9 mau laʻana o ke kānāwai o Pascal
1. ʻO ka ʻāpana ʻāpana o kēlā me kēia jack hydraulic he 0,04 m2 a me 0,10 m2Inā he 5 Newtons ka ikaika hoʻokomo, he aha ka ikaika hoʻopuka kiʻekiʻe loa?
Kūkākūkā:
Ua ʻike ʻia:
A1 = 0,04 m2
A2 = 0,10 m2
F1 = 5 N
Nīnau ʻia: F2 ?
Pane:
F1/A1 =F2/A2
5/0,04 = F2/ 0,10
125=F2/ 0,10
F 2 = (125)(0,10) = 12,5 N
2. ʻO ke anawaena o ka ʻāpana liʻiliʻi o kahi jack hydraulic he 2 kenimika a ʻo ke anawaena o ka ʻāpana nui he 25 kenimika. Ehia ka ikaika i hoʻopili ʻia i ka ʻāpana liʻiliʻi e hāpai i kahi kaʻa me ke kaumaha o 2000 kg?
Kūkākūkā:
Ua ʻike ʻia:
r1 = 2 kenimika = 0,02 mika
r2 = 25 kenimika = 0,25 mika
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/s)2) = 19600 N
Nīnau ʻia: F1 ?
Pane:
F1/A1 =F2/A2
F1/0,001256 = 19600/0,19625
F1/0,001256 = 99.872,6
F 1 = 125,44 N
3. ʻO ke kaomi anakahi kiʻekiʻe loa ma luna o kahi jack hydraulic he 10 atm. He aha ke kaumaha kiʻekiʻe loa (kg) e hiki ke hāpai ʻia inā he 20 cm ke anawaena o ka puka?
Kūkākūkā:
Ua ʻike ʻia:
1 atm = 1,013 x 105 M / m2
p ana ʻana = 10 atm = (10)(1,013 x 105 M / m2) = 10,13 x 105 M / m2
F1 = 10,13x105 M / m2
A1 = 1 m2
A2 = (3,14)(0,10 mika)2 = 0,0314 m2
Nīnau ʻia: F2 ?
Pane:
p = F/A a i ʻole F1/A1 =F2/A2
1013000/1 = F2/ 0,0314
1.013.000=F2/ 0,0314
F 2 = 31.808 N
Ka nuipa nui loa:
w = mg
31.808 = mika (9,8)
m = 3.245,7 kg
4. E nānā i ke kiʻi ma lalo nei!
ʻĀpana ʻāpana kea A 1 = 10 cm 2
ʻĀpana ʻāpana kea A 2 = 100 cm 2
ʻO ka ikaika (F 1 ) e pono e hoʻopili ʻia e hoʻopaʻa iā F 2 = 100 N i kaulike ai ka ʻōnaehana he …
A. 1.000 Newtons
B. 100 Newton
C. 10 Newton
D. 1 Newton
Pahana
Ua ʻike ʻia:
ʻĀpana ʻāpana kea 1 (A 1 ) = 10 kenimika 2
ʻĀpana ʻāpana kea 2 (A 2 ) = 100 cm 2
Ikaika 2 (F 2 ) = 100 Newtons
Nīnau ʻia: Ikaika 1 (F 1 )
Pane:
ʻO ka mea hana ma ke kiʻi ma luna he jack hydraulic. Hoʻokumu ʻia ke ʻano o ka hana ʻana o ka jack hydraulic ma ke kānāwai o Pascal. ʻŌlelo ke kānāwai o Pascal ua hoʻoili ʻia ke kaomi i hoʻopili ʻia i kahi wai e ka wai i nā ʻaoʻao āpau, me nā ʻāpana āpau o ka wai e ʻike nei i ka nui like o ke kaomi.
Haʻilula kaomi:
P = F / A
Wehewehe ʻana i ke ʻano hana: P = kaomi, F = ikaika, A = ʻāpana ʻili.
ʻO ke kaomi i ʻike ʻia e kahi wai i loko o kahi paipu liʻiliʻi (P1) = F1 / TO1.
ʻO ke kaomi i ʻike ʻia e kahi wai i loko o kahi paipu nui (P2) = F2 / TO2
ʻO ke kaomi o ka wai i loko o ka paipu liʻiliʻi (P1) ua like ia me ke kaomi o ka wai i loko o ka paipu nui (P2).
P1 = P2
F1 / TO1 =F2 / TO2
F 1 / 10 kenimika 2 = 100 N / 100 kenimika 2
F 1 / 10 = 1 N
F 1 = (10)(1 N)
F 1 = 10 Newton
ʻO C ka pane pololei.
