Acceleration of a body with uniformly accelerated motion: txhais. Kev nrawm. Formula rau kev txiav txim siab acceleration

Cov txheej txheem:

Acceleration of a body with uniformly accelerated motion: txhais. Kev nrawm. Formula rau kev txiav txim siab acceleration
Acceleration of a body with uniformly accelerated motion: txhais. Kev nrawm. Formula rau kev txiav txim siab acceleration
Anonim

Kev txav mus los yog ib qho tseem ceeb ntawm lub ntiaj teb peb nyob. Nws paub los ntawm physics tias tag nrho lub cev thiab cov khoom uas lawv tau tsim los tas li txav mus rau hauv qhov chaw txawm tias qhov kub tsis txias. Nyob rau hauv tsab xov xwm no, peb yuav txiav txim siab lub ntsiab lus ntawm acceleration raws li ib tug tseem ceeb kinematic yam ntxwv ntawm mechanical motion nyob rau hauv physics.

peb hais li cas?

Raws li lub ntsiab txhais, acceleration yog ib tug kom muaj nuj nqis uas tso cai rau koj mus quantitatively piav txog cov txheej txheem ntawm hloov ceev nrog lub sij hawm. Ua lej, acceleration yog xam raws li nram no:

a¯=dv¯/dt.

Cov qauv no rau kev txiav txim siab nrawm piav qhia qhov hu ua tus nqi tam sim a¯. Txhawm rau xam qhov nruab nrab acceleration, koj yuav tsum coj qhov piv ntawm qhov sib txawv ntawm qhov nrawm mus rau lub sijhawm ntev dua.

Tus nqi a¯ yog vector. Yog hais tias lub nrawm yog qhia raws tus tangent mus rau qhov kev xav ntawm lub cev, ces qhov acceleration tuaj yeem ua tau.qhia nyob rau hauv ib tug kiag li random txoj kev. Nws tsis muaj dab tsi ua nrog lub trajectory ntawm txav thiab nrog vector v¯. Txawm li cas los xij, ob qho tib si npe yam ntxwv ntawm kev txav yog nyob ntawm acceleration. Qhov no yog vim, thaum kawg, nws yog acceleration vector uas txiav txim siab trajectory thiab ceev ntawm lub cev.

Rectilinear motion nrog acceleration
Rectilinear motion nrog acceleration

Yuav kom nkag siab qhov twg a¯ yog qhia, yuav tsum sau Newton txoj cai thib ob. Hauv daim ntawv paub zoo, nws zoo li qhov no:

F¯=ma¯.

Kev sib npaug hais tias ob lub vectors (F¯ thiab a¯) cuam tshuam rau ib leeg los ntawm tus lej tsis tu ncua (m). Nws yog paub los ntawm cov khoom ntawm vectors tias kev sib faib los ntawm tus lej zoo tsis hloov cov kev coj ntawm vectors. Hauv lwm lo lus, kev nrawm yog ib txwm coj mus rau qhov kev txiav txim ntawm tag nrho lub zog F¯ ntawm lub cev.

Tus nqi raws li kev txiav txim siab yog ntsuas hauv metres ib square thib ob. Piv txwv li, lub gravitational quab yuam ntawm lub ntiaj teb nyob ze nws nto imparts rau lub cev acceleration ntawm 9.81 m / s2, uas yog, qhov ceev ntawm ib tug dawb do poob lub cev nyob rau hauv airless qhov chaw nce los ntawm 9.81. m/s txhua thib ob.

Lub tswv yim ntawm kev ua kom nrawm nrawm

Tus qauv rau kev txiav txim siab acceleration hauv cov ntaub ntawv dav dav tau sau saum toj no. Txawm li cas los xij, nyob rau hauv kev xyaum nws yog feem ntau tsim nyog los daws cov teeb meem rau lub thiaj li hu ua uniformly accelerated tsab ntawv tsa suab. Nws yog to taub raws li xws li ib tug txav ntawm lub cev nyob rau hauv uas lawv tangential tivthaiv ntawm acceleration yog ib tug tas li tus nqi. Peb hais txog qhov tseem ceeb ntawm qhov tsis tu ncua ntawm tangential, thiab tsis yog qhov ib txwm muaj ntawm acceleration.

Lub sij hawm dependence ntawm acceleration
Lub sij hawm dependence ntawm acceleration

Tag nrho acceleration ntawm lub cev nyob rau hauv tus txheej txheem ntawm curvilinear motion tuaj yeem sawv cev ua ob yam. Lub tangential Cheebtsam piav qhia txog qhov kev hloov pauv ntawm qhov nrawm nrawm. Qhov ib txwm tivthaiv yog ib txwm coj mus rau perpendicular mus rau trajectory. Nws tsis hloov lub modulus ceev, tab sis nws hloov nws vector.

Hauv qab no, peb yuav hais txog cov lus nug hais txog qhov nrawm nrawm ntxiv.

Txoj kev nrawm nrawm nrawm ntawm txoj kab ncaj nraim

Vim tias lub nrawm nrawm tsis hloov thaum txav mus rau hauv txoj kab ncaj nraim ntawm lub cev, qhov kev nrawm li qub yog xoom. Qhov no txhais tau hais tias tag nrho acceleration yog tsim los ntawm cov tangential tivthaiv. Lub ntsiab txhais ntawm acceleration thaum lub sij hawm uniformly nrawm zog yog ua raws li cov qauv hauv qab no:

a=(v - v0)/t;

a=2S/t2;

a=2(S-v0t)/t2.

Peb qhov sib npaug no yog cov lus qhia yooj yim ntawm kinematics. Ntawm no v0 yog qhov ceev uas lub cev muaj ua ntej acceleration. Nws hu ua thawj. Tus nqi S yog txoj kev taug kev los ntawm lub cev raws txoj kev ncaj nraim thaum lub sijhawm t.

Txawm li cas los xij ntawm lub sijhawm t peb hloov mus rau ib qho ntawm cov kab zauv no, peb yuav ib txwm tau txais tib yam acceleration a, vim nws tsis hloov thaum lub sijhawm xav txog hom kev txav.

nrawm nrawm

Kev sib hloov nrog acceleration
Kev sib hloov nrog acceleration

Tsiv ncig lub voj voog nrog kev nrawm yog ib hom kev txav mus los hauv kev siv tshuab. Txhawm rau kom nkag siab qhov no, nws yog qhov txaus kom nco qab qhov kev sib hloov ntawm cov shafts,disks, log, bearings. Txhawm rau txiav txim siab qhov nrawm ntawm lub cev thaum lub sijhawm ua kom nrawm nrawm hauv lub voj voog, feem ntau siv tsis yog linear quantity, tab sis angular sawv daws yuav. Angular acceleration, piv txwv li, yog txhais raws li hauv qab no:

α=dω/dt.

Tus nqi ntawm α yog qhia hauv radians rau txhua ob squared. Qhov no acceleration nrog lub tangential tivthaiv ntawm qhov kom muaj nuj nqis yog muaj feem xyuam raws li nram no:

α=at/r.

Vim α yog qhov tsis tu ncua thaum lub sijhawm sib hloov nrawm nrawm, qhov tangential acceleration at nce ncaj qha nrog nce kev sib hloov vojvoog r.

Sib npaug-variable rotation
Sib npaug-variable rotation

Yog tias α=0, ces tsuas muaj tsis yog xoom ib txwm acceleration thaum tig. Txawm li cas los xij, qhov kev txav no yog hu ua kev sib hloov tsis sib xws lossis kev sib hloov tsis sib xws, tsis nrawm nrawm.

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