5 Piv txwv ntawm cov lus nug txog angular velocity thiab tangential velocity
1. Ib lub pob raug khi rau ntawm txoj hlua ntev 2 'meter' thiab tom qab ntawd tig ua ib lub voj voog kab rov tav kom txog thaum lub pob txav mus nrog lub zog ntawm 10 radians / vib nas this. Txheeb xyuas qhov loj ntawm lub zog tangential ntawm ib qho chaw uas yog (a) 0,5 meters ntawm lub axis (b) 1 'meter' ntawm lub axis (c) ntawm ntug ntawm lub log.
Kev Sib Tham
Nws yog paub :
Qhov ntev ntawm txoj hlua = lub vojvoog ntawm txoj kev vojvoog (r) = 2 meters
Qhov ceev ntawm lub kaum sab xis = 10 radians/ib pliag
Nug : tangential velocity ntawm ib qho chaw ntawm (a) r = 0,5 meters (b) r = 1 meters (c) r = 2 meters
Jawb :
Cov mis rau kev sib raug zoo ntawm tangential speed thiab angular speed:
(A) Qhov ceev tangential (v) ntawm ib qho chaw ntawm r = 0,5 meters
v = (0,5 meters)(10 rad/s) = 5 meters/sib vib nas this
(B) Qhov ceev tangential (v) ntawm ib qho chaw ntawm r = 1 meters
v = (1 meters)(10 rad/s) = 10 meters/sib vib nas this
(C) Qhov ceev tangential (v) ntawm ib qho chaw ntawm r = 2 meters
v = (2 meters)(10 rad/s) = 20 meters/sib vib nas this
2. Lub zaus tig ntawm lub kiv cua uas muaj txoj kab uas hla 20 cm yog 5000 rpm. Txheeb xyuas qhov ceev ntawm ib qho chaw uas yog (a) 5 cm ntawm lub axis (b) 10 cm ntawm lub axis lossis ntawm ntug ntawm lub kiv cua.
Kev Sib Tham
3. Ib qho chaw ntawm ntug ntawm lub log uas muaj lub vojvoog ntawm 30 cm txav mus rau hauv ib lub voj voog ntawm qhov ceev ntawm 10 meters / vib nas this. Qhov ceev ntawm lub kaum sab xis ntawm lub log yog dab tsi?
Kev Sib Tham
Nws yog paub :
Lub vojvoog (r) = 30 cm = 0,3 meters
Qhov ceev tangential (v) = 10 meters/ob
Nug : qhov ceev ntawm lub kaum sab xis?
Jawb :
4. Ib lub tsheb txav mus 10 meters txhua 1 vib nas this. Yog tias lub log ntawm lub tsheb muaj txoj kab uas hla 50 cm, ces txiav txim seb lub log ceev npaum li cas!
Kev Sib Tham
Nws yog paub :
Lub vojvoog ntawm lub log (r) = 0,25 meters
Qhov ceev ntawm ntug log (v) = 10 meters/feeb
Nug : qhov ceev ntawm lub log!
Jawb :
5. Yog tias lub log uas muaj lub vojvoog ntawm 20 cm yog 120 rpm, lub tsheb yuav mus deb npaum li cas thaum nws txav mus rau 10 vib nas this?
Kev Sib Tham
Nws yog paub :
Lub vojvoog ntawm lub log (r) = 20 cm = 0,2 meters
Qhov ceev ntawm lub log = 120 revolutions / 60 vib nas this = 2 revolutions / vib nas this = (2)(6,28) radians / vib nas this = 12,56 radians / vib nas this
Nug : qhov deb uas lub tsheb tau mus ncig hauv 10 vib nas this.
Jawb :
Qhov ceev ntawm lub log:
Qhov ceev ntawm ntug log ntawm 2,5 meters ib ob txhais tau tias ib qho ntawm ntug log txav mus 2,5 meters txhua ob. Tom qab 10 vib nas this, qhov ntawm ntug log tau txav mus 25 meters.
Yog li ntawd, qhov deb uas lub tsheb mus txog hauv 10 vib nas this yog 25 meters.
