Nā nīnau hoʻohālike e pili ana i nā nalu mechanical

13 mau laʻana o nā nalu mīkini

1. ʻOkoʻa pae o nā nalu transverse

E nānā i ke kiʻi nalu sinusoidal ma lalo nei !

Laʻana o nā Nalu Mekanika 1

Inā he 80 kenimika ka lōʻihi o ka nalu o ka sinusoid ma luna, a laila ʻo ke kiko nona ka ʻokoʻa pae o ¾ ʻo ia…

A. P me Q

ʻO B. P me R

ʻO C. P me S

D. Q me S

E. R me S

Pahana

PQ = 3/4 nalu

PR = 1 1/2 = 1,5 mau nalu

PS = 2 mau nalu

QS = 1 1/4 = 1,25 mau nalu

RS = 1/2 nalu

ʻO A ka pane pololei.

2. Nā paipu ʻōkana hāmama a pani ʻia

Ua hoʻolako ʻia ʻelua mau paipu ʻokana, hoʻokahi hāmama a ʻo kekahi pani ʻia, ua like ka lōʻihi o kēlā me kēia. Inā he 340 m/s ka wikiwiki o ke kani i ka lewa, a laila ʻo ka lakio o nā alapine leo ʻoi aku o nā paipu ʻokana hāmama ʻelua i nā alapine leo ʻoi aku o nā paipu ʻokana pani ʻelua…

Pahana

Ua ʻike ʻia:

Ua like ka lōʻihi o kahi paipu ʻokana hāmama a pani ʻia.

Ka wikiwiki o ke kani i ka lewa (v) = 340 m/s

Ua nīnau ʻia:

Pane: Hoʻohālikelike ʻia ke alapine (frequency) f o ka lua o ka overtone (f 3 ) o kahi paipu ʻokana hāmama a pani ʻia

Paipu ʻokana hāmama

ʻO ka paipu ʻokana hāmama a i ʻole ka paipu hāmama he paipu ia i hāmama nā wēlau ʻelua e like me ke kiʻi ma ka ʻaoʻao.

Laʻana o nā Nalu Mekanika 2ʻO ke kiʻi ma ka ʻākau he pakuhi o nā nalu kani i loko o kahi paipu ʻokana hāmama, kahi e hōʻike ai nā node i ka nui o ka ea a hōʻike nā antinode i ka haunaele o ka ea.

Ke kani kumu (f 1 ) = v / 2L = 340/2L = 170/L

Leo ʻelua (f 3 ) = 3 f 1 = 3 (170/L) = 510/L

Paipu ʻokana pani ʻia

ʻO ka paipu ʻokana pani ʻia, a i ʻole ka paipu pani ʻia, he paipu ia me kekahi wēlau e hāmama ana a ʻo kekahi e pani ʻia ana, e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. Inā pani ʻia nā wēlau ʻelua o ka paipu, ʻaʻole hiki ke hoʻohana ʻia ka paipu.

Laʻana o nā Nalu Mekanika 3ʻO ke kiʻi ma ka ʻākau he pakuhi o nā nalu kani i loko o kahi paipu ʻokana pani ʻia, kahi e hōʻike ai nā node i ka nui o ka ea a hōʻike nā antinode i ka haunaele o ka ea.

Ke kani kumu (f 1 ) = v / 4L = 340/4L = 85/L

Leo ʻelua (f 3 ) = 3 f 1 = 3 (85/L) = 255/L

Hoʻohālikelike ʻana o ke alapine leo ʻelua f (f 3 ) o nā paipu ʻokana hāmama a pani ʻia

510/L : 255/L

510: 255

2: 1

3. Pae ikaika o ka nalu kani

ʻO kahi kumu nalu kani me ka mana o 12,56 W e hoʻopuka ana i nā nalu i loko o ka medium a puni me ke ʻano like. ʻO ka ikaika paepae o ke kani he 10 -12 Wm -2 . ʻO ka nui o ka ikaika radiation o ka nalu ma kahi mamao o 10 mika mai ke kumu he...

