12 Ngā tauira o ngā pātai mīhini māmā
1. Tirohia te pikitia o te pūreirei pumau i te taha! Hei hiki ake, me whakamahi te kaha F.
rite te rahi ki…
A. 50 N
B. 100 N
C. 200 N
D. 1000 N
Kōrero
Taumaha kawenga = 100 Newton. Hei hiki i te kawenga, me whakamahi te kaha iti rawa o te 100 Newton.
Ko te whakautu tika ko B.
2. Tirohia te pikitia!
Ko te painga ā-pūkaha o te rīwhi ko…
A. 1
B. 1,5
C. 2,5
D. 10
Kōrero
E mōhiotia ana:
Taumaha (w) = 75 Newton
Te Kaha (F) = 7,5 Newton
Ringa Mana (LK) = 50 cm
Ringa Utaina (LB) = 5 cm
I pātaihia: Painga ā-mīhini (KM)
Whakautu:
Ko te tātai mō te painga ā-pūkaha o te rīwhi:
KM = w / F, KM rānei = LK/LB
Ngā Mōhiotanga: KM = painga ā-mīhini, w = taumaha kawenga, F = kaha, LK = ringa mana, LB = ringa kawenga.
Ka tatauhia te painga ā-pūkaha o te rīwhi mā te whakamahi i te tātai i runga ake nei:
KM = w/F = 75 Newton / 7,5 Newton = 10 rānei
KM = LK/LB = 50 henimita /5 henimita = 10
Ko te whakautu tika ko D.
3. Tirohia te pikitia o te rīwhi e whai ake nei!
Ko te kaha e whakamahia ana hei hiki i te toka ko…
A. 2.250 Newton
B. 1.500 Newton
C. 750 Newton
D. 500 Newton
Kōrero
E mōhiotia ana:
Taumaha kawenga (w) = 1500 Newton
Te ringa kawenga (Lb) = 0,5 mita
Te ringa mana (Lk) = 1,5 mita
I pātaihia: Te kaha (F)
Whakautu:
Ko te tātai mō te painga ā-pūkaha o te rīwhi:
Kiromita = w / F, Kiromita rānei = Lk/Lb
Whakaahuatanga tātai:
Km = painga ā-pūkaha, w = taumaha kawenga, F = kaha, Lk = ringa mana, Lb = ringa kawenga.
Painga ā-mīhini:
Kiromita = Rk/Pauna = 1,5/0,5 = 3
Kāhua nui:
Kiromita = w / F
F = w / Kiromita
F = 1500 Ngā Niutoni / 3
F = 500 Newton
Ko te whakautu tika ko D.
4. Tirohia te pikitia!
O ngā mīhini māmā e whā i runga ake nei, ko te mea e whakamahi ana i te mātāpono o te papa whāiti ko...
A. 1 me te 2
B. 1 me te 3
C. 2 me te 3
D. 3 me te 4
Kōrero
He taputapu te mīhini māmā hei whakangāwari i te mahi a te tangata. Hei tauira, ki te mea he uaua ki te hiki i tētahi mea ki tētahi teitei, ka taea te whakamahi i tētahi papa piko. He iti ake te kaha e hiahiatia ana mō te pana i tētahi mea i te papa piko i tērā i te hiki tika. I tēnei wā, ka neke te mea i te wā e tū tonu ana te papa piko.
Ko te papa whakarara i te ahua i runga ake nei ko papa whakarara he mea tū tonu. Kei reira ngā papa piko he mīhini māmā ka taea te neke, arā, ngā tīwiri (1) me ngā poro. Ko ngā tauira o ngā poro ko ngā toki (2), ngā maripi me ngā whao. I tēnei wā, kei te tū tonu te mea i te mea e neke ana te papa piko.
Ko te whakautu tika ko A.
5. Ko te mīhini māmā e whai ake nei e whakamahi ana i te kaupapa o te rīwhi ko...
Kōrero
Ko tētahi momo mīhini māmā ko te rīwhi. He taputapu te rīwhi e whakanui ana i te kaha, ā, he nui ake te kaha e puta mai ana i te kaha e tukuna ana. E toru ngā momo rīwhi, arā, ko ngā rīwhi akomanga tuatahi, ko ngā rīwhi akomanga tuarua, me ngā rīwhi akomanga tuatoru. Ko te āhuatanga o te rīwhi akomanga tuatahi ko te tūnga o te pūtahi i waenganui i te kaha me te kawenga, hei tauira, he kutikuti me he plier. Ko te āhuatanga o te rīwhi akomanga tuarua ko te tūnga o te kawenga i waenganui i te pūtahi me te kaha, hei tauira, he unu whao me he tāpa. Ko te āhuatanga o te rīwhi akomanga tuatoru ko te tūnga o te kaha i waenganui i te kawenga me te pūtahi, hei tauira, he paraihe.