5. E nānā i ke kiʻi ma lalo!
Inā ʻo ka ʻāpana ʻāpana o A 1 = 0,001 m2 a me A 2 = 0,1 m2 , a laila ʻo ka nui o ka ikaika kaomi ma A 2 ...
A. 100 N
B. 1.000 N
C. 10.000 N
D. 100.000 N
Pahana
Ua ʻike ʻia:
ʻĀpana ʻāpana kea 1 (A 1 ) = 0,001 m 2
ʻĀpana ʻāpana kea 2 (A 2 ) = 0,1 m 2
Ka ikaika ma ka ʻāpana ʻāpana 1 (F 1 ) = 100 Newton
Nīnau: Ikaika ma ka ʻāpana ʻāpana 2 (F 2 )
Pane:
Ua ʻōlelo ke Kānāwai o Pascal ua hoʻoili ʻia ke kaomi i hoʻopili ʻia i kahi wai e ka wai i nā ʻaoʻao āpau, kahi e ʻike ai nā ʻāpana āpau o ka wai i ka nui like o ke kaomi.
P1 = P2
F1 / TO1 =F2 / TO2
100 N / 0,001 m² = F² / 0,1 m²
100 N / 0,001 = F 2 / 0,1
100.000 N = F 2 / 0,1
F 2 = (0,1)(100.000 N)
F 2 = 10.000 N
ʻO C ka pane pololei.
6. E nānā i ke kiʻi!
Ua kau ʻia kekahi kaʻa me ke kaumaha he 16.000 N ma luna o ka piston B e like me ka mea i hōʻike ʻia ma ke kiʻi. No ka hāpai ʻana i ke kaʻa, pono ka ikaika F o….
A. 50 N
B. 80 N
C. 200 N
D. 400 N
Pahana
E hōʻike i nā anakahi āpau i nā anakahi honua
Ua ʻike ʻia:
Kaumaha kaʻa (w) = 16.000 N
ʻIli honua B (A B ) = 4000 kenimika = 4000 / 10.000 m² = 4 / 10 m² = 0,4 m²
ʻĀpana ʻili A (A A ) = 50 kenimika 2 = 50 / 10.000 m 2 = 0,005 m 2
Nīnau ʻia: Mana F
Pane:
Ua helu ʻia ka ikaika F me ka hoʻohana ʻana i ke ʻano kānāwai o Pascal.
F / A A = w / A B
F / 0,005 m² = 16.000 N / 0,4 m²
F / 0,005 = 16.000 N / 0,4
F / 0,005 = 40.000 N
F = (40.000 N)(0,005)
F = 200 Newton
ʻO C ka pane pololei.
7. E nānā i ke kiʻi o ka mea hana hydraulic ʻano U ma lalo!
ʻO ke kaumaha o ka poloka X ma ka ʻōmole liʻiliʻi e mālama i ke kaulike o ka mea hana hydraulic….
A. 5 N
B. 25 N
C. 10.000 N
D. 25.000 N
Pahana
Ua ʻike ʻia:
ʻO ka ʻili o ka cylinder liʻiliʻi (A1) = 5 kenimika2
ʻO ka ʻili o ka cylinder nui (A2) = 100 kenimika2
ʻO ka ikaika o ke kaumaha o ka poloka ma luna o ka cylinder nui (F2) = 500 Newton
Nīnau: ʻO ka ikaika o ke kaumaha o ka poloka ma luna o ka paipu liʻiliʻi (F1)
Pane:
ʻO ka mea hana ma ke kiʻi ma luna he jack hydraulic. Hoʻokumu ʻia ke ʻano o ka hana ʻana o ka jack hydraulic ma ke kānāwai o Pascal. ʻŌlelo ke kānāwai o Pascal ua hoʻoili ʻia ke kaomi i hoʻopili ʻia i kahi wai e ka wai i nā ʻaoʻao āpau, me nā ʻāpana āpau o ka wai e ʻike nei i ka nui like o ke kaomi.
Ke kaomi ʻia ka ʻili o ka paipu liʻiliʻi i lalo, ua kaomi pū ʻia ka wai i loko o ka paipu liʻiliʻi. Hoʻoili ʻia ke kaomi i ʻike ʻia e ka wai i loko o ka paipu liʻiliʻi i ka wai i loko o ka paipu nui. Loaʻa i ka wai i loko o ka paipu nui ke kaomi like me ka wai i loko o ka paipu liʻiliʻi. ʻO ka ʻaoʻao ʻē aʻe, hoʻoili ʻia ke kaomi i ʻike ʻia e ka wai i loko o ka paipu nui i ka wai i loko o ka paipu liʻiliʻi. Loaʻa i ka wai i loko o ka paipu liʻiliʻi ke kaomi like me ka mea i ʻike ʻia e ka wai i loko o ka paipu nui.
