Dzidziso yaTorricelli - matambudziko nemhinduro

Dzidziso yaTorricelli - matambudziko nemhinduro

1. Chubhu ine urefu hwemasendimita zana yakazadzwa nemvura. Buri Q riri pa10 cm kubva pasi. Ndeipi daro rakatarwa (x)?

Zvinozivikanwa:

Kureba pakati pegomba nepamusoro pemvura (h) = 100 cm - 10 cm = 90 cm = 0.9 m

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Kudiwa: Kureba kwe x

Solution:

Kumhanya kwekuyerera kwemvura pagomba

v = kumhanya , g = kumhanyisa nekuda kwegiravhiti , h = chinhambwe chiri pakati pegomba nepamusoro pemvura

Kumhanya kwekuyerera kwemvura pagomba:

Nguva iri mumhepo

Kufamba kwemvura kubva mugomba kuenda pasi ndiko projectile kufambaKufamba kwechinhu chinobuda mugomba kunogona kunzwisiswa nekuongorora zvikamu zvekufamba zvakatwasuka uye zvakamira zvakasiyana. Kufamba kwe x kunoitika nekumhanya kwakafanana uye kufamba kwe y kunoitika nekumhanya kwakafanana kwegiravhiti.

Mudambudziko iri, kufamba kwakamira kunoongororwa sekufamba kwakasununguka.

Verenga nguva mumhepo uchishandisa equation yekufamba kwemahara kwekudonha.

Zvinozivikanwa:

Kureba kwegomba (y) = 10 cm = 0.1 m

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva (t)

Solution:

y = 1/2 gt ^{​​​​2}

0.1 = 1/2 (10) t ²

0.1 = 5 t ²

t ² = 0.1 / 5

t ² = 0.02

t = √0.02 masekonzi

Daro rakatwasuka (x):

Zvinozivikanwa:

Kumhanya kwekutanga (v _o = v _ox ) = 3√2 m/s

Nguva iri mumhepo (t)= √0.02 masekondi

Zvinodiwa: Daro rakatwasuka (x)

Solution:

v = x / t

x = vt = (3√2)(√0.02) = (3)(1.41)(0.14) = 0.59 = 0.6 mamita

2. Tangi rine mvura ine urefu hwemita imwe. Panzvimbo P, pane gomba. Chii chinonzi kumhanya kwemvura pagomba. Kumhanya kunokonzerwa negiravhiti i10 m/s ².

Zvinozivikanwa:

Kureba pakati pegomba nepamusoro pemvura (h) = 100 cm - 80 cm = 20 cm = 0.2 m

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Zvinodiwa: Kumhanya kwekuyerera kwemvura pagomba (v)

Solution:

Kumhanya kwekuyerera kwemvura pagomba:

3. Hombetabhu remagetsi ine mvura uye pane pombi yemvura sezvakaratidzwa mumufananidzo uri pazasi. Kana g = 10 ms^-2, ipapo kumhanya kwemvura kubva mupombi kwava…

Zvinozivikanwa:

Kureba (h) = 85 cm – 40 cm = 45 cm = 0.45 metres

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Zvinodiwa: Kumhanya kwemvura (v)

Solution:

Dzidziso yaT orricelli inoti kumhanya kwemvura nepaburi riri kure ne h kubva pamusoro pemvura kwakaenzana nekumhanya kwekudonha kwemvura kubva pakukwirira kwe h.

Kumhanya kwemvura kunoverengwa uchishandisa fomura yekufamba kwemvura yakasununguka a v _t ² = 2 gh

v _t ² = 2 gh = 2(10)(0.45) = 9

v _t = √9 = 3 m/s

4. Tabhu yakazadzwa nemvura uye pamadziro pane gomba (ona mufananidzo uri pazasi ) . Kumhanya kwemvura inobuda mugomba iri… (g = 10 ms ^-2 )

Zvinozivikanwa:

Kureba (h) = 1.5 m – 0.25 m = 1.25 mamita

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Kudiwa: Kumhanya kwemvura (v)

Solution:

v _t ² = 2 gh = 2(10)(1.25) = 25

v _t = √25 = 5 m/s

5. Tangi rine mvura yakareba kusvika mita imwe (g = 10 ms ^-2 ) uye pamadziro pane gomba rinodonhedza mvura (ona mufananidzo uri pazasi ). Kumhanya kwemvura inobuda mugomba iri...

