Tātai Whakawhanui Roa
He āhuatanga ā-tinana te whānui wera e puta ana ina huri te roa o tētahi mea nā te huringa o te pāmahana. He mea nui te mārama ki tēnei āhuatanga nā te mea he maha ngā whakamahinga mahi a ia i roto i te oranga o ia rā me te ahumahi. Ka matapakihia e tēnei tuhinga te ariā o te whānui wera, te tātai i whakamahia hei tatau, me ngā tauira o ngā whakamahinga o te ao tūturu.
Ariā Taketake o te Whakawhanui Roa
Ka puta te whānui wera nā te mea ka tere ake te neke o ngā matūriki i roto i tētahi mea, ā, ka tawhiti atu i te mea ka piki ake te pāmahana. I te mea ka piki ake te pāmahana o tētahi mea, ka piki ake te kaha nekeneke o ngā matūriki, ka tere ake te neke me te tawhiti atu i te mea ka tawhiti atu. Nō reira, ka whānui te mea, ka roa ake rānei.
I tetahi atu taha, ina heke te pāmahana o tētahi mea, ka pōturi ake te neke o ngā matūriki, ka piri rawa atu, ka whakaiti, ka whakaiti rānei i te roa o te mea. Ka pā tēnei āhuatanga ki te nuinga o ngā rauemi, ahakoa he mea whakarewa, he mea rakau, he mea kirihou rānei.
Tātai Whakawhanui Roa
Ko te tātai taketake mō te tatau i te whakawhanuitanga rārangi ko:
\[ \Delta L = L_0 \alpha \Delta T \]
Kei hea:
– Ko te \( \Delta L \) te panonitanga o te roa (mita).
– Ko te \( L_0 \) te roa tīmatanga o te mea (mita).
– Ko te \( \alpha \) te tauwehenga whānui rārangi o te rauemi (mō ia nekehanga Celsius).
– Ko te \( \Delta T \) te huringa o te pāmahana (ngā nekehanga Celsius).
Ko te tauwehenga whānui rārangi (\( \alpha \)) he pūmau e whakawhirinaki ana ki te momo rauemi. He rerekē tōna uara mō ia rauemi, hei tauira, te rino, te parahi, te konumohe, me ētahi atu.
Ngā Tauira o ngā Tauwehenga Whakawhanui Raina mō ētahi Rauemi
Anei ētahi uara o te tauwehenga whānui raina mō ngā rauemi noa:
– Rino: \( 12 \times 10^{-6} \) ia °C
– Parahi: \( 16.5 \times 10^{-6} \) ia °C
– Konumohe: \( 23 \times 10^{-6} \) ia °C
– Karāhe: \( 8.5 \times 10^{-6} \) ia °C
E whakaatu ana ēnei uara i te nui o te whānui o te rauemi mō ia wae roa mō ia pikinga pāmahana kotahi nekehanga Celsius.
Tauira o te Tātaitanga Whānui Roa
Me kī he tokotoko rino tā tātou, ko te roa tīmatanga he 2 mita i te 20°C. E hiahia ana tātou ki te mōhio kia pēhea te roa o te tokotoko ina piki te pāmahana ki te 40°C. Ka whakamahia e tātou te tātai mō te whakawhanuitanga rārangi:
1. Te roa tīmatanga (\( L_0 \)) = 2 mita
2. Ko te tauwehenga whānui rārangi mō te rino (\( \alpha \)) = \( 12 \times 10^{-6} \) ia °C
3. Te huringa o te pāmahana (\( \Delta T \)) = 40°C – 20°C = 20°C
Mā te whakamahi i te tātai:
\[ \Delta L = L_0 \alpha \Delta T \]
\[ \Delta L = 2 \times 12 \times 10^{-6} \times 20 \]
\[ \Delta L = 0.00048 \text{ mita} \]
Nō reira, ko te huringa o te roa o te pae rino he 0.00048 mita, he 0.48 mirimita rānei. Ko te roa whakamutunga o te pae rino i te 40°C ko:
\[ L = L_0 + \Delta L \]
\[ L = 2 + 0.00048 \]
\[ L = 2.00048 \text{ mita} \]
Taupānga Whakawhanui Roa
He maha ngā whakamahinga o te whakawhanuitanga rārangi i roto i te oranga o ia rā me te ahumahi. Anei ētahi tauira:
1. Ngā Piriti me ngā Ara Rerewē: He āputa whakawhanui ngā piriti me ngā ara rerewē hei whakauru i te whakawhanuitanga rārangi nā ngā huringa pāmahana. Ki te kore he āputa whakawhanui, ka piko, ka hinga rānei te piriti, te rerewē rānei.
2. Ngā Taura Hiko: Ko ngā taura hiko e iri ana i waenga i ngā pou he mea hanga kia whai whakaaro ki te whānui o te roa kia kore ai e whati i te pāmahana teitei, kia kore ai hoki e tino kukū i te pāmahana iti.
3. Te Whakamahana Whakarewa-rua: Ka whakamahia e te whakamahana whakarewa-rua ngā momo konganuku e rua me ngā tauwehenga whānui rerekē. Ina huri te pāmahana, ka piko te whakarewa-rua nā te rerekētanga o te whānui o ngā konganuku e rua, e whakamahia ana hei whakahaere i ngā pūnaha whakamahana, whakamatao rānei.
4. Tāutanga o te Karāhe Matapihi: Ka tāutahia te karāhe matapihi me te whai whakaaro ki te roa o te whakawhanuitanga hei ārai i te ngatata, i te pakaru rānei i ngā huringa pāmahana.
Ngā Take e Pā Ana ki te Whakawhanuitanga o te Roa
Ko ētahi o ngā āhuatanga e pā ana ki te whānui o te roa o tētahi mea:
1. Momo Rauemi: He rerekē te tauwehenga whānui o ia rauemi. He nui ake te tauwehenga o ngā konganuku i ngā rauemi kore-konganuku pērā i te karāhe, te uku rānei.
2. Te Roa Tīmatanga: Ka roa ake te mea, ka nui ake te huringa roa e puta ana mō te huringa pāmahana ōrite.
3. Huringa Pāmahana: Ka nui ake te huringa pāmahana, ka nui ake te whānui rārangi e puta ana.
4. Ngā Āhuatanga Taiao: Ka pā pea ngā āhuatanga pēnei i te pēhanga me te haumākū ki te whānui rārangi, ahakoa he iti ake tō rātou awe i te pāmahana.
Whakamutunga
He āhuatanga nui te whānui wera i roto i te ahupūngao e puta mai ana i ngā huringa pāmahana. He mea nui te mārama ki te tātai whānui wera me ngā āhuatanga e awe ana i tēnei mea mō te whānuitanga o ngā tono mahi, mai i te hanganga o ngā piriti me ngā rēriwe ki te hoahoa o ngā taputapu whare pērā i ngā whakamahana wera. Mā te whakaaro ki te whānui wera, ka taea e tātou te hoahoa me te hanga i ngā hanganga me ngā taputapu haumaru ake, pakari ake, me te whai hua ake.
Mā te mārama ki ngā ariā me ngā whakamahinga taketake o te whakawhānui wera ka āwhina i a tātou ki te wikitoria i ngā wero hangarau i roto i ngā momo mara, ā, ka whakarite hoki kia taea e tātou te urutau ki ngā huringa pāmahana o te ao o ia rā me te ahumahi.