Ko te Pikitia B he tauira o tētahi rīwhi akomanga tuarua, kei waenganui i te pūmau (te wira) me te mana (te kaha hiki me te kaha pana tangata) te kawenga.
Ko te whakautu tika ko B.
6. He rite tonu te kaupapa mahi a te mīhini māmā e whai ake nei ki te mīhini māmā i runga ake nei, arā...
Kōrero
Ko te mīhini māmā i te ahua i runga ake nei he rīwhi. He taputapu whakanui kaha te rīwhi, ā, he nui ake te kaha e puta mai ana i te kaha e whakamahia ana. E toru ngā momo rīwhi: ngā rīwhi akomanga tuatahi, ngā rīwhi akomanga tuarua, me ngā rīwhi akomanga tuatoru.
Ko te āhuatanga o te rīwhi akomanga tuatahi ko te tūnga o te pūmau i waenganui i te kaha me te kawenga, hei tauira, he rīwhi, he kutikuti me he pliers.
Ko te āhuatanga o te rīwhi akomanga tuarua ko te kawenga kei waenganui i te pūtahi me te kaha, hei tauira he mīhini unu whao me he mīhini tāpara.
Ko te āhuatanga o te rīwhi akomanga tuatoru ko te kaha kei waenganui i te kawenga me te pūmau, hei tauira, he paraihe.
Ko te ahua o te pātai i runga ake nei he rīwhi, ā, he mīhini māmā noa iho e mahi ana i runga i te mātāpono kotahi me te rīwhi, arā, he kutikuti.
Ko te whakautu tika ko C.
7. Tirohia te kēmu pīhi e whakaaturia ana i te pikitia e whai ake nei!
He nui ake te papatipu o te tamaiti A i tō te tamaiti B. Kia taurite ai te pīrori, ko te tūranga tika ko...
A. Kua nekehia te pūwāhi T ki te pūwāhi P
B. Ka neke te tamaiti B ki te pūwāhi R
C. Ka neke te tamaiti A ki te pūwāhi P
D. Ka neke te tamaiti B ki te pūwāhi Q
Kōrero
He tauira o tētahi mīhini rīwhi māmā te pīoioi. Ko te tātai mō tōna painga ā-pūkaha ko:
KM = w lb = F lk
Ngā Mōhiohio:
KM = painga ā-mīhini,
w = kawenga
lb = ringa kawenga = te tawhiti i waenganui i te kawenga me te pūtahi. Ko te pūtahi i te pikitia ko T
F = mana
lk = ringa mana = te tawhiti i waenga i te mana me te pūtahi. Ko te pūtahi i te ahua ko T
I runga i te tātai i runga ake nei, kia rite ai te hua o te kawenga (w) me te ringa kawenga (lb) ki te hua o te kaha (F) me te ringa kaha (lk), kāti, ki te nui te kawenga, ā, he iti te kaha, me iti te ringa kawenga (lb) me te ringa kaha (lk).
Tirohia te ahua i runga ake nei. Mena he nui ake te kawenga o A, ā, he iti ake te kaha o B, ka taurite te āhua ina iti te ringa kawenga, ā, he nui te ringa kaha.
Ka iti haere te ringa kawenga i muri i te nekehanga o te tamaiti A ki P.
Ko te whakautu tika ko C.
8.
Tirohia te pikitia i raro nei!
O ngā papa whakarara e whā i runga ake nei, ko te mea he rite te painga ā-pūkaha e whakaaturia ana i te ahua nama….
A. (1) me (2)
B. (1) me (3)
C. (2) me (4)
D. (3) me (4)
Kōrero
He mīhini māmā te papa piko. He taputapu ngā mīhini māmā hei āwhina i te tangata ki te mahi i ngā mahi. Ka whakamahia ngā papa piko hei whakangāwari ake i te hiki i ngā mea ki tētahi teitei.
Ko te painga ā-pūkaha o tētahi papa hīkoi ko te ōwehenga o te roa o te papa hīkoi ki te teitei o te papa hīkoi.
Painga ā-pūkaha o tētahi papa piko 1 = 5 cm / 2 cm = 2,5
Painga ā-pūkaha o tētahi papa piko 2 = 3 cm / 2 cm = 1,5
Painga ā-pūkaha o tētahi papa piko 3 = 3 cm / 1 cm = 3
Painga ā-pūkaha o tētahi papa piko 4 = 12 cm / 4 cm = 3
E whakaaturia ana te painga ā-pūkaha ōrite e ngā whakaahua (3) me (4).