Zvinozivikanwa:

Kureba (h) = 1 m – 0.20 m = 0.8 mamita

Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s ²

Kudiwa: Kumhanya kwemvura (v)

Solution:

v _t ² = 2 gh = 2(10)(0.8) = 16

v _t = √16 = 4 m/s

1. Dzidziso yaTorricelli inotsanangurei?
   • Pindura: Dzidziso yaTorricelli inobatanidza kumhanya kwemvura inoyerera ichibuda mugomba kusvika pakukwirira kwekoramu yemvura iri pamusoro pegomba, zvichireva kuti mvura yacho yakadzikama, isina kusimba (isina kusimba), uye kuyerera kwayo kusingapindiki.
2. Dzidziso yaTorricelli inotsanangurwa sei nemasvomhu?
   • Pindura: Dzidziso yacho inotsanangurwa se v=√2gh​, apo $v$ kumhanya kwemvura inoyerera, $g$ kukurumidza kunokonzerwa negiravhiti, uye $h$ ndiko kukwirira kwechikamu chemvura chiri pamusoro pegomba.
3. Dzidziso yaTorricelli yakabva pasi pefungidziro dzipi?
   • Pindura: Dzidziso yacho inofungidzira kuti mvura yacho haipindiki uye haina kusimba, kuyerera kwayo kwakadzikama, uye hapana simba rakawedzerwa kana kutorwa kubva mumvura yacho.
4. Kana mudziyo une maburi maviri pakadzika kwakasiyana, kumhanya kwemvura inobuda mumaburi kuchaenzaniswa sei?
   • Pindura: Mvura inobuda mugomba riri pedyo nehwaro ichave nekumhanya kukuru kupfuura mvura inobva mugomba repamusoro. Izvi zvinodaro nekuti kumanikidzwa (uye nokudaro simba rinokwanisa) kwakakura pakadzika zvakadzama.
5. Sei kumhanya kwemvura inoyerera kusingatsamiri pachimiro kana nzvimbo yemuchina?
   • Pindura: Dzidziso yaTorricelli inongotarisa simba rinogona kuwanikwa nekuda kwekukwirira kwekoramu yemvura iri pamusoro pegomba. Chimiro chemudziyo hachichinje kukwirira uku, saka kumhanya kwemvura inobuda kunoramba kwakafanana.
6. Kumhanya chaiko kwemvura inoyerera ichibuda mugomba kunosiyana sei nekufanotaura kwakaitwa nedzidziso yaTorricelli mumamiriro ezvinhu chaiwo?
   • Pindura: Mumamiriro ezvinhu chaiwo, zvinhu zvakaita sekuoma kwemvura, kutenderera, uye chimiro chegomba zvinogona kukanganisa kumhanya chaiko, zvichiwanzoita kuti rive shoma pane zvinofanotaurwa nedzidziso yaTorricelli.
7. Chii chiri hukama huripo pakati pedzidziso yaTorricelli nekuchengetedzwa kwesimba?
   • Pindura: Dzidziso yaTorricelli inobva mukuchengetedzwa kwesimba remakanika. Inoenzanisa simba rinogona kuwanikwa pamusoro pemvura nesimba remakinetic riri pagomba.
8. Kana paine orifice pamusoro pemudziyo wakazara nemvura, dzidziso yaTorricelli inotsanangura sei kumhanya kwemvura inobuda?
   • Pindura: Kureba $h$ pamusoro pegomba raizova zero, saka zvichienderana nedzidziso yaTorricelli, kumhanya kwemvura inobuda kwaizova zero.
9. Kuvapo kwekumanikidzwa kwemhepo kunokanganisa sei kufanotaura kwedzidziso yaTorricelli?
   • Pindura: Dzidziso yaTorricelli inofungidzira kuti mudziyo wacho wakavhurika kuti usvike mumhepo, saka, kumanikidzwa kwemhepo kunoshanda zvakaenzana pamusoro pemvura. Kumanikidzwa uku kunodzimwa kana tichitarisa musiyano wekumanikidzwa pakati pekukwirira kwemvura, saka dzidziso yacho inoramba ichishanda.
10. Chii chinoitika kumhanya kwekubuda kwemvura sezvo mvura iri mumudziyo ichidzikira?

• Pindura: Sezvo huwandu hwemvura huchidzikira, kukwirira $h$ pamusoro pegomba rinodzikira. Zvichienderana nedzidziso yaTorricelli, kumhanya kwekubuda kwemvura kwaizodzikira sezvo v=√2gh​.

Mibvunzo nemhinduro idzi dzinoongorora hwaro, zvazvinoreva, uye mashandisirwo edzidziso yaTorricelli mukuchinjana kwemvura.