Ilimin Lissafi na Makarantar Sakandare

Labarai game da abubuwan da suka faru na halitta da sauransu da suka shafi kimiyyar lissafi.

Raƙuman ruwa masu wucewa

Ma'anar raƙuman ruwa masu ratsawa
Raƙuman ruwa masu wucewa sune raƙuman ruwa waɗanda alkiblar yaduwarsu take daidai da alkiblar girgizar da suke wucewa ta cikinta.

Misalan raƙuman ruwa masu ratsawa
Misalin raƙuman da ke wucewa shine raƙuman da ke kan igiya ko waya. Idan raƙuman da ke kan igiyar suna tafiya daga hagu zuwa dama, igiyar tana motsawa sama da ƙasa, a tsaye zuwa ga alkiblar yaduwar raƙuman.

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Gudun yaɗuwar raƙuman ruwa

Ana iya ƙayyade saurin yaɗuwar raƙuman ruwa ta amfani da dabarar gabaɗaya:
Saurin yaɗuwar raƙuman ruwa 1Bayanin dabara:
v = saurin yaɗuwar raƙuman ruwa (raka'a mita ne/daƙiƙa)
T = lokacin raƙuman ruwa = lokacin da ake buƙata don raƙuman ruwa su yi tafiya a tsawon tsayi ɗaya (raka'a daƙiƙa ne)
f = mita = adadin tsawon raƙuman ruwa da suka wuce maki ɗaya a cikin daƙiƙa ɗaya (naúrar ita ce 1 / daƙiƙa = hertz)
lambda = tsawon rai (raka'a mita ne)

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Tambayoyin Misali na Vector

Misalai 25 na Matsalolin Vector

1. Ƙarfi biyu suna tsaye a kan juna, kowannensu yana da girman N3 da N4. Girman da aka samu na ƙarfin biyu shine...
Tattaunawa
An san cewa:
F1 = 3 N, F2 = 4N
Tambaya: Menene sakamakon waɗannan vectors guda biyu?
Amsa:
Akwai vector guda biyu kawai kuma vector guda biyu suna tsaye a kan juna don haka maganin yana amfani da dabarar Pythagorean.

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Gwaji kan tasirin taro akan motsi na faɗuwa kyauta

Umarnin gwaji kan tasirin taro akan motsi na faɗuwa kyauta

Manufar gwajin :
– Dalibai za su iya tantance ko nauyin wani abu yana shafar motsin faɗuwar abu kyauta.
Kayan aiki da kayan aiki :
– Agogon tsayawa
- Takarda da littafi
Matakan gwaji :
1. Sanya takardar a tafin hannun hagunka da kuma littafin a tafin hannun damanka.
2. A sauke takardu da littattafai a lokaci guda daga tsayi ɗaya
3. Wanne ya fara zuwa ƙasa, takarda ko littattafai? Rubuta sakamakon abin da ka lura da shi.
4. Sanya takardar a saman littafin sannan ka sauke littafin da takarda. Wanne ya fara faɗowa ƙasa, takarda ko littattafai? Rubuta sakamakon abin da ka lura da shi.

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Misalin tambayoyin canza na'ura

Tambaya ta 1: Canza Mita zuwa Kilomita
A mayar da mita 5000 zuwa kilomita.

Tattaunawa:
\(5000 \, \rubutu{m} = 5 \, \rubutu{km}\)

Tambaya ta 2: Canza Kilogram zuwa Grams
Canza kilogiram 3 zuwa gram.

Tattaunawa:
\(3 \, \rubutu{kg} = 3000 \, \rubutu{g}\)

Tambaya ta 3: Canza Minti zuwa Daƙiƙa
Canza minti 15 zuwa daƙiƙa.

Tattaunawa:
\(15 \, \rubutu{minti} = 900 \, \rubutu{daƙiƙa}\)

Tambaya ta 4: Canza Awowi zuwa Minti
Canza sa'o'i 2 zuwa mintuna.