Pahana

Ua ʻike ʻia:

Mana = 12,56 Watts

Ka ikaika o ke kani (I o ) = 10 -12 Wm -2

Ka mamao (r) = 10 mika

Nīnau ʻia: Pae ikaika (TI)

Pane:

ʻO ke ʻano hana no ka pilina ma waena o ka mana (P), ka ikaika (I) a me ka mamao (r):

Laʻana o nā Nalu Mekanika 4

Pae ikaika (TI):

Laʻana o nā Nalu Mekanika 5

4. Ka ikaika o ke kani

Hoʻopuka kahi ʻōnaehana leo hoʻolele leo i 36 π watts o ka mana acoustic a me ka pae ikaika o 80 dB ke lohe ʻia ma kahi mamao x mai ka leo hoʻolele leo. (I o = 10 -12 watt.m -2 ). ʻO ka waiwai pololei o x ʻo…

A. 100 m

B. 160 m

C. 175 m

D. 225 m

E. 300 m

Pahana

Ua ʻike ʻia:

Mana (P) = 36 π Watt

Pae ikaika (TI) = 80 dB

Ka mamao = x

Ka palena lohe kanaka (I o ) = 10 -12 W att.m -2

Nīnau ʻia: Ka waiwai o x

Pane:

ʻO ke ʻano hana no ka pilina ma waena o ka mana (P), ka ikaika (I) a me ka mamao (x):

Laʻana o nā Nalu Mekanika 6

E helu mua i ka ikaika o ke kani ma ka mamao x:

Ka ikaika o ke kani:

Laʻana o nā Nalu Mekanika 6

E helu i ka waiwai o x:

Laʻana o nā Nalu Mekanika 7

ʻO ka pane pololei ʻo E.

5. Nalu Huakaʻi

Nīnau Hoʻokolohua Lahui SMA/MA Physics 2015/2016 Helu 24

ʻO ka hoʻohālikelike nalu huakaʻi i hōʻike ʻia ma ka International System of Units (SI) ʻo y = 0,2 sin (0,2 πx-20πt)

Mai nā ʻōlelo aʻe:

(1) Ka wikiwiki o ka laha ʻana o ka nalu 100 ms -1

(2) Ma x = 0 a me t = 0 ka ʻokoʻa nalu = 0

(3) Alapine (frequency) o ka nalu 20 Hz

(4) Ka nui o ka nalu 2 kenimika

ʻO wai ka mea pololei?

A. (1) a me (2)

B. (1) a me (3)

C. (1) a me (4)

D. (2) a me (4)

E. (2) a me (3)

Pahana

ʻEkolu ʻano o nā hoʻohālikelike nalu:

y = He sin (ωt – kx) ——> 1

ω = 2π / T a me k = 2π / λ

y = He hewa (2π/T) t – (2π/λ) x

y = A sin 2π (t/T – x/λ) ——-> 2

y = He hewa 2π (ft – x/λ) ——-> 2

ʻO T = 1/f a me λ = v / f

y = A sin 2π (ft – f(x/v))

y = A sin 2πf (t – x/v) ——-> 3

ʻO ke kaulike nalu huakaʻi ma ka nīnau ma luna ua like ia me ke ʻano 2:

y = 0,2 sin (0,2 πx-20πt)

y = 0,2 sin π (0,2 x-20t)

y = 0,2 sin 2 π (0,1 x-10t)

y = 0,2 sin 2 π (x/10 -10t)

y = A sin 2π (ft – x/λ)

A = amplitude = 0,2 mika = 0,2 (100 kenimika) = 20 kenimika

f = alapine (frequency) = 10 s -1 = 10 Hertz

λ = ka nalu = 10 mika

v = ka wikiwiki o ka laha ʻana o ka nalu = f λ = (10 s -1 )(10 m) = 100 ms -1

ʻO A ka pane pololei.

6. Ka hopena Doppler

Ke neʻe nei kahi kaʻa kaʻa ma ka wikiwiki o 72 km/ h me ke kani ʻana i kāna siren me ka alapine (frequency) o 1500 Hz. Ke neʻe nei kahi mea holo mokokaikala ma ka wikiwiki o 20 m/ s ma ke ʻaoʻao ʻē aʻe o ka kaʻa kaʻa. Inā he 340 m/ s ka wikiwiki o ke kani i ka lewa , a laila ʻo ka lakio o nā alapine (frequency) i lohe ʻia e ka mea holo mokokaikala i ka wā e hoʻokokoke mai ai a e neʻe aku ana mai ka kaʻa kaʻa mai…

