziko lonse lapansi
Amadziwika kuti:
Kulemera kwa galimoto (w) = 16.000 N
Malo Ozungulira B (A)B) = 4000 cm2 = 4000 / 10.000 m2 = 4 / 10 m2 = 0,4 m2
Malo A pamwamba (A)A) = 50 cm2 = 50 / 10.000 m2 = 0,005 m2
Anafunsa kuti: Kalembedwe F
Yankho:
Mphamvu F imawerengedwa pogwiritsa ntchito njira ya Pascal.
F/AA = w / AB
F / 0,005 mamita2 = 16.000 N / 0,4 m2
F / 0,005 = 40.000 N
F = (40.000 N)(0,005)
F = 200 Newton
Yankho lolondola ndi C.
7. Yang'anani chithunzi cha chida cha hydraulic chooneka ngati U pansipa!
Kulemera kwa chipika X pa chubu chaching'ono kuti chida cha hydraulic chikhale chokhazikika ndi….
A. 5 N
B. 25 N
C. 10.000 N
D. 25.000 N
Zokambirana
Amadziwika kuti:
Malo a pamwamba pa silinda yaying'ono (A1) = 5 cm2
Malo a pamwamba pa silinda yayikulu (A2) = 100 cm2
Mphamvu yokoka ya chipika pa silinda yayikulu (F)2) = 500 Newton
Funso: Mphamvu yokoka ya chipika pa chubu chaching'ono (F)1)
Yankho:
Chida chomwe chili pachithunzi pamwambapa ndi hydraulic jack. Momwe hydraulic jack imagwirira ntchito imachokera ku lamulo la Pascal. Lamulo la Pascal limati kupanikizika komwe kumayikidwa pamadzimadzi kumafalikira ndi madziwo mbali zonse, ndipo mbali zonse zamadzimadzi zimakumana ndi kupanikizika kofanana.
Pamene pamwamba pa chubu chaching'ono pakanikizidwa pansi, madzi omwe ali mu chubu chaching'ono amakanikizidwanso. Kupanikizika komwe kumachitika ndi madzi omwe ali mu chubu chaching'ono kumapita ku madzi omwe ali mu chubu chachikulu. Madzi omwe ali mu chubu chachikulu amakumana ndi kupsinjika komweko monga madzi omwe ali mu chubu chaching'ono. Mosiyana ndi zimenezi, kupanikizika komwe kumachitika ndi madzi omwe ali mu chubu chachikulu kumapita ku madzi omwe ali mu chubu chaching'ono. Madzi omwe ali mu chubu chaching'ono amakumana ndi kupsinjika komweko monga komwe kumachitika ndi madzi omwe ali mu chubu chachikulu.
Fomula yokakamiza:
P = F/A
Kufotokozera kwa fomula: P = kupanikizika, F = mphamvu, A = malo a pamwamba.
Kupanikizika komwe kumachitika ndi madzi mu chubu chaching'ono (P)1) = F1 / TO1.
Kupanikizika komwe kumachitika ndi madzi mu chubu chachikulu (P)2) = F2 / TO2
Kupanikizika kwa madzi mu chubu chaching'ono (P)1) ndi ofanana ndi kupanikizika kwa madzi mu silinda yayikulu P2).
P1 =P2
F1 / TO1 =F2 / TO2
F1 / 5 masentimita2 = 500 N / 100 cm2
F1 / 5 = 500 N / 100
F1 / 5 = 5 N
F1 = (5)(5) N
F1 = 25 n
Yankho lolondola ndi B.
8.
Samalani ndi dongosolo lotsatira la chitoliro cha Pascal!
Ngati mphamvu yokakamiza F1 = 300 N. Kukula kwa mphamvu F2 kuti chilungamo chichitike ndi….
A. 72 N
B. 1250 N
C. 1500 N
D. 3600 N
Zokambirana
Amadziwika kuti:
Malo a pamwamba pa silinda yaying'ono (A1) = 12 cm2
Malo a pamwamba pa silinda yayikulu (A2) = 50 cm2
Kukula kwa mphamvu ya kupanikizika pa chubu chaching'ono (F)1) = 300 Newton
Funso: Kukula kwa mphamvu ya kupanikizika pa chubu chachikulu (F)2)
Yankho:
Kupanikizika kwa madzi mu chubu chaching'ono (P)1) ndi ofanana ndi kuthamanga kwa madzi mu chubu chachikulu (P2).
P1 =P2
F1 / TO1 =F2 / TO2
300 N / 12 cm2 =F2 / 50 masentimita2
300 N / 12 = F2 / 50
25 N = F2 / 50
F2 = (50)(25) N
F2 = 1250 n
Yankho lolondola ndi B.
9.
Yang'anani chithunzi chotsatira cha chida cha Pascal!
Kukula kwa mphamvu (F) komwe kuyenera kugwiritsidwa ntchito kuti zitsimikizire kuti malo a chidacho ali bwino ndi….
A. 100 Newton
B. 250 Newton
C. 600 Newton
D. 4800 Newton
Zokambirana
Amadziwika kuti:
Malo a pamwamba pa silinda yaying'ono (A1) = 4 cm2
Malo a pamwamba pa silinda yayikulu (A2) = 16 cm2
Kukula kwa mphamvu yokoka pa chubu chachikulu (F)2) = 1000 Newton
Funso: Kukula kwa mphamvu pa chubu chaching'ono (F)1)
Yankho:
Kupanikizika kwa madzi mu chubu chaching'ono (P)1) ndi ofanana ndi kuthamanga kwa madzi mu chubu chachikulu (P2).
P1 =P2
F1 / TO1 =F2 / TO2
F1 / 4 masentimita2 = 1000 N / 16 cm2
F1 / 4 = 1000 N / 16
F1 / 1 = 1000 N / 4
F1 = 1000 N / 4
F1 = 250 n
Yankho lolondola ndi B.
Gwero la funso:
Mafunso a Mayeso a Sayansi ya Sukulu ya Sekondale/Chisilamu cha Sukulu ya Sekondale
Funso Lamulo la Pascal
1. Malo ozungulira a jack iliyonse ya hydraulic ndi 0,03 m2 ndi 0,12 m2Ngati mphamvu yolowera ndi 6 Newtons, kodi mphamvu yotulutsira yayikulu ndi iti?
(24N)
2. Utali wa gawo laling'ono la hydraulic jack ndi 1,5 cm ndipo utali wa gawo lalikulu ndi 20 cm. Kodi mphamvu zingati zomwe zimagwiritsidwa ntchito pa gawo laling'ono la cross-section ponyamula galimoto yolemera makilogalamu 2200 zimagwiritsidwa ntchito?
(121,3N)
3. Kupanikizika kwakukulu pa hydraulic jack ndi 14 atm. Kodi kulemera kwakukulu (kg) komwe kungakwezedwe ndi kotani ngati m'mimba mwake wa chotulutsira ndi 30 cm?
(Makilogalamu 10.224)