Tattaunawa:
\(2 \, \text{hours} = 120 \, \text{mintuna}\)

Tambaya ta 5: Canza Miloli zuwa Mitoci
A mayar da mil 2 zuwa mita. (mil 1 = mita 1609,34)

Tattaunawa:
\(2 \, \text{mil} = 3218,68 \, \text{m}\)

Tambaya ta 6: Canza Inci zuwa Santimita
Canza inci 12 zuwa santimita. (Inci 1 = 2,54 cm)

Tattaunawa:
\(12 \, \rubutu{inch} = 30,48 \, \rubutu{cm}\)

Tambaya ta 7: Canza Galon zuwa Lita
Canza galan 3 zuwa lita. (galan 1 = lita 3,78541)

Tattaunawa:
\(3 \, \text{gallon} = 11,35623 \, \text{lita}\)

Tambaya ta 8: Canza Miles/Hour zuwa Km/Hour
A mayar da mil 60 a kowace awa zuwa km/h. (mil 1 = 1,60934 km)

Tattaunawa:
\(60 \, \text{mil/awa} = 96,5604 \, \text{km/awa}\)

Tambaya ta 9: Canza Fahrenheit zuwa Celsius
Canza 98,6°F zuwa °C.

Tattaunawa:
\(98,6°F = 37°C\)

Tambaya ta 10: Canza Yadi zuwa Mita
A mayar da yadi 10 zuwa mita. (yadi 1 = 0,9144 m)

Tattaunawa:
\(10 \, \rubutu{yard} = 9,144 \, \rubutu{m}\)

Tambaya ta 11: Canza Fam zuwa Kilogram
Canza fam 50 zuwa kilogiram. (Fam 1 = 0,453592 kg)

Tattaunawa:
\(50 \, \rubutu{fam} = 22,6796 \, \rubutu{kg}\)

Tambaya ta 12: Canza Millililita zuwa Lita
Canza millilita 2000 zuwa lita.

Tattaunawa:
\(2000 \, \text{ml} = 2 \, \text{l}\)

Tambaya ta 13: Canza santimita zuwa Mita
Canza santimita 300 zuwa mita.

Tattaunawa:
\(300 \, \rubutu{cm} = 3 \, \rubutu{m}\)

Tambaya ta 14: Canza Mita/Seb zuwa Kilomita/Awa
Canza mita 10/daƙiƙa zuwa kilomita/awa.

Tattaunawa:
\(10 \, \text{m/s} = 36 \, \text{km/h}\)

Tambaya ta 15: Canza Miloli zuwa Kilomita
A mayar da mil 5 zuwa kilomita. (mil 1 = kilomita 1,60934)

Tattaunawa:
\(5 \, \text{mile} = 8,0467 \, \text{km}\)

Tambaya ta 16: Canza Milligram zuwa Kilogram
Canza milligram 5000 zuwa kilogiram.

Tattaunawa:
\(5000 \, \text{mg} = 0,005 \, \text{kg}\)

Tambaya ta 17: Canza Ma'aunin Decimita zuwa Mita
Canza decimita 20 zuwa mita.

Tattaunawa:
\(20 \, \text{dm} = 2 \, \text{m}\)

Tambaya ta 18: Canza Kwanaki zuwa Daƙiƙa
Canza kwana 1 zuwa daƙiƙa.

Tattaunawa:
\(1 \, \text{day} = 86400 \, \text{seconds}\)

Tambaya ta 19: Canza Makonni zuwa Kwanaki
Tambaya:

Canza makonni 2 zuwa kwanaki.

Tattaunawa:
\(2 \, \text{makonni} = 14 \, \text{kwanaki}\)

Tambaya ta 20: Canza Kulle zuwa Km/Awa
Tambaya:
Canza kulli 20 zuwa km/h. (Kulli 1 = 1,852 km/h)

Tattaunawa:
\(20 \, \text{knot} = 37,04 \, \text{km/h}\)

Tambaya ta 21: Canza Inci zuwa Mita
Canza inci 15 zuwa mita. (Inci 1 = 0,0254 m)

Tattaunawa:
\(15 \, \rubutu{inch} = 0,381 \, \rubutu{m}\)

Tambaya ta 22: Canza Microns zuwa Millimeters
Canza microns 1000 zuwa millimeters.

Tattaunawa:
\(1000 \, \mu\text{m} = 1 \, \text{mm}\)

Tambaya ta 23: Canza Kilomita/Awa zuwa Mita/Seb
Canza kilomita 72/awa zuwa mita/daƙiƙa.