A. 25 : 36

B. 36 : 49

K. 64 : 81

D. 81 : 64

E. 100 : 61

Pahana

Nā lula hōʻailona:

maikaʻi mau ʻo v

He maikaʻi ʻo v p inā hoʻokokoke ka mea hoʻolohe i ke kumu kani

He maikaʻi ʻole ʻo v p inā neʻe aku ka mea hoʻolohe mai ke kumu leo ​​aku

He maikaʻi ʻo v s inā e kū pono ana ke kumu leo ​​mai ka mea hoʻolohe aku

He maikaʻi ʻole ʻo v s inā e hoʻokokoke ana ke kumu leo ​​i ka mea hoʻolohe

v p = 0 inā noho mālie ka mea hoʻolohe

v s = 0 inā ʻaʻohe leo o ke kumu leo

Ua ʻike ʻia:

Alapine (frequency) o ke kumu leo ​​(f) = 1500 Hz

Ka wikiwiki o ka mea hoʻolohe (v p ) = 20 m/s

Ka wikiwiki o ke kumu kani (vs ) = 72 km/hola = 72 (1000 mika) / 3600 kekona = 72.000/3600 mika/kekona = 20 m/s

Ka wikiwiki o ke kani (v) = 340 m/s

Nīnau: Hoʻohālikelike o nā alapine (frequency) i lohe ʻia e nā mea holo mokokaikala i ka wā e hoʻokokoke aku ai a e neʻe aku ana mai kahi ambulance

Pane:

ʻO ke ʻano hana Doppler:

Laʻana o nā Nalu Mekanika 8

ʻO ke alapine (frequency) i lohe ʻia e ka mea holo mokokaikala i ka wā e hoʻokokoke aku ai i kahi ambulance

Aia nā ʻaoʻao ʻelua ma nā ʻaoʻao ʻē aʻe i hiki ai i ka wā e hoʻokokoke aku ai ka mokokaikala i ka ambulance, ke hoʻokokoke aku nei lāua kekahi i kekahi. He maikaʻi ʻo v p inā e hoʻokokoke aku ana ka mea hoʻolohe i ke kumu kani a he maikaʻi ʻole ʻo v s inā e hoʻokokoke aku ana ke kumu kani i ka mea hoʻolohe.

Laʻana o nā Nalu Mekanika 9

ʻO ke alapine (frequency) i lohe ʻia e nā mea holo mokokaikala i ka wā e neʻe aku ai mai kahi ambulance

Aia nā ʻaoʻao ʻelua ma nā ʻaoʻao ʻē aʻe i hiki ai i ka wā e neʻe aku ai ka mokokaikala mai ke kaʻa kaʻa, neʻe aku lāua kekahi i kekahi. He maikaʻi ʻole ʻo v p inā neʻe aku ka mea hoʻolohe mai ke kumu kani a he maikaʻi ʻo v s inā neʻe aku ke kumu kani mai ka mea hoʻolohe.

Laʻana o nā Nalu Mekanika 10

Hoʻohālikelike ʻia o nā alapine (frequency) i lohe ʻia e ka poʻe holo mokokaikala i ka wā e hoʻokokoke aku ai a me ka neʻe ʻana aku mai kahi kaʻa kaʻa.

Laʻana o nā Nalu Mekanika 11

ʻO D ka pane pololei.

Ka ikaika o ke kani

7. E nānā i ke kiʻi ma lalo nei!

Inā he kumu leo ​​ka kiko P e hoʻolaha ana i nā ʻaoʻao a pau, a laila ʻo ka lakio o ka ikaika o ke kani ma nā kiko S, R, a me Q he...

