16 mau laʻana o nā nīnau no ka nalo leo
1. Lohe ka mea nānā ma kahi heihei kaʻa i nā leo like ʻole (ka uwo ʻana o nā kaʻa) i ka wā e hoʻokokoke mai ai a hoʻi hope ai nā kaʻa. Hoʻopuka ke kaʻa heihei maʻamau i kahi leo ma 800 Hz. Inā he 340 m/s ka wikiwiki o ke kani i ka lewa,-1 a ʻo ka wikiwiki o ke kaʻa he 20 ms-1, a laila ʻo ke alapine (frequency) i lohe ʻia i ka wā e hoʻokokoke mai ai ke kaʻa he….
A. 805 Hz
B. 810 Hz
C. 815 Hz
D. 850 Hz
E. 875 Hz
Pahana
Ua ʻike ʻia:
v s = -20 m/s (maikaʻi ʻole no ka mea e neʻe ana ke kaʻa mai ka mea hoʻolohe)
v p = 0 (ua noho mālie ka mea hoʻolohe no ka mea ke nānā nei ʻo ia)
f = 800 hz
v = 340 m/s
Nīnau ʻia: He aha ke alapine (frequency) o ke kani āu e lohe nei?
Pane:
ʻO D ka pane pololei.
2. Neʻe kekahi kanaka ma ka wikiwiki o 10 m/s −1 i kahi kumu leo paʻa me ka alapine (frequency) o 680 Hz. Ma hope o ka hiki ʻana i ke kumu leo, neʻe aku ke kanaka mai ke kumu leo aku ma ka wikiwiki like. Inā he 340 m/s −1 ka wikiwiki o ke kumu leo i ka lewa , a laila ʻo ka lakio o nā alapine ʻelua i lohe ʻia i ka neʻe ʻana i ke kumu i ka neʻe ʻana aku mai ke kumu he...
A. 33/34
B. 33/35
C. 34/35
D. 35/33
E. 35/34
Pahana
Ua ʻike ʻia:
v = 340 m/s
v p = 10 m/s
vs = 0
f = 680 hz
Nīnau: He aha ka lakio o ke alapine kani ke hoʻokokoke aku ka mea hoʻolohe i ke kumu me ka neʻe ʻana o ka mea hoʻolohe mai ke kumu?
Pane:

Neʻe aku ka mea hoʻolohe mai ke kumu mai:

Hoʻohālikelike ʻana o nā alapine (frequency) i lohe ʻia:
700 : 660 = 70 : 66 = 35 : 33
ʻO D ka pane pololei.
3. Ke hoʻokokoke aku nei kahi lokomotive kaʻaahi e holo ana ma ka wikiwiki o 72 km/h i kahi keʻena kaʻaahi me ke kani ʻana i ka whiowhio me ka alapine (frequency) o 1600 Hz. Inā he 340 ms-1 ka wikiwiki o ke kani i ka lewa, a laila ʻo ke alapine (frequency) o ka whiowhio i lohe ʻia e ke kiaʻi keʻena kaʻaahi he ….
A. 3600 Hz
B. 3400 Hz
C. 1800 Hz
D. 1700Hz
E. 1400Hz
Pahana
Ua ʻike ʻia:
Ka wikiwiki o ke kumu kani (vs ) = 72 km/h = 20 m/s (e pili ana i ka mea hoʻokele leo)
Alapine (frequency) o ke kumu leo (f) = 1600 Hz
Ka wikiwiki o ke kani i ka lewa (v) = 340 m/s
Ka wikiwiki o ka mea hoʻolohe (v p ) = 0 (ʻole no ka mea ʻaʻole e neʻe ana ka mea hoʻolohe)
Nīnau ʻia: alapine (frequency) o ke kani i lohe ʻia e ke kiaʻi (f')?
Pane:


ʻO D ka pane pololei.
4. Ke neʻe nei kekahi kaʻa kinai ahi ma ka wikiwiki o 20 ms -1 ʻoiai e kani ana i kāna siren ma ke alapine (frequency) o 400 Hz (ʻo ka wikiwiki o ke kani i ka lewa he 300 ms -1 ). Inā neʻe aku ke kaʻa kinai ahi mai kahi kanaka e kū ana ma ka ʻaoʻao o ke alanui, e lohe ke kanaka i ka siren ma ke alapine o….
A. 375 Hz
B. 575 Hz
C. 600 Hz
D. 620 Hz
E. 725 Hz
Pahana
Ua ʻike ʻia:
v s = 20 m/s (maikaʻi no ka mea e neʻe ana ke kaʻa mai ka mea hoʻolohe)
v p = 0 (mea hoʻolohe leo ʻole ma ka ʻaoʻao o ke alanui)
f = 400 hz
v = 300 m/s
Nīnau ʻia: He aha ke alapine (frequency) o ke kani āu e lohe nei?
Pane:

ʻO A ka pane pololei.
5. Hoʻopuka kahi mea hoʻolele leo mai kahi hale kiaʻi hoʻolaha i kahi leo ma ke alapine (frequency) o 670 Hz. Hoʻokokoke aku kahi kaʻa i ka hale kiaʻi ma ka wikiwiki o 90 km/h. Inā ʻo ka wikiwiki o ke kani i ka lewa i kēlā manawa he 335 m/s, a laila ʻo ke alapine (frequency) o ke kani mai ka mea hoʻolele leo i lohe ʻia e ka mea hoʻokele kaʻa he…
A. 900 Hz
B. 840 Hz
C. 800 Hz
D. 750 Hz
E. 720 Hz
Pahana
Ua ʻike ʻia:
f = 670 hz
v s = 0 (hale kiaʻi i ka wā hoʻomaha)
v p = 90 km/h = 25 m/s (maikaʻi no ka mea ke hoʻokokoke aku nei ka mea hoʻolohe i ke kumu kani)
v = 335 m/s
Nīnau: He aha ke alapine (frequency) o ke kani i lohe ʻia e ka mea hoʻokele (f')?
Pane:

ʻO ka pane pololei ʻo E.
6. Aia ʻo Dini ma luna o ke kaʻaahi A i kū. Ke neʻe nei kekahi kaʻaahi (B) i A ma ka wikiwiki o 2 ms-1 ʻoiai e puhi ana i ka ʻūlili me ke alapine (frequency) o 676 Hz. Inā he 340 ms ka wikiwiki o ke kani i ka lewa-1, a laila ʻo ke alapine (frequency) o ke kani ʻana o ke kaʻaahi B a Dini i lohe ai ʻo ia….
A. 680 Hz
B. 676 Hz
C. 660 Hz
D. 656 Hz
E. 640 Hz
Pahana
Ua ʻike ʻia:
v s = -2 m/s (hoʻokokoke ke kaʻaahi maikaʻi ʻole B iā Dini a me ke kaʻaahi A
v p = 0 (Aia ʻo Dini ma luna o ke kaʻaahi i kū)
f = 676 hz
v = 340 m/s
Nīnau ʻia: He aha ke alapine (pinepine) o ke kaʻaahi B a Dini i lohe ai?
Pane:

ʻO A ka pane pololei.
7. Holo kahi mea pāʻani pôpeku ma ka wikiwiki o v p i kahi luna kānāwai kū ʻoiai e puhi ana i ka ʻūlū me ka alapine (frequency) o f s . Inā ʻo v ka wikiwiki o ka ea ma ia wahi, a laila ua hoʻohālikelike ʻia ke alapine (frequency) i lohe ʻia e ka mea pāʻani penei….

Pahana
Ua ʻike ʻia :
v s = 0 (ua noho mālie ka luna kānāwai)
v p = v p (maikaʻi no ka mea ke hoʻokokoke aku nei i ke kumu kani)
f = fs
v = v
Nīnau : He aha ke ʻano alapine (frequency) i lohe ʻia e nā mea pāʻani pôpeku?
Pane :

ʻO A ka pane pololei.
8. Ke neʻe nei ka Ambulance A ma ka wikiwiki o 0,25 v ma hope o ke kaʻa sedan B e neʻe ana ma ka wikiwiki o 0,2 v ma ke kuhikuhi like me A. I kēlā manawa, kani ka ambulance A i kāna siren ma 1.000 Hz. Inā ʻo v ka wikiwiki o ke kani, ʻo ke alapine (frequency) i lohe ʻia e ka mea hoʻokele o ke kaʻa sedan B…
A. 1.500 Hz
B. 1.250 Hz
C. 1.111 Hz
D. 1.067 Hz
E. 1.000 Hz
Pahana
Ua ʻike ʻia :
Alapine (frequency) o ke kumu leo (f) = 1.000 Hz
Ka wikiwiki o ke kumu kani (vs ) = -0,25 v (e pili ana i ka mea e lawe ana i ke kani)
Ka wikiwiki o ke kani (v) = v
Ka wikiwiki o ka mea hoʻolohe (vp ) = -0,2 v (e pili ana i ka mea e lawe ana i ke kani)
Makemake ʻia : Alapine (frequency) o ke kani i lohe ʻia e ka mea hoʻolohe (f')
Pane :
ʻO ke ʻano hana Doppler:

ʻO D ka pane pololei.
9. Neʻe aku kahi kumu leo me ke alapine (frequency) o 640 Hz i kahi mea nānā ma ka wikiwiki o 20 m/s. Inā he 340 m/s ka wikiwiki o ke kani i ka lewa a neʻe aku ka mea nānā mai ke kumu leo ma ka wikiwiki o 10 m/s, a laila ʻo ke alapine (frequency) o ke kani i lohe ʻia e ka mea nānā…
A. 600 Hz
B. 660 Hz
C. 900 Hz
D. 980 Hz
E. 1300 Hz
Pahana
Ua ʻike ʻia :
Alapine (frequency) o ke kumu leo (f) = 640 Hz
Ka wikiwiki o ke kumu kani (vs ) = -20 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻokele leo)
Ka wikiwiki o ke kani (v) = 340 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻoili leo)
Ka wikiwiki o ka mea hoʻolohe (v p ) = -10 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻokele leo)
Makemake ʻia : Alapine (frequency) o ke kani i lohe ʻia e ka mea hoʻolohe (f')
Pane :

ʻO ka pane pololei ʻo B.
10. Neʻe kahi kumu leo i ka wikiwiki o 60 m/s e waiho ana i kahi mea nānā ma hope ona e neʻe ana ma ke kuhikuhi like me ke kumu leo i ka wikiwiki o 10 m/s. Inā ʻo ka wikiwiki o ke kani i ka lewa he 340 m/s a ʻo ke alapine o ke kumu leo he 800 Hz, a laila ʻo ke alapine o ke kani i lohe ʻia e ka mea nānā…
A. 700 Hz
B. 800 Hz
C. 940 Hz
D. 960 Hz
E. 1.120 Hz
Pahana
Ua ʻike ʻia :
Alapine (frequency) o ke kumu leo (f) = 800 Hz
Ka wikiwiki o ke kumu kani (vs ) = 60 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻokele leo)
Ka wikiwiki o ke kani (v) = 340 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻoili leo)
Ka wikiwiki o ka mea hoʻolohe (v p ) = 10 m/s (e pili ana i ka ea ma ke ʻano he mea hoʻokele leo)
Makemake ʻia : Alapine (frequency) o ke kani i lohe ʻia e ka mea hoʻolohe (f')
Pane :