Ko te whakautu tika ko D.
9.
He rite ngā rahi o ētahi papa piko ki te pikitia.
Ko te mea he rite te painga ā-pūkaha ko te papa hīnaki….
A. (1) me (2)
B. (1) me (3)
C. (2) me (4)
D. (3) me (4)
Kōrero
Painga ā-pūkaha o te papa piko 1 = 3,2 m / 80 cm = 320 cm / 80 cm = 4
Painga ā-pūkaha o te papa piko 2 = 3,6 m / 90 cm = 360 cm / 90 cm = 4
Painga ā-pūkaha o te papa piko 3 = 3 m / 120 cm = 300 cm / 120 cm = 2,5
Painga ā-pūkaha o te papa piko 4 = 4 m / 125 cm = 400 cm / 125 cm = 3,2
E whakaaturia ana te painga ā-pūkaha ōrite e ngā whakaahua (1) me (2).
Ko te whakautu tika ko A.
10.
Tirohia te pikitia e whai ake nei o tētahi papa whāiti!
Ko te papa piko e rite ana te painga ā-pūkaha ko….
A. (1) me (2)
B. (1) me (3)
C. (2) me (3)
D. (3) me (4)
Kōrero
Painga ā-pūkaha o te papa piko 1 = 3 m / 1,2 m = 2,5
Painga ā-pūkaha o te papa piko 2 = 5 m / 2 m = 2,5
Painga ā-pūkaha o te papa piko 3 = 4 m / 1,5 m = 2,6
Painga ā-pūkaha o te papa piko 4 = 3,6 m / 1,2 m = 3
E whakaaturia ana te painga ā-pūkaha ōrite e ngā whakaahua (1) me (2).
Ko te whakautu tika ko A.
11. Ngā mīhini māmā
Tirohia te pikitia o te rīpene e whai ake nei.
Tawhiti AB = BC = CD = DE, ko te nui o te kaha me pā ki te pūwāhi E kia taurite ai te rīwhi ko…
A. 300 N
B. 450 N
C. 750 N
D. 900 N
Kōrero
E mōhiotia ana:
AB = BC = CD = DE = l
Ringa kawenga (Lb) = l
Ringa mana (Lk) = 3l
Taumaha kawenga (w) = 900 Newton
I pātaihia: Te kaha (F)
Whakautu:
Painga ā-mīhini:
Kiromita = Rk/Lb = 3l/l = 3
Kāhua nui:
Kiromita = w / F
F = w / Kiromita
F = 900 Ngā Niutoni / 3
F = 300 Newton
Ko te whakautu tika ko A.
12. Tirohia te pikitia o te rīwhi i raro nei!
Kātahi ka nekehia te kawenga kia 10 cm te tata atu ki te pūmau. Hei pupuri i te taurite o te rīwhi, me...
A. tāpiri 54 N
B. tangohia te 64 N
C. tāpiri atu ki te 75 N
D. tangohia te 96 N
Kōrero
Tātaihia te ringa mana (Lk)
E mōhiotia ana:
Te ringa kawenga (Lb) = 25 cm
Taumaha kawenga (w) = 480 Newton
Te kaha (F) = 160 N
I pātaihia: Ringa mana (Lk)
Whakautu:
Painga ā-mīhini (Km):
Km = w / F = 480 Newton / 160 N = 3
Ringa mana (Lk):
Kiromita = Rk/Lb
3 = Lk/25 henimita
Rk = (3)(25 henimita)
Rk = 75 henimita
Tātaihia te rahi o te kaha (F)
E mōhiotia ana:
Ringa kawenga (Lb) = 25 cm – 10 cm = 15 cm
Taumaha kawenga (w) = 480 Newton
Ringa mana (Lk) = 75 cm
I pātaihia: Te kaha (F)
Whakautu:
Painga ā-mīhini (Km):
Kiromita = Rk/Lb
Kiromita = 75 henimita / 15 henimita
Kiromita = 5
Te rahi o te kaha (F):
Kiromita = w / F
F = w / Kiromita
F = 480 Ngā Niutoni / 5
F = 96 Newton
Kia taurite ai te tūnga o te rīwhi, ka whakaitihia te kaha mā te 64 Newton (160 N – 96 N).
Ko te whakautu tika ko B.
Pūtake pātai:
Ngā Pātai Whakamātautau Pūtaiao ā-Motu mō te Kura Tuarua/Kura Tuarua Ihirama