A. 16 : 25 : 100Laʻana o nā Nalu Mekanika 12

B. 16 : 50 : 200

C. 32 : 50 : 100

D. 36 : 25 : 100

E. 72: 25: 200

Pahana

Ua ʻike ʻia:

ʻO ka mamao o ke kiko Q mai ke kumu kani (rQ) = 3 mikaLaʻana o nā Nalu Mekanika 13

Ka mamao o ke kiko R mai ke kumu kani (r R ) = 6 mika

Ka mamao o ke kiko S mai ke kumu kani (r S ) = 5 mika

Ka ikaika o ke kani ma ke kiko Q = I Q

Ka ikaika o ke kani ma ke kiko R = I R

Ka ikaika o ke kani ma ke kiko S = I S

Nīnau: Hoʻohālikelike ʻana o ka ikaika o ke kani ma nā wahi S, R, a me Q ( I S : I R : I Q )

Pane:

Ka ikaika o ke kani ma ke kiko S:

Laʻana o nā Nalu Mekanika 15

Ka ikaika o ke kani ma ke kiko R:

Laʻana o nā Nalu Mekanika 16

Ka ikaika o ke kani ma ke kiko S:

Kūkākūkā o ka Hoʻokolohua Lahui 2016 no ke Kino Kula Kiʻekiʻe - 67

Hoʻohālikelike ʻana o ka ikaika o ke kani ma nā wahi S, R, a me Q:

Laʻana o nā Nalu Mekanika 17

ʻO D ka pane pololei.

8. Hohola like nā nalu kani mai ko lākou kumu ma nā ʻaoʻao a pau. Aia ka kiko A ma kahi mamao P mai ke kumu kani, aia ka kiko B ma kahi mamao o 2P mai ke kumu kani, a aia ka kiko C ma kahi mamao o 4P mai ke kumu kani. ʻO ka lakio o nā ikaika kani i loaʻa iā A, B, a me C he…

A. 16 : 4 : 1

B. 4 : 2 : 1

C. 4 : 1 : 16

D. 1 : 2 : 4

E. 1: 4: 16

Pahana

Ua ʻike ʻia:

Ka mamao o ke kiko A mai ke kumu kani (r A ) = P

Ka mamao o ke kiko B mai ke kumu kani (r B ) = 2P

Ka mamao o ke kiko C mai ke kumu kani (r C ) = 4P

Ka ikaika o ke kani ma ke kiko A = I A

Ka ikaika o ke kani ma ke kiko B = I B

Ka ikaika o ke kani ma ke kiko C = IC

Nīnau: Hoʻohālikelike ʻana o ka ikaika o ke kani ma nā wahi A, B, a me C ( IA : IB : IC )

Pane:

Ka ikaika o ke kani ma ke kiko A:

Laʻana o nā Nalu Mekanika 18

Ka ikaika o ke kani ma ke kiko B:

Laʻana o nā Nalu Mekanika 19

Ka ikaika o ke kani ma ke kiko C:

Laʻana o nā Nalu Mekanika 20

Hoʻohālikelike ʻana o ka ikaika o ke kani ma nā wahi A, B, a me C:

Laʻana o nā Nalu Mekanika 23

ʻO A ka pane pololei.

9. Ka hopena Doppler

Ke hōʻike nei ke kiʻi ma lalo nei i kahi kaʻa mākaʻi e alualu ana i kahi lawehala kaʻa:

Laʻana o nā Nalu Mekanika 24

ʻO kahi kaʻa mākaʻi, e kani ana i kāna siren me ka alapine (frequency) o 9.30 Hz, e alualu ana i ka mokokaikala o kahi lawehala e holo ana ma ka wikiwiki o 72 km/h -1 . Hoʻolalelale ke kaʻa mākaʻi i 108 km/h -1 e hopu i ka lawehala. Inā ʻo ka wikiwiki o ke kani i ka lewa he 340 m/s -1 , a laila ʻo ke alapine (frequency) o ke kani siren i lohe ʻia e ka lawehala ma luna o ka mokokaikala he...

A. 850 Hz

B. 900 Hz

C. 960 Hz

D. 1.020 Hz

E. 1.200 Hz

Pahana

Nā lula hōʻailona:

maikaʻi mau ʻo v

He maikaʻi ʻo v p inā hoʻokokoke ka mea hoʻolohe i ke kumu kani

He maikaʻi ʻole ʻo v p inā neʻe aku ka mea hoʻolohe mai ke kumu leo ​​aku

He maikaʻi ʻo v s inā e kū pono ana ke kumu leo ​​mai ka mea hoʻolohe aku

He maikaʻi ʻole ʻo v s inā e hoʻokokoke ana ke kumu leo ​​i ka mea hoʻolohe

v p = 0 inā noho mālie ka mea hoʻolohe

v s = 0 inā ʻaʻohe leo o ke kumu leo

Ua ʻike ʻia:

