Qhov txawv ntawm Tangential Acceleration thiab Centripetal Acceleration

2024 Tus sau: Alex Aldridge | [email protected]. Kawg hloov kho: 2023-12-17 13:40

Tangential Acceleration vs Centripetal Acceleration

Acceleration yog tus nqi hloov ntawm kev tshaj tawm, thiab thaum qhia siv lub laij lej, nws yog lub sij hawm derivative ntawm qhov tshaj tawm. Tangential acceleration thiab centripetal acceleration yog cov khoom ntawm lub acceleration rau ib tug hais los yog ib tug nruj lub cev nyob rau hauv ib ncig.

Tangential Acceleration

Xav txog ib qho kev txav mus raws ib txoj hauv kev raws li qhia hauv daim duab. Nyob rau hauv qhov piv txwv, lub particle yog nyob rau hauv angular motion, thiab lub ceev ntawm cov particle yog tangential rau txoj kev.

Tus nqi hloov ntawm tangential tshaj tawm txhais tau tias yog tangential acceleration, thiab nws yog denoted los ntawm a_t.

a_t =dv_t/dt

Txawm li cas los xij, qhov no tsis suav nrog tag nrho kev nrawm ntawm cov khoom. Raws li Newton thawj txoj cai, rau ib qho kev sib txawv ntawm txoj kev rectilinear thiab tig, yuav tsum muaj lwm lub zog; Yog li peb tuaj yeem txiav txim siab tias yuav tsum muaj qhov sib xyaw ua kom nrawm ncaj qha mus rau qhov tangential acceleration tivthaiv, piv txwv li ntawm qhov taw tes O ntawm qhov piv txwv qhia. Cov khoom no ntawm acceleration yog hu ua ib txwm acceleration, thiab nws yog denoted los ntawm a_n.

a_n =v_t^2/r

Yog u_t thiab u_{n yog cov vectors nyob rau hauv cov lus qhia tangential thiab ib txwm, qhov tshwm sim acceleration tuaj yeem muab los ntawm qhov nram qab no qhia.}

a=a_tu_t + a_nu_n =(dv_t/dt) u_t + (v_t 2^/r)un

Centripetal Acceleration

Tam sim no xav txog tias lub zog ua rau qhov kev nrawm nrawm yog qhov tsis tu ncua. Nyob rau hauv cov ntaub ntawv no, lub particle nkag mus rau hauv ib ncig txoj kev nrog lub vojvoog r. Qhov no yog ib qho tshwj xeeb hauv angular motion, thiab ib txwm acceleration yog muab lub sij hawm centripetal acceleration. Lub zog tsav lub voj voog yog hu ua lub zog centripetal.

Lub centripetal acceleration kuj muab los ntawm cov lus saum toj no, tab sis angular kev sib raug zoo nyob rau hauv tshaj tawm thiab acceleration yuav siv tau los muab nws nyob rau hauv cov nqe lus ntawm lub angular tshaj tawm.

Yog li ntawd, a_c =v_t²/r=-rω ²

(Cov paib tsis zoo qhia tias qhov nrawm tau taw qhia nyob rau sab nraud ntawm lub vojvoog vector)

Nyob acceleration tuaj yeem tau txais los ntawm qhov tshwm sim ntawm ob lub ntsiab lus a_c thiab a_t.

Qhov txawv ntawm Tangential Acceleration thiab Centripetal Acceleration yog dab tsi?

• Tangential thiab centripetal acceleration yog ob yam ntawm acceleration ntawm ib tug particle/lub cev nyob rau hauv ib ncig.

• Lub tangential acceleration yog tus nqi ntawm kev hloov ntawm tangential tshaj tawm, thiab nws ib txwm tangential rau txoj kev ncig, thiab ib txwm mus rau lub vojvoog vector.

• Centripetal acceleration yog taw rau ntawm qhov chaw ntawm lub voj voog, thiab qhov kev nrawm no yog qhov tseem ceeb uas ua rau cov khoom nyob hauv txoj kev ncig.

• Rau ib tug hais nyob rau hauv ib ncig, lub acceleration vector yeej ib txwm nyob rau hauv txoj kev ncig.