Ka ikaika o ke kani
11. ʻO ka ikaika o ke kani ma ke kiko P, ʻo ia hoʻi he 3 m mai ke kumu kani, he 10 -4 watt/m² . ʻO ke kiko R he 300 m mai ke kumu kani. Inā ʻo ka ikaika paepae I 0 = 10 -12 watt/m² , a laila ʻo ka lakio o nā pae ikaika ma nā kiko P a me R he…
A. 1 : 2
B. 2 : 1
K. 2 : 3
D. 2 : 4
E. 3 : 4
Pahana
Ua ʻike ʻia :
Ka ikaika o ke kani ma ke kiko P (IP ) = 10 -4 W/ m2
Ka mamao o ke kiko P mai ke kumu kani (r P ) = 3 mika
Ka mamao o ke kiko R mai ke kumu kani (r R ) = 300 mika
Ka ikaika paepae (I o ) = 10 -12 Watt/ m2
Nīnau : Hoʻohālikelike i nā pae ikaika ma nā kiko P a me R (TI P : TI R )
Pane :
ʻO ke ʻano hana no ka pilina ma waena o ka ikaika a me ka mamao :
I p r p 2 = I R r R 2
Ka ikaika o ke kani ma R :
(10 -4 )(3 2 ) = (I R )(300 2 )
(10 -4 )(9) = (I R )(90000)
9 x 10 -4 = (I R )(9 x 10 4 )
IR = 9 x 10 -4 : 9 x 10 -4
IR = 10 -8
ʻO ka ikaika o ke kani ma ke kiko R he 10 -8 W/ m2.

Hoʻohālikelike ʻana o TI ma nā kiko P a me R :
80 dB : 40 dB
2: 1
ʻO ka pane pololei ʻo B.
12. ʻO ka ikaika o ke kani ma ke kiko A, ʻo ia hoʻi he 1 mika mai ke kumu kani, he 10 -7 W/m2 . ʻO ke kiko B he 100 mika mai ke kumu kani. Inā ʻo ka ikaika paepae he 10 -12 W/m2 , ʻo ka lakio o nā pae ikaika ma A a me B he…
A. 5 : 3
B. 5 : 1
K. 4 : 5
D. 4 : 3
E. 3 : 1
Pahana
Ua ʻike ʻia :
Ka ikaika o ke kani ma ke kiko A (IA ) = 10 -7 W/ m2
Ka mamao o ke kiko A mai ke kumu kani (r A ) = 1 mika
Ka mamao o ke kiko B mai ke kumu kani (r R ) = 100 mika
Ka ikaika paepae (I o ) = 10 -12 Watt/ m2
Nīnau : Hoʻohālikelike ʻana o nā pae ikaika ma nā wahi A a me B (TI A : TI B )
Pane :
ʻO ke ʻano hana no ka pilina ma waena o ka ikaika a me ka mamao :
I A r A 2 = I B r B 2
Ka ikaika o ke kani ma ke kiko B :
(10 -7 )(1 2 ) = (I B )(100 2 )
(10 -7 )(1) = (I B )(10.000)
1 x 10 -7 = (I B )(1 x 10 4 )
IB = 10 -7 : 10 4
ʻO IB = 10 -11
ʻO ka ikaika o ke kani ma ke kiko R he 10 -11 W/ m2.

Hoʻohālikelike ʻana o IT ma nā wahi A a me B :
50 dB : 10 dB
5: 1
ʻO ka pane pololei ʻo B.
13. He 800 m a me 400 m ka mamao o nā kiko A a me B mai ke kumu kani. Inā ma kahi A ʻoe e lohe ai i kahi kani me ka ikaika o 10 -3 W/m² , a laila ʻo ka lakio o nā pae ikaika ma nā kiko A a me B ʻo ia... (log 2 = 0,3 a me Io = 10 -12 W/ m² )
A. 11 : 15
B. 15 : 11
K. 15 : 16
D. 16 : 11
E. 16 : 15
Pahana
Ua ʻike ʻia :
Ka ikaika o ke kani ma ke kiko A (IA ) = 10 -3 W/ m2
Ka mamao o ke kiko A mai ke kumu kani (r A ) = 800 mika
Ka mamao o ke kiko B mai ke kumu kani (r B ) = 400 mika
Ka ikaika paepae (I o ) = 10 -12 Watt/ m2
Log 2 = 0,3
Nīnau : Hoʻohālikelike ʻana o nā pae ikaika ma nā wahi A a me B (TI A : TI B )
Pane :
ʻO ke ʻano hana no ka pilina ma waena o ka ikaika a me ka mamao :
I A r A 2 = I B r B 2
Ka ikaika o ke kani ma ke kiko B :
(10 -3 )(800 2 ) = (I B )(400 2 )
(10 -3 )(640.000) = (I B )(160.000)
(10 -3 )(64) = (I B )(16)
(10 -3 )(4) = (I B )(1)
IB = 4 x 10 -3 : 1
ʻO IB = 4 x 10 -3
ʻO ka ikaika o ke kani ma ke kiko B he 4 x 10 -3 W/ m2.