Alapine (frequency) o ke kumu leo ​​(f) = 9 30 Hz

Ka wikiwiki o ka mea hoʻolohe (v p ) = 72 km/h -1 = 72 (1000 mika) / 3600 (kekona) = 72.000/3600 mika/kekona = 20 m/s = -20 ms -1 (maikaʻi ʻole no ka mea ke neʻe aku nei ka lawehala mai nā mākaʻi)

Ka wikiwiki o ke kumu kani (vs ) = 108 km/h -1 = 108 (1000 mika) / 3600 (kekona) = 108.000/3600 mika/kekona = 30 m/s = -30 ms -1 (maikaʻi ʻole no ka mea ke hoʻokokoke aku nei nā mākaʻi i ka lawehala)

Ka wikiwiki o ke kani (v) = 340 ms -1

Makemake ʻia: Alapine (frequency) o ke kani i lohe ʻia e ka mea hoʻolohe (f')

Pane:

ʻO ke ʻano hana Doppler:

Laʻana o nā Nalu Mekanika 25

ʻO C ka pane pololei.

Pae Ikaika o ke Kani

10. I loko o kahi hale, e aʻo ana he 100 mau haumāna e hīmeni. Inā ʻo ka pae ikaika o ke kani o kekahi haumāna i ke mele ʻana he 40 dB (manaʻo like no kēlā me kēia keiki), a laila ʻo ka ikaika o ke kani i hana ʻia ma ka hale he… (I o = 10 -12 Wm -2 )

A. 10 -4 Wm -2

B. 10 -5 Wm -2

C. 10 -6 Wm -2

D. 10 -7 Wm -2

E. 10 -8 Wm -2

Pahana

Ua ʻike ʻia:

Ka pae ikaika o hoʻokahi haumāna (T I ) = 40 dB

Ka ikaika o ka paepae lohe kanaka (I o ) = 10 -12 W/ m2

Helu o nā haumāna (x) = 100

Nīnau ʻia: Ka ikaika o ke kani o 100 mau haumāna

Pane:

Ka ikaika o ke kani o 1 haumāna:

Laʻana o nā Nalu Mekanika 26

Ka ikaika o ke kani o 100 haumāna:

ʻO wau x = (x)(ʻO wau)

ʻO wau x = (100)(10 -8 ) = (10 2 )(10 -8 )

ʻO I x = 10 -6 W/ m2

ʻO C ka pane pololei.

11. ʻO ka ikaika o ke kani o 100 mau mīkini like he 10 -7 Watt.m -2 . Inā ʻo I = 10 -12 Watt.m -2 , a laila ʻo ka pae ikaika o ke kani o kahi mīkini….

A. 70 dB

B. 60 dB

C. 50 dB

D. 40 dB

E. 30 dB

Pahana

Ua ʻike ʻia:

Ka ikaika o ke kani o 100 mau mīkini (I x ) = 10 -7 Watt.m -2

Ka ikaika o ka paepae lohe kanaka (I o ) = 10 -12 W/ m2

Helu o nā mīkini (x) = 100 = 10 2

Nīnau ʻia: Ka pae ikaika o ke kani o kahi mīkini (TI)

Pane:

Ka ikaika o ke kani o 1 mīkini:

ʻO wau x = (x)(ʻO wau)

10 -7 = (10 2 )( I )

ʻO I = 10 -7 / 10 2 = (10 -7 )(10 -2 ) = 10 -9

Pae ikaika o ke kani o kahi mīkini (TI):

Laʻana o nā Nalu Mekanika 27

ʻO ka pane pololei ʻo E.

12. Penei nā ʻano laulā o nā nalu:
(1) ʻaʻole hiki ke hoʻolaha i loko o kahi hakahaka
(2) hoʻolaha pololei i nā pāpāho like ʻole
(3) ke ʻike nei i ka noʻonoʻo ʻana
(4) ke ʻike nei i ka diffraction
(5) ke ʻike nei i ke keakea

Mai nā ʻano nalu ma luna, ʻo ka mea e kūlike ana i nā ʻano o nā nalu māmā ʻo ia...

