Isibonelo sombuzo mayelana nokushintsha okufanayo kokunyakaza okujikelezayo

Izibonelo ezi-7 zokunyakaza okujikelezayo okushintshayo ngokulinganayo

1. I-propeller eqale iphumule, ijikeleza ngokusheshisa okungaguquki kwe-angle okungu-2 rad/s.²Nquma ukusheshisa kwe-angular kanye nejubane le-angular le-propeller ngemuva kwemizuzwana emi-2. Ziveze ngama-radians namasekhondi.
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I-Diketahui :
Kubuziwe : ukusheshisa kwe-angular kanye nejubane le-angular ngemva kwemizuzwana emi-2
Jawab :
(A) Ukusheshisa kwe-angular ngemva kwemizuzwana emi-2
Ukusheshisa kwe-angular kuhlala njalo ngakho-ke ngemva kwemizuzwana emi-2, ukusheshisa kwe-angular kuhlala kungama-rad/s ama-2².
(B) Ijubane le-angular ngemva kwemizuzwana emi-2
Ukusheshisa kwe-Angular 2 rad/s² = Ama-radian angu-2/umzuzwana ngomzuzwana kusho ukuthi ijubane le-angular likhuphuka ngama-radian angu-2/umzuzwana njalo ngomzuzwana owodwa. Ngemva komzuzwana owodwa, ijubane le-angular liba ama-radian angu-2/umzuzwana. Ngemva kwemizuzwana emibili, ijubane le-angular liba ama-radian angu-4/umzuzwana.

2. Isondo eliqale liphumule lishesha ngokulinganayo. Ngemva kwemizuzwana eyi-10, isondo lijikeleza ngesivinini esingama-60 rpm. Thola ukusheshisa okungama-angle kwesondo!
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Jawab :
Ifomula yokunyakaza okujikelezayo okusheshisiwe ngokulinganayo (GMBB) ifana nefomula yokunyakaza okuqondile okusheshisiwe ngokulinganayo (GLBB).

Ukusheshisa kwesondo okune-angular kungu-0,628 rad/s ²

3. Ijubane le-angular lesilinda lishintsha ngokufanayo kusuka kuma-rad angu-20/s kuya kuma-rad angu-10/s ngemizuzwana emi-4. Thola ukusheshisa kwe-angular kwesilinda!
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Jawab :
Ukusheshisa kwe-angular kwesilinda kungu--2,5 rad/s². Uphawu olubi = ukusheshisa noma ukwehla kwejubane okungekuhle. Uma ekusheshiseni, ijubane le-angular liyanda, khona-ke ekusheshiseni, ijubane le-angular liyancipha.

4. Into eqala ukujikeleza ngesivinini se-angle esingu-10 rad/s ihlangabezana nokusheshisa kwe-angle okungaguquki okungu-2 rad/s.²Thola i-engeli ezungeze into ngemva kwemizuzwana emi-2!
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5. Isondo lemoto eliqala ukujikeleza ngesivinini esingama-20 rad/s liyayeka ukujikeleza ngemva kokuhamba nge-engeli engama-20 radians. Ukusheshisa okungama-20 kwesondo…
Ingxoxo
Jawab :
Lo mbuzo uxazululwa kusetshenziswa ifomula 3.

6. Imibuzo Yokuhlolwa Kazwelonke Ka-1999/2000 P4 No. 26

Induku ye-PQ engu-60 cm ubude ijikeleziswa nge-tip Q njenge-axis kanye ne-PQ njenge-radius yokujikeleza. Induku ye-PQ ijikeleza kusukela ekuphumuleni nge-angular acceleration engu-0,3 rad s ^-2 . Uma isikhundla sokuqala se-angular = 0, khona-ke ijubane eliqondile (v) le-tip P ku-t = imizuzwana eyi-10...

A. 1,8 ms ^-1

B. 3 ms ^-1

C. 5 ms ^-1

D. 30 ms ^-1

E. 180 ms ^-1

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Kuyaziwa ukuthi:

Ubude benduku PQ = irediyasi yendilinga (r) = 60 cm = 60/100 m = 0,60 amamitha

Ijubane lokuqala le-angular (ω _o ) = 0 rad/s

Ukusheshisa kwe-angular (α) = 0,3 rad s ^-2

Indawo yokuqala eyi-angular (θ _o ) = 0

Umbuzo: Ijubane eliqondile (v) lokuphela P ngesikhathi t = imizuzwana eyi-10

Impendulo:

Okokuqala bala ijubane le-angular lenduku ngesikhathi t imizuzwana eyi-10.

Ifomula Yokunyakaza Okujikelezayo Okusheshisiwe Ngokulinganayo:

ω _t = ω _o + α t = 0 rad/s + (0,3 rad s ^-2 )(10 isekhondi) = 3 rad s ^-1

Ijubane le-angular ku-t = imizuzwana eyi-10 lingama-radians angu-3/isekhondi.

Ijubane eliqondile ku-t = imizuzwana eyi-10 libalwa kusetshenziswa ifomula yobudlelwano phakathi kwejubane eliqondile (v), ijubane le-angular (ω) kanye ne-radius (r).

v = r ω = (amamitha angu-0,6)(ama-radian angu-3/isekhondi) = amamitha angu-1,8/isekhondi.

Impendulo efanele ngu-A.

7. Imibuzo Yokuhlolwa Kazwelonke Ka-2002/2003

Into ihamba ngendilinga enejubane lokuqala elingu-4 rad/s futhi ihlangabezana nokusheshisa kwe-angular okungu-0,5 rad/s ² , bese ijubane lento emzuzwini wesine...

A. 4,0 rad/s

B. 4,5 rad/s

C. 5,0 rad/s

D. 6,0 rad/s

E. 8,0 rad/s

Ingxoxo

Kuyaziwa ukuthi:

Ijubane lokuqala le-angular (ω _o ) = ama-radian angu-4/isekhondi

Ukusheshisa kwe-angular (α) = 0,5 rad/s ²

Isikhawu sesikhathi (t) = 4 imizuzwana

Umbuzo: Isivinini sento kumzuzwana wesine (ω _t )

Impendulo:

Ifomula yokushintsha okufanayo kokunyakaza okujikelezayo:

ω _t = ω _o + α t

ω _t = 4 + (0,5)(4)

ω _t = 4 + 2

ω _t = ama-radian angu-6/isekhondi

Impendulo efanele ngu-D.