Tattaunawa:
\(72 \, \text{km/h} = 20 \, \text{m/s}\)

Tambaya ta 24: Canza Pint zuwa Lita
Canza pint 3 zuwa lita. (pint 1 = lita 0,473176)

Tattaunawa:
\(3 \, \rubutu{pint} = 1,419528 \, \rubutu{l}\)

Tambaya ta 25: Mayar da Shekaru Goma zuwa Shekaru
Canza shekaru 3 zuwa shekaru.

Tattaunawa:
\(3 \, \text{shekaru} = 30 \, \text{shekaru}\)

Tambaya ta 26: Canza Millimeters zuwa Centimeters
Canza millimita 500 zuwa santimita.

Tattaunawa:
\(500 \, \rubutu{mm} = 50 \, \rubutu{cm}\)

Tambaya ta 27: Canza Miloli zuwa Yadi
A mayar da mil 1 zuwa yadi. (mil 1 = yadi 1760)

Tattaunawa:
\(1 \, \text{mile} = 1760 \, \text{yard}\)

Tambaya ta 28: Canza Decameters zuwa Kilomita
A mayar da decameter 100 zuwa kilomita.

Tattaunawa:
\(100 \, \text{dam} = 1 \, \text{km}\)

Tambaya ta 29: Canza Kadada zuwa Mita Mura
A mayar da eka 2 zuwa murabba'in mita. (Eka 1 = 4046,86 m²)

Tattaunawa:
\(2 \, \text{acre} = 8093,72 \, \text{m}^2\)

Tambaya ta 30: Canza Ƙananan Daƙiƙa zuwa Ƙananan Daƙiƙa
Canza microseconds 1000 zuwa milliseconds.

Tattaunawa:
\(1000 \, \mu\text{s} = 1 \, \text{ms}\)

Tunda wannan tattaunawar ta yi tsayi sosai, zan tsaya a nan. Idan kuna son ganin ƙarin tambayoyi da tattaunawa, da fatan za ku sanar da ni.

Misali na tambayoyin juyawa don raka'o'in asali da waɗanda aka samo

Juyawa na asali na ma'auni
Juyawa raka'o'in tsayi
Inci 1 =…. cm? = ……. mita? (1)(2,54 cm) = 2,54 cm = 2,54 / 100 = 0,0254 mita
1 cm = …. inci? 1 / 2,54 = 0,394 lu'u-lu'u
ƙafa 1 = ….. cm? (1)(30,5 cm) = 30,5 cm
1 cm = …… ƙafa? 1 / 30,5 = ƙafa 0,033
Yadi 1 = ….. cm? (1)(91,44 cm) = 91,44 cm
1 cm = …… yadi? 1 / 91,44 = Yankin 0,011
1 mil = .... km? (1) (1,61 km) = 1,61 km
1 km = ….. mil? 1 / 1,61 = 0,621 dubu
fermi 1 = ….. mita? (1)(1 x 10-15 mita) = 10-15 mita
1 angstrom ( = …. mita ? (1)(1 x 10-10 mita) = 10-10 mita
Shekarar haske 1 = ….. mita? (1)(9,46 x 10)15 mita) = 9,46 x 1015 mita

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Misalin motsi a tsaye sama

Misalai 3 na tambayoyin motsi a tsaye sama

1. Ana jefa ƙwallon a tsaye sama da saurin farko na 20 m/s. A ƙayyade matsakaicin tsayin ƙwallon. g = 10 m/s2
Tattaunawa
A cikin motsi na tsaye sama, lokacin da abu ya motsa sama, yana raguwa, kuma idan ya koma ƙasa, yana ƙaruwa. Saboda haka, motsi na tsaye sama shima misali ne na GLBB.
Tsarin GLBB :
vt = vo + a
s = vo t + ½ a2
vt2 = vo2 + 2 axles

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Misalin motsi na tsaye na ƙasa

Misalai 3 na tambayoyin motsi na tsaye zuwa ƙasa

1. Ana jefa ƙwallon a tsaye ƙasa daga ginin bene mai hawa da yawa tare da saurin farko na m10/s kuma ya isa ƙasa bayan daƙiƙa 2. Menene saurin ƙwallon lokacin da ya bugi ƙasa? g = m10/s2
Tattaunawa
An san cewa:
vo = 10m/s
t = daƙiƙa 2
g = 10 m/s2
An tambaya:

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