A. (1) a me (2) wale nō
B. (3) a me (4) wale nō
C. (2), (3), a me (4)
D. (3), (4), a me (5)
E. (1), (3), (4), a me (5)

Pahana

(1) ʻO nā nalu māmā he mau nalu electromagnetic ʻaʻole pono i kahi mea hoʻolaha. No ka mea ʻaʻole lākou e pono i kahi mea hoʻolaha, hiki i nā nalu electromagnetic ke hoʻolaha i loko o kahi hakahaka.
(2) Ke komo nā nalu māmā e pālahalaha ana i loko o kahi waena i kahi waena hou, ʻike pū nā nalu māmā i ka refraction. ʻO ka refraction o ke kukui ke kūlou ʻana o ke kuhikuhi o ka laha ʻana o nā nalu māmā. Hana ʻia ka refraction ma muli o ka ʻokoʻa o ka wikiwiki o nā nalu māmā i kēlā me kēia waena like ʻole.
(3) Ma waho aʻe o ka ʻike ʻana i ka refraction, ʻike pū nā nalu māmā i ka reflection. ʻO ka reflection o ke kukui e kahi aniani pālahalaha kekahi laʻana o ka hanana o ka reflection kukui. ʻO ka reflection o ke kukui e kahi aniani pālahalaha e hiki ai ke hoʻohana ʻia nā aniani pālahalaha ma ke ʻano he mau mea hana hoʻonaninani.
(4) ʻAʻole ʻike wale ʻia ka diffraction e nā nalu electromagnetic e like me nā nalu māmā, akā ʻike ʻia hoʻi e nā nalu mechanical e like me nā nalu wai a me nā nalu kani.
(5) Ma waho aʻe o ka ʻike ʻia e nā nalu electromagnetic e like me nā nalu māmā, ʻike ʻia hoʻi ka hoʻopilikia ʻana e nā nalu mechanical e like me nā nalu wai, nā nalu kaula a i ʻole nā ​​​​nalu kani.
ʻO D ka pane pololei.

13. E hoʻolohe i nā ʻano nalu ma lalo nei!
(1) ke ʻike nei i ka diffraction
(2) ke ʻike nei i ka noʻonoʻo ʻana
(3) ʻaʻole hiki ke hoʻolaha i loko o kahi hakahaka
(4) hiki ke ʻike i ka polarization
(5) neʻe pololei i ka wā e hele ana ma waena o ʻelua mau kikowaena like ʻole
Mai nā ʻano nalu ma luna, ʻo nā mea e kūlike ana i nā ʻano o nā nalu kani...

A. (1), (2) a me (3)
B. (1), (2) a me (4)
C. (1), (3) a me (4)
D. (2), (3) a me (4)
E. (3), (4) a me (5)

Pahana
(1) ʻAʻole ʻike wale ʻia ka diffraction e nā nalu electromagnetic e like me nā nalu māmā, akā ʻike ʻia hoʻi e nā nalu mechanical e like me nā nalu kani.
(2) ʻIke ʻia ka hoʻohuli ʻana a i ʻole ka lele ʻana e nā nalu electromagnetic e like me nā nalu māmā a me nā nalu mechanical e like me nā nalu kani a i ʻole nā ​​nalu wai. ʻO kahi laʻana o ka hanana o ka hoʻohuli ʻana o nā nalu kani he echo.
(3) He mau nalu mechanical nā nalu kani. He mau nalu mechanical nā nalu e pono ai kahi mea hoʻolaha i mea e hoʻolaha ai. Inā ʻaʻohe mea hoʻolaha, e like me ka vacuum, a laila ʻaʻole hiki i nā nalu kani ke hoʻolaha.

(4) ʻIke ʻia ka polarization e nā nalu transverse e like me nā nalu kaula, nā nalu ʻili wai a me nā nalu electromagnetic e like me nā nalu māmā. He mau nalu longitudinal nā nalu kani a no laila ʻaʻole hiki ke ʻike i ka polarization.
(5) Ke hoʻolaha ʻia mai kekahi waena a i kekahi waena ʻē aʻe, ʻike nā nalu kani i ka refraction a i ʻole kahi loli i ke kuhikuhi o ka hoʻolaha ʻana. Hana ʻia ka refraction ke hoʻomaka ka nalu e komo i kahi waena ʻē aʻe.
ʻO A ka pane pololei.

 

 

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