Lub vojvoog ntawm curvature yog dab tsi?

Cov txheej txheem:

Lub vojvoog ntawm curvature yog dab tsi?
Lub vojvoog ntawm curvature yog dab tsi?

Video: Lub vojvoog ntawm curvature yog dab tsi?

Video: Lub vojvoog ntawm curvature yog dab tsi?
Video: Dej Ntshiab Si - Lub Siab Zoo Tsis Muaj Nuj Nqis - 2010 2024, Kaum ib hlis
Anonim

Nyob rau hauv qhov sib txawv geometry, lub vojvoog ntawm curvature, R, yog qhov sib npaug ntawm qhov nkhausRau qhov nkhaus, nws sib npaug ntawm lub vojvoog ntawm lub voj voos uas zoo tshaj plaws ntawm qhov nkhaus ntawm qhov ntawd. Rau qhov chaw, lub vojvoog ntawm curvature yog lub vojvoog ntawm lub voj voog uas zoo tshaj plaws haum rau seem ib txwm lossis kev sib txuas ntawm no.

Koj pom lub vojvoog ntawm curvature li cas?

Qhov curvature yog ntsuas hauv radians / meter lossis radians / mais lossis degrees / mais. Lub curvature yog qhov sib txuam ntawm lub vojvoog ntawm curvature ntawm qhov nkhaus ntawm ib qho chaw. Lub vojvoog ntawm curvature formula yog R=(1+(dydx)2)3/2|d2ydx2| R=(1 + (d y d x) 2) 3 / 2 | d 2 y d x 2 |.

Dab tsi yog lub vojvoog ntawm curvature hauv physics?

Lub vojvoog ntawm curvature ntawm daim iav kheej kheej yog lub vojvoog ntawm lub voj voog uas lub iav kheej kheej yog ib feem Nws kuj txhais tau tias qhov kev ncua deb ntawm qhov nruab nrab ntawm curvature ntawm daim iav thiab tus ncej ntawm daim iav ntawm lub hauv paus axis. Lub vojvoog ntawm curvature kuj yog ib qho kev ntsuas ntawm qhov nkhaus ntawm daim iav.

nkhaus nkhaus yog dab tsi?

Intuitively, qhov curvature yog tus nqi los ntawm qhov nkhaus deviates los ntawm txoj kab ncaj nraim, lossis qhov chaw deviates los ntawm kev ua dav hlau Rau nkhaus, tus qauv canonical yog qhov ntawm lub voj voog, uas muaj qhov curvature sib npaug rau qhov sib npaug ntawm nws lub vojvoog. Cov voj voog me me khoov ntau dua, thiab yog li muaj qhov curvature dua.

Tus qauv rau curvature yog dab tsi?

x=R nqi, y=R sin t, ces k=1/R, i.e., tus (tsis tu ncua) reciprocal ntawm lub vojvoog. Nyob rau hauv cov ntaub ntawv no, curvature yog zoo vim hais tias cov tangent rau lub nkhaus yog rotating nyob rau hauv ib tug counterclockwise kev taw qhia. Feem ntau cov curvature yuav txawv raws li ib tug txav raws nkhaus.

Pom zoo: