Misalai 7 na canza motsi na zagaye daidai gwargwado
1. Motar da ke da ƙarfin juyawa da farko tana juyawa da sauri sau 2 a kowane lokaci.2. Kayyade saurin kusurwa da kuma saurin kusurwar propeller bayan daƙiƙa 2. Ka bayyana su a cikin radians da daƙiƙa.
Tattaunawa
An sani :
An tambaya : hanzarin kusurwa da saurin kusurwa bayan daƙiƙa 2
Misalai 11 na Matsalolin Motsin Zagaye Mai Daidaito
1. Ƙwayar cuta tana motsawa a cikin da'ira mai saurin kusurwa na 10 rad/s. Tantance (a) saurin kusurwar ƙwayar cuta bayan daƙiƙa 10 (b) kusurwar da ƙwayar cuta ke ƙarƙashinta bayan daƙiƙa 10.
Tattaunawa
(a) saurin kusurwa bayan daƙiƙa 10
Haɓakawa adadi ne na vector, adadi na zahiri wanda ke da girma da alkibla. Alamarsa ita ce ( haɓakawa ) . Naúrar ƙasa da ƙasa ita ce mita a kowace daƙiƙa murabba'i, an taƙaita ta a matsayin m/s 2.
Matsakaicin Hanzari
Misalin matsalar.
Mota da ta fara tsayawa a tsaye na tsawon daƙiƙa 5 sannan ta nufi gabas da gudun mita 10/s. Ka ƙayyade matsakaicin saurin gudu.
Tattaunawa
Idan ka tura littafi a kan teburi har sai ya motsa, to kana yin aiki ne a kan littafin. Idan abu ya faɗi a saman duniya saboda ƙarfin nauyi yana jan sa , ƙarfin nauyi yana aiki akan abu. Akasin haka, idan ka tura abu da dukkan ƙarfinka har sai gumi ya jike ka amma abin bai motsa ba, ba ka yi aiki a kan abu ba. A rayuwar yau da kullun, ana cewa ka yi aiki ko aiki tuƙuru wajen tura abu, amma a cewar kimiyyar lissafi, ba ka yi aiki a kan abu ba saboda abin ba ya fuskantar matsi (abun ba ya canza wuri).
Kayan Motsin Kusurwa
Abin da yake yi motsi kai tsaye yana da ƙarfin kuzari wanda za'a iya ƙididdige shi ta amfani da dabarar:
p = mv
Bayani:
p = ƙarfin motsi (naúrar ƙasa da ƙasa ita ce kilogiram mita / daƙiƙa, an taƙaita ta a matsayin kg m/s)
m = nauyi (naúrar ƙasa da ƙasa kilogiram ne, a takaice kg)
v = gudu (naúrar ƙasa da ƙasa mita / daƙiƙa, an taƙaita ta m/s)
Adadin jiki a cikin motsi na juyawa wanda yayi daidai da taro (m) a cikin motsi madaidaiciya shine lokacin inertia (I). Adadin zahiri a cikin motsi na juyawa wanda yayi daidai da saurin (v) a cikin motsi madaidaiciya shine saurin kusurwaSaboda haka, abu a cikin juyawa yana da ƙarfin motsi wanda za'a iya ƙididdige shi ta amfani da dabarar:
Lokacin Kayan Inertia
Akwai abubuwa guda biyu, ɗaya daga cikinsu yana da ƙaramin nauyi ɗayan kuma yana da babban nauyi. Wane abu ne ya fi sauƙin motsawa idan aka tura shi da irin wannan ƙarfin? Gaskiyar magana ita ce abubuwa masu ƙaramin nauyi sun fi sauƙin motsawa fiye da abubuwa masu babban nauyi. Don haka girman nauyin abu yana ƙayyade girman saurin abin idan aka yi amfani da ƙarfi. Idan a cikin motsi kai tsaye, nauyin abu yana ƙayyade ko abu yana da sauƙin motsawa ko yana da wahalar motsawa (hanzarta) to a cikin motsi na juyawa, lokacin rashin ƙarfin abu yana ƙayyade ko abu yana da sauƙin motsawa ko yana da wahalar motsawa.
Kayan Lokacin Ƙarfi (Moment of Power)
Salon Hannun Hannu
Ka yi la'akari da abin da ke juyawa, kamar ƙofa. Idan aka buɗe ko aka rufe ƙofar, tana juyawa. Hinjini da ke haɗa ƙofar da bango yana aiki a matsayin ginshiƙin juyawa.
Hoton ƙofar da aka gani daga sama. Yi la'akari da misali inda ake tura ƙofa da ƙarfi biyu, inda dukkan ƙarfin biyu suke da girma da alkibla iri ɗaya; alkiblar ƙarfin tana daidai da ƙofar.
A baya kun yi nazarin dokar Newton ta biyu wadda aka bayyana ta hanyar lissafin:
Wannan lissafi yana bayanin alaƙar da ke tsakanin ƙarfin da aka samu, wanda kuma aka sani da ƙarfin da aka samu, da kuma taro da hanzari. Ƙarfin da aka samu wanda ke aiki akan abu mai nauyi yana sa abu ya hanzarta.
A wannan karon za mu gabatar da wani nau'i na dokar Newton ta biyu, wadda ke bayanin alaƙar da ke tsakanin ƙarfin da ke haifar da shi da kuma canje-canjen da ke faruwa a cikin ƙarfin.
Sauri adadi ne na vector, yayin da gudu kuma adadi ne na scalar. Sauri yana da girma da alkibla, yayin da gudu kuma yana da girma kawai. Naúrar ƙasa da ƙasa mita ne a kowace daƙiƙa, an taƙaita ta a matsayin m/s ko ms -1 . Alamarta ita ce v ( gudu ).
Matsakaicin gudu da matsakaicin gudu
Haka kuma a yi nazarin misalan saurin tangential da kuma saurin kusurwa.
Idan wani abu ya juya a hannun agogo kuma ya kammala juyawa ɗaya (360o) a cikin daƙiƙa 1, to saurin kusurwar dukkan sassan fan ɗin shine juyawa 1/daƙiƙa = 360 o /daƙi = 6,28 radians/daƙiƙa kuma alkiblar saurin kusurwar shine a hannun agogo. Idan radius na fan ɗin shine 20 cm, gefen fan ɗin yana motsawa a cikin da'ira mai saurin (2)(3,14)(20 cm) / daƙiƙa 1 = 125,6 cm/s = 1,256 m/s. Maki 1 cm (0,01 m) daga axis yana motsawa a cikin da'ira mai saurin (2)(3,14)(1 cm) / daƙiƙa 1 = 6,28 cm/s = 0,0628 m/s. Ƙaramin r, ƙaramin saurin. A cikin motsi na zagaye , saurin yawanci ana kiransa saurin tangent. Ana kiransa tangential saboda alkiblar gudun koyaushe yana tangential ga hanyar zagaye.