Ngā tohutohu mō te whakamātautau ture a Archimedes
Ko te whāinga o te whakamātautau ture a Archimedes:
– Ka taea e ngā ākonga te ine i te rōrahi me te taumaha o te wai kua nekehia e tētahi mea kua rukuhia ki te wai.
– Ka taea e ngā ākonga te mōhio me te mārama ki te ture a Ākimete
Ngā taputapu me ngā rauemi:
– Ipu rahi-waenga (1)
– Ipu iti (1)
– Teinamōmita (1)
– Utaina (1)
- Hau
Ngā taahiraa whakamātautau:
(Whakamātautau ki te tirotiro i te rahinga kawenga)
– Ringihia te wai ki roto i tētahi ipu rahi-waenga kia puea rawatia.
– Me whakatata te ipu iti ki te ipu rahi-waenga.
– Tāpirihia mārire te taumaha ki roto i tētahi ipu rahi-waenga kua kī tonu i te wai.
– I muri i te whakatakotoranga o te utanga ki roto i tētahi ipu rahi-waenga, ka maringi te wai. Kātahi ka ringihia te wai i maringi ki roto i tētahi ipu iti.
– Inehia te nui o te wai i maringi. Mena ka whakamahia he ngongo ine, he ipu tauine rānei, he tauine kei te pakitara o te ngongo. Ko te rārangi e tū tata ana ki te mata o te wai = te nui o te wai i maringi. Rōrahi (V) = ……… mita pūtoru (m3)
– Ki te kore koe e whakamahi ana i te rango kua tohua, ka taea te whakatau i te rōrahi o te wai mā te whakamahi i te tikanga e whai ake nei. Inehia te porowhita o te ipu. Mena he porowhita te porowhita o te ipu, tatauhia te radius mā te whakamahi i te tātai porowhita. Mena he tapawhā, he tapawhā hāngai rānei te porowhita o te ipu, tatauhia te roa me te whānui mā te whakamahi i te tātai porowhita mō te tapawhā, te tātai porowhita rānei mō te tapawhā hāngai. Tuhia ō tataunga. Ko te radius o te ipu (r) = ……… mita, ko te roa rānei o te ipu (p) = …….. mita. Ko te whānui o te ipu (l) = ……… mita
– Inehia te teitei o te mata o te wai mā te whakamahi i tētahi taputapu ine. Teitei (t) = ……… mita
– Whakamahia te tātai rōrahi hei tatau i te rōrahi wai i maringi. Ka whakarerekētia te tātai rōrahi ki te āhua o te rango. Rōrahi (V) = ……… mita pūtoru (m3)
Me whakaatu ngā waeine katoa ki ngā waeine o te ao.
(Te tatau i te rahi o te kaha pōrewarewa)
Tātaihia te rahi o te kaha pōturi mā te whakamahi i te tātai kaha pōturi:
FA = g V = (1000)(9,8)(V) = (9800)(……..) = ……… Newton.
Ngā Mōhiohio:
FA = te kaha pōrewarewa, = te mātotoru o te wai = 1000 kg/m3, g = te whakaterenga nā te kaha ā-papatipu = 9,8 m/s2.
(He whakamātautau hei tirotiro i te taumaha o te wai i maringi)
– Ringihia te wai ki roto i tētahi ipu rahi-waenga kia puea rawatia.
– Inehia te taumaha o tētahi ipu iti mā te whakamahi i tētahi tauine (m = ……… kirokaramu)
– Me whakatata te ipu iti ki te ipu rahi-waenga.
– Tāpirihia mārire te taumaha ki roto i tētahi ipu rahi-waenga kua kī tonu i te wai.
– I muri i te whakatakotoranga o te utanga ki roto i tētahi ipu rahi-waenga, ka maringi te wai. Kātahi ka ringihia te wai i maringi ki roto i tētahi ipu iti.
– Inehia te taumaha o tētahi ipu iti kei roto nei te wai i maringi (m' = ……….kirokaramu)
– Te taumaha o te wai i maringi = m' – m = ……… kirokaramu
– Tātaihia te taumaha o te wai i maringi. Whakamahia te uara whakaterenga ā-papatipu toharite = g = 9,8 m/s2.
w = (m' – m)(9,8) = ………….Newton
Whakatau:
Whakautua ngā pātai e whai ake nei i runga i ngā whakamātautau i whakahaerehia e koe.
– E hia te rahi o te kaha pōrewarewa? FA = ………… Newton
– E hia te nui o te wai i maringi? w = ……….. Ngā Newton
– He rite tonu te kaha o te pōrewarewa ki te taumaha o te wai i maringi, he tata rite rānei?
Mena koinā, kua oti pai tāu whakamātautau me ngā tataunga. Mena he rerekē rawa te rahi o te kaha pōrewarewa i te taumaha o te wai kua nekehia, kāore i oti pai tāu whakamātautau me ngā tataunga.
Ko te rahi o te kaha pōrewarewa he ōrite ki te taumaha o te wai i maringi = te ture a Ākirīmete.
Ngā tauira pātai mō te ture a Archimedes dan soal latihan hukum Archimedes
