Komilov dostonjon ikromovich 611-21 guruh 4-amaliy mashg’ulot topshirig’I

KOMILOV DOSTONJON IKROMOVICH 611-21 GURUH

4-AMALIY MASHG’ULOT TOPSHIRIG’I

1. Aylanayotgan disk aylanasi nuqtalarining chiziqli tezligi v₁=3 m/s. Ukka ΔR=10 sm yakinrok joylashgan nuqtalarning chiziqli tezligi esa V₂=2 m/s. Diskning aylanish chastotasi p aniqlansin.

Berilgan: v₁=3 m/s. ΔR=10 sm V₂=2 m/s. p=?

Formulasi: , v₁ R₁ = v₂ R₂ , ΔR=R₁ –R₂ ,

Javob: W=v₁ /R , W=3/0.16=18.75 rad/s

2.Radiusi r=10 sm bo‘lgan tinch xolatdagi disk o‘zgarmas ε=0,5 rad/s² burchak tezlanish bilan aylana boshladi. Harakat boshlanganining ikkinchi sekundi oxirida disk aylanasidagi nuqtalarning tangensial a_t, tezlanishlari topilsin.

Berilgan: r=10 sm ; ε=0,5 rad/s² ; a_t,=?

Formulasi: a_t,= ε*r;

Javob: a_t,=0.5*0.1=5*10^-2 m/s² .

3. r=20sm radiusli disk φ=A+Bt+Ct³ tenglamaga binoan aylanmokda, bunda A=3 rad, V=1 rad/s, S=0,1 rad/s³.Vaqtning t=10 s mometi uchun disk aylanasidagi nuqtalarning tangensial a_t, normal a_p φ=a tezlanishlari aniqlansin.

Berilgan: r=20sm ; A=3 rad ; V=1rad/s; S=0,1 rad/s³ t=10 s a_t,=? a_p =? a=? ;

Formulasi: φ=A+Bt+Ct³ ; a_t = φ*T/(2пt); a_n =a_t *wt ; a= ε*R;

Javob: φ= 3+1*10+0.1*100=23rad; a_t =23/(2*3.14)=3.6m/s² ; a_n =3.6*1*10=36m/s² ;

4.Rildirak tekis tezlanuvchan aylana bo’ylab Δt=10 s vaqt oralig‘ida n=300 min^-1 aylanish chastotasiga erishdi. G‘ildirakning burchak tezlanishi ε va shu vaqt ichidagi aylanishlar soni N aniqlansin.

Berilgan: Δt=10 s ; n=300 min^-1 ; ε=? ; N=?;

Formulasi: ε=(w-w )/t ; N=n*t ;

Javob: ε=2*3.14*300/(60*10)=31.4rad/s² ; N=300*10/60=50ta;

5.Avtomashina g‘ildiragi tekis tezlanuvchan aylanmokda N=50ta marta tula aylanib, aylanish chastotasini n₁=4s^-1 dan n₂=6s^-1 gacha uzgartirdi. G‘ildirakning burchak tezlanishi ε aniqlansin.

Berilgan: N=50ta ; n₁=4s^-1 ; n₂=6s^-1 ε=?

Farmulasi: ε=?2*п*n² /N;

Javob: ε=2*3.14*4/50=0.5rad/s² ;

6. Disk ε=-2 rad/s² burchak tezlanish bilan aylanmokda. Aylanish chastotasi n₁=240 min^-1 dan n₂=90 min^-1 gacha uzgarganda disk necha marta N aylanadi? Buning uchun ketgan vaqt Δt topilsin.

Berilgan: Disk ε=-2 rad/s² n₁=240 min^-1 n₂=90 min^-1 t=?

Formulasi: N=2*п*n² /ε ; t=N/n;

Javob: N=2*3,14*2.5² /4=10ta; t=10/2.5=4s,

7. Aerochananing xavo vinti (parragi) n=360 min^-1 chastota bilan aylanmokda. Aerochananing ilgarilanma v harakat tezligi 54 km/soatga teng. Agar vintning radiusi 1 m ga teng bo’lsa, vint uchlaridan biri qanday i tezlik bilan harakat kiladi?

Berilgan : n=360 min^-1 v=54 km/soat; R=1m; i=?

Formulasi: i=2*п*R*n ;

Javob: i=2*3.14*1*6=37.68m/s