1. Ib yam khoom txav mus los hauv ib lub voj voog nrog qhov ceev ntawm lub kaum sab xis tas li ntawm 10 rad/s. Txheeb xyuas (a) Qhov ceev ntawm lub kaum sab xis tom qab 10 vib nas this (b) Qhov kev hloov chaw ntawm lub kaum sab xis tom qab 10 vib nas this.
Paub:
Qhov ceev ntawm lub kaum sab xis (ω) = 10 rad/s
Xav tau:
(a) Qhov ceev ntawm lub kaum sab xis (ω) tom qab 10 vib nas this.
(b) Lub kaum sab xis (θ) tom qab 10 vib nas this
Tshuaj:
(a) Qhov ceev ntawm lub kaum sab xis (ω) tom qab 10 vib nas this
Khoom txav mus los ib ncig zoo li qub kom qhov ceev ntawm lub kaum sab xis tsis hloov pauv, 10 rad/s.
(b) Kev hloov chaw ntawm lub kaum sab xis (θ)
Qhov ceev ntawm lub kaum sab xis tas li 10 radians/ob txhais tau tias yam khoom nyob ib ncig ntawm 10 radians ib ob. Tom qab 10 vib nas this, yam khoom nyob ib ncig ntawm 10 x 10 radians = 100 radians.
2. Ib lub khoom me me txav mus los hauv ib lub voj voog nrog qhov ceev tas li ntawm 10 m/s. Lub voj voog = 1 meter. Txheeb xyuas (a) Qhov ceev ntawm lub khoom me me tom qab 5 vib nas this (b) Qhov kev hloov chaw ntawm lub khoom me me tom qab 5 vib nas this (c) Kev nrawm ntawm lub centripetal.
Paub:
Lub vojvoog ntawm lub voj voog (r) = 1 'meter'
Qhov ceev ntawm cov khoom me me (v) = 10 m/s
Tshuaj:
(a) Qhov ceev ntawm cov khoom me me tom qab 5 vib nas this
Qhov kev txav ntawm cov khoom yog nyob rau hauv lub voj voog sib npaug zos kom qhov ceev yog tas li, 10 m / s.
(b) Qhov kev hloov pauv ntawm cov khoom me me tom qab 5 vib nas this
10 meters/ob txhais tau tias txhua 1 ob, qhov kev hloov pauv ntawm cov khoom me me = 10 meters. Tom qab 5 vib nas this, qhov kev hloov pauv ntawm cov khoom me me = 5 x 10 meters = 50 meters.
(c) Kev nrawm ntawm lub centripetal (a r )
a r = v 2 / r = 10 2 / 1 = 100 / 1 = 100 m/s 2
3. Ib lub pob uas txuas rau ib kawg ntawm txoj hlua, tig mus rau hauv ib lub voj voog uas muaj lub vojvoog ntawm 2 meters ntawm qhov ceev tas li ntawm 60 rpm. Txheeb xyuas (a) qhov loj ntawm qhov ceev ntawm lub kaum sab xis tom qab 2 vib nas this (b) qhov kev hloov pauv ntawm lub kaum sab xis tom qab 1 feeb.
Paub:
Lub vojvoog vojvoog (r) = 2 meters
Kev ceev ntawm lub kaum sab xis (ω) = 60 rpm = 60 revolutions / 1 feeb
= 60 lub voj voog / 60 vib nas this = 1 lub voj voog / vib nas this = 2π radians / vib nas this
= 2(3.14) radians / vib nas this = 6.28 radians / vib nas this
Tshuaj:
(a) Qhov ceev ntawm lub kaum sab xis (ω) tom qab 2 vib nas this
Qhov ceev ntawm lub kaum sab xis yog qhov tsis hloov pauv yog li tom qab 2 vib nas this, qhov ceev ntawm lub kaum sab xis (ω) = 6.28 radians / vib nas this
(b) Kev hloov chaw ntawm lub kaum sab xis (θ)
Qhov ceev ntawm lub kaum sab xis = 1 tig/ob txhais tau tias txhua 1 ob, lub pob muaj 1 tig. Tom qab 60 vib nas this, lub pob txav 60 tig.
Qhov ceev ntawm lub kaum sab xis = 6.28 radians/ob txhais tau tias txhua 1 ob, lub pob txav nrog lub kaum sab xis ntawm 6.28 radians. Tom qab 60 vib nas this, lub pob txav 376.8 radians.
4. Lub log tsheb kauj vab tig 120 zaug hauv 60 vib nas this. Qhov ceev ntawm lub kaum sab xis yog dab tsi?
Tshuaj:
(a) kev hloov pauv ib feeb (rpm)
120 lub voj voog / 60 vib nas this = 120 lub voj voog / 1 feeb = 120 lub voj voog / feeb = 120 rpm
(b) degrees ib ob ( o /s)
1 lub voj voog = 360 o , 120 lub voj voog = 43200 o
120 tig / 60 vib nas this = (120)(360 o ) / 60 vib nas this = 43200 o / 60 vib nas this = 720 o / vib nas this
(c) radians ib ob (rad/s)
1 kev hloov pauv = 6.28 radians
120 tig / 60 vib nas this = (120)(6.28) radians / 60 vib nas this = 753.6 radians / 60 vib nas this = 12.56 radians/ob vib nas this.
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- Kev hloov pauv cov chav ntawm lub kaum sab xis piv txwv cov teeb meem nrog cov kev daws teeb meem
- Cov teeb meem thiab kev daws teeb meem ntawm cov qauv angular displacement thiab linear displacement
- Cov teeb meem piv txwv ntawm angular velocity thiab linear velocity nrog cov kev daws teeb meem
- Cov teeb meem piv txwv ntawm kev nrawm nrawm thiab kev nrawm nrawm linear nrog cov kev daws teeb meem
- Cov teeb meem piv txwv ntawm kev txav mus los sib npaug nrog cov kev daws teeb meem
- Cov teeb meem ntawm cov qauv centripetal acceleration nrog cov kev daws teeb meem
- Cov teeb meem piv txwv ntawm kev txav mus los tsis sib xws nrog cov kev daws teeb meem
