1. Haʻalulu kekahi mea me ke alapine (frequency) o 5 Hz i ka ʻākau a me ka hema. Neʻe ka mea mai ke kiko kaulike a i ka neʻe nui loa ma ka ʻākau. E hoʻoholo i ka manawa e pono ai e hiki i ka neʻe nui loa ma ka ʻākau i nā manawa he ʻumikumamākahi.
H. 2.05
B. 2.20
C. 2.25
D. 2.50
ʻIke ʻia:
Alapine (f) = ka nui o ka haʻalulu no 1 kekona = 5 Hz
Ka wā (T) = ka manawa e hana ai i hoʻokahi haʻalulu = 1/f = 1/5 = 0.2 kekona
Makemake ʻia: ʻO ka manawa e pono ai e hiki i ka neʻe ʻana kiʻekiʻe loa i ka ʻākau he ʻumikumamākahi manawa
Lōlā:
Ke ʻano o ka haʻalulu o ka mea:
(1 haʻalulu): B → C → B → A → B
No hoʻokahi haʻalulu, hana ka mea i ʻehā mau haʻalulu ʻo ia hoʻi ʻo B a i C, C a i B, B a i A, A a i B. ʻO ka manawa e pono ai no hoʻokahi haʻalulu he 0.2 kekona / 4 = 0.05 kekona.
ʻO ka manawa e pono ai e hiki i ka neʻe ʻana kiʻekiʻe loa i ka ʻākau he ʻumikumamākahi manawa = (10 x 0.2 kekona) + 0.05 kekona = 2 kekona + 0.05 kekona = 2.05 kekona.
ʻO ka pane pololei ʻo A.
2. Kau ʻia kahi pūnāwai me kahi mea a hoʻoluliluli ʻia. No ka pāpālua ʻana o ke alapine haʻalulu i ke alapine haʻalulu mua, a laila hoʻololi ʻia ke kaumaha o ka mea i…
A. pālua ka nuipa o ka ukana mua
B. ʻehā manawa o ke kaumaha o ka ukana mua
C. ka hapalua o ka manawa kaumaha ukana
D. hapaha o ke kaumaha ukana mua
Lōlā:
ʻO ke kaulike o ke alapine (frequency) o ka haʻalulu o ka pūnāwai:
f = alapine (frequency), k = paʻa mau, m = nuipa o ka mea
ʻO ke alapine (f) o ka haʻalulu o ka pūnāwai inā k = 1 manawa, m = 1 manawa:
No ke alapine (frequency) o (f) ka haʻalulu o ka pūnāwai e pālua ka nuipa (m) ua hoʻololi ʻia i 0.25 mau manawa a i ʻole 1/4 mau manawa:
ʻO D ka pane pololei.
3. Ua kau ʻia kahi pūnāwai me kahi k mau = 1000 N/m me kahi mea me ke kaumaha o 400 grams. Huki ʻia ka mea i ka ʻākau a hiki i 5 cm, a laila hoʻokuʻu ʻia, no laila he mea maʻalahi ka oscillating harmonics . E hoʻoholo i ka amplitude a me ke alapine o ka oscillation o ka mea.
ʻIke ʻia:
ʻO ke kūpaʻa o ka pūnāwai (k) = 1000 N/m
Ka nuipa o ka mea (m) = 400 grams = 0.4 kg
Ka nui (Δx) = 5 kenimika = 0.05 m
Makemake ʻia: Amplitude a me ke alapine (frequency) o nā oscillations
Lōlā:
ʻO ke amplitude o ka oscillation o ka pūnāwai = Δx = 5 kenimika.
ʻO ke alapine (frequency) o nā oscillations:
ʻO ka pane pololei ʻo B.