ʻO ka lakio TI ma nā kiko P a me R:
90 dB : 96 dB
15: 16
ʻO C ka pane pololei.
14. Papa o nā pae ikaika no kēlā me kēia kumu kani.
| Puna kani | Pae Ikaika o ke Kani (TI) |
| Ke kani ʻana o nā manu | 80 dB |
| Siren kaʻa kaʻa | 100 dB |
| Hekili (uila) | 160 dB |
Hoʻopuka kahi ʻenekini kaʻa i kahi pae ikaika leo o TI = 70 dB (I o = 10 −12 Watt m −2 ). I mea e hoʻopuka ai ke kani ʻenekini i kahi pae ikaika e like me ke kani o kahi siren ambulance, ʻo ka helu o nā ʻenekini kaʻa e pono ai….
A. 20.00 mīkini
Mīkini B. 30.00
Nā mīkini C. 100.0
D. 1.000 mau mīkini
E. 3.000 mau mīkini
Pahana
Ua ʻike ʻia :
Kaʻa TI = 70 dB
Kaʻa kaʻa kaʻa TI = 100 dB
Io = 10-12 Watt/m2
Ua nīnau ʻia Ehia mau ʻenekini kaʻa e like ai ka IT o ke kaʻa me ka IT o ka ambulance?
Pane :
Ambulance TI = kaʻa TI + 10 log x
100 = 70 + 10 log x
100 – 70 = 10 log x
30 = 10 log x
30 / 10 = log x
3 = log x
Antilog 3 = x
103 =x
1000 = x
ʻO D ka pane pololei.
15. He 60 dB ka pae ikaika o kahi kumu kani (I o = 10 – 12 watts m –2 ). Ke kani like nā kumu kani like he 100 i ka manawa like, ʻo ka pae ikaika o ke kani i loaʻa mai...
A. 62 dB
B. 80 dB
C. 82 dB
D. 100 dB
E. 160 dB
Pahana
Ua ʻike ʻia :
TI = 60 dB
Io = 10-12 W / m2
x = 100
Ua nīnau ʻia : Kumu kani TI 100?
Pane :
Nā kumu leo TI 100 = mīkini TI 1 + 10 log x
TI = 60 + 10 log 100
TI = 60 + 10 log 102
TI = 60 + (2)(10)(log 10)
TI = 60 + 20
TI = 80 dB
ʻO ka pane pololei ʻo B.
Ka hopena Doppler
16. Holo ka mea pāʻani pôpeku me ka wikiwiki vp i ka luna kānāwai i noho mālie ʻoiai e puhi ana i ka ʻūlili ma ke alapine (frequency) o fs. Inā ʻo v ka wikiwiki o ka ea ma ia wahi, a laila ua hoʻohālikelike ʻia ke alapine (frequency) i lohe ʻia e ka mea hoʻokani pila penei….
Pahana
Ua ʻike ʻia :
vs = 0 (ua noho mālie ka luna kānāwai)
vp = vp (maikaʻi no ka mea kokoke ia i ke kumu kani)
f = fs
v = v
Ua nīnau ʻia : he aha ke ʻano alapine (frequency) i lohe ʻia e nā mea pāʻani pôpeku?
Pane :
ʻO A ka pane pololei.
Puna nīnau:
Nā Nīnau Hoʻokolohua Lahui no ke Kino no ke Kula Kiʻekiʻe/Kula Kiʻekiʻe ʻOihana