Haʻilula kaomi:
P = F / A
Wehewehe ʻana i ke ʻano hana: P = kaomi, F = ikaika, A = ʻāpana ʻili.
ʻO ke kaomi i ʻike ʻia e kahi wai i loko o kahi paipu liʻiliʻi (P1) = F1 / TO1.
ʻO ke kaomi i ʻike ʻia e kahi wai i loko o kahi paipu nui (P2) = F2 / TO2
ʻO ke kaomi o ka wai i loko o ka paipu liʻiliʻi (P1) ua like ia me ke kaomi o ke wai i loko o ka cylinder nui P2).
P1 = P2
F1 / TO1 =F2 / TO2
F1 / 5 knm2 = 500 N / 100 kenimika2
F1 / 5 = 500 N / 100
F1 / 5 = 5 N
F1 = (5)(5) N
F1 = 25 N
ʻO ka pane pololei ʻo B.
8.
E hoʻolohe i ka hoʻolālā paipu Pascal ma lalo nei!
Inā ʻo ka ikaika compressive F1 = 300 N. Ka nui o ka ikaika F2 i mea e loaʻa ai ke kaulike….
A. 72 N
B. 1250 N
C. 1500 N
D. 3600 N
Pahana
Ua ʻike ʻia:
ʻO ka ʻili o ka cylinder liʻiliʻi (A1) = 12 kenimika2
ʻO ka ʻili o ka cylinder nui (A2) = 50 kenimika2
ʻO ka nui o ka ikaika kaomi ma luna o ka paipu liʻiliʻi (F1) = 300 Newton
Nīnau: ʻO ka nui o ka ikaika kaomi ma luna o ka paipu nui (F2)
Pane:
ʻO ke kaomi o ka wai i loko o ka paipu liʻiliʻi (P1) ua like ia me ke kaomi o ka wai i loko o ka paipu nui (P2).
P1 = P2
F1 / TO1 =F2 / TO2
300 N / 12 kenimika2 =F2 / 50 knm2
300 N / 12 = F2 / 50
25 N = F2 / 50
F2 = (50)(25) N
F2 = 1250 N
ʻO ka pane pololei ʻo B.
9.
E nānā i ke kiʻi ma lalo nei o ka mea hana a Pascal!
ʻO ka nui o ka ikaika (F) e pono e hoʻopili ʻia e hōʻoia i ke kaulike o ke kūlana o ka mea hana….
A. 100 Newtons
B. 250 Newton
C. 600 Newton
D. 4800 Newton
Pahana
Ua ʻike ʻia:
ʻO ka ʻili o ka cylinder liʻiliʻi (A1) = 4 kenimika2
ʻO ka ʻili o ka cylinder nui (A2) = 16 kenimika2
ʻO ka nui o ke koʻikoʻi ma luna o ka paipu nui (F2) = 1000 Newton
Nīnau: ʻO ka nui o ka ikaika ma luna o ka paipu liʻiliʻi (F1)
Pane:
ʻO ke kaomi o ka wai i loko o ka paipu liʻiliʻi (P1) ua like ia me ke kaomi o ka wai i loko o ka paipu nui (P2).
P1 = P2
F1 / TO1 =F2 / TO2
F1 / 4 knm2 = 1000 N / 16 kenimika2
F1 / 4 = 1000 N / 16
F1 / 1 = 1000 N / 4
F1 = 1000 N / 4
F1 = 250 N
ʻO ka pane pololei ʻo B.
Puna nīnau:
Nā Nīnau Hoʻokolohua ʻEpekema Lahui no ke Kula Kiʻekiʻe Haʻahaʻa/Kula Kiʻekiʻe ʻIslama
Nā nīnau no ke kānāwai o Pascal
1. ʻO ka ʻāpana ʻāpana o kēlā me kēia jack hydraulic he 0,03 m2 a me 0,12 m2Inā he 6 Newtons ka ikaika hoʻokomo, he aha ka ikaika hoʻopuka kiʻekiʻe loa?
(24 ʻĀkau)
2. ʻO ke anawaena o ka ʻāpana liʻiliʻi o kahi jack hydraulic he 1,5 kenimika a ʻo ke anawaena o ka ʻāpana nui he 20 kenimika. Ehia ka ikaika i hoʻopili ʻia i ka ʻāpana liʻiliʻi e hāpai i kahi kaʻa me ke kaumaha o 2200 kg?
(121,3 ʻĀkau)
3. ʻO ke kaomi anakahi kiʻekiʻe loa ma luna o kahi jack hydraulic he 14 atm. He aha ke kaumaha kiʻekiʻe loa (kg) e hiki ke hāpai ʻia inā he 30 cm ke anawaena o ka puka?
(10.224kg)
