1. Chinhu chinofamba mudenderedzwa chine kumhanya kwekona kunogara kuripo kwe10 rad/s. Tsvaga (a) Kumhanya kwekona mushure memasekonzi gumi (b) Kufamba kwekona mushure memasekonzi gumi.
Zvinozivikanwa:
Kumhanya kwekona (ω) = 10 rad/s
Zvaidiwa:
(a) Kumhanya kwekona (ω) mushure memasekonzi gumi.
(b) Angle (θ) mushure memasekonzi gumi
Solution:
(a) Kumhanya kwekona (ω) mushure memasekonzi maviri
Chinhu chakafanana nekufamba kwedenderedzwa kuitira kuti kumhanya kwekona kugare kwakasimba, 10 rad/s.
(b) Kufamba kwekona (θ)
Kumhanya kwekona nguva dzose kwemaradians gumi pasekondi zvinoreva chinhu chakakomberedza maradians gumi pasekondi. Mushure memasekonzi gumi, chinhu chakakomberedza maradians gumi pasekondi imwe chete = maradians zana.
2. Chidimbu chinofamba mudenderedzwa chine kumhanya kunogara kuripo kwe10 m/s. Nharaunda yedenderedzwa = mita imwe. Tsvaga (a) Kumhanya kwechikamu mushure memasekonzi mashanu (b) Kufamba kwechikamu mushure memasekonzi mashanu (c) Kukurumidza kwepakati.
Zvinozivikanwa:
Nharaunda yedenderedzwa (r) = mita imwe
Kumhanya kwechikamu (v) = 10 m/s
Solution:
(a) Kumhanya kwechikamu mushure memasekonzi mashanu
Kufamba kwechinhu chacho kuri mukufamba kwakafanana kwedenderedzwa kuitira kuti kumhanya kurambe kuripo, 10 m/s.
(b) Kufamba kwechikamu chezvimedu mushure memasekonzi mashanu
Mamita gumi pasekondi zvinoreva sekondi imwe chete yega yega, kusuduruka kwezvikamu = mamita gumi. Mushure memasekonzi mashanu, kusuduruka kwezvikamu = 5 x 10 mamita = mamita makumi mashanu.
(c) Kukurumidza kwepakati penzira (a r )
a r = v 2 / r = 10 2 / 1 = 100 / 1 = 100 m/s 2
3. Bhora rakasungirirwa kumucheto mumwe wetambo, rinotenderedzwa mudenderedzwa rine radius yemamita maviri nekumhanya kwakafanana kwe60 rpm. Tsvaga (a) hukuru hwekumhanya kwekona mushure memasekonzi maviri (b) kutenderera kwekona mushure meminiti imwe.
Zvinozivikanwa:
Nharaunda yedenderedzwa (r) = mamita maviri
Kumhanya kwekona (ω) = 60 rpm = 60 revolutions / 1 miniti
= 60 revolutions / 60 seconds = 1 revolution / second = 2π radians / second
= 2(3.14) radians / yechipiri = 6.28 radians / yechipiri
Solution:
(a) Kumhanya kwekona (ω) mushure memasekonzi maviri
Kumhanya kwekona hakuchinji saka mushure memasekonzi maviri, kumhanya kwekona (ω) = 6.28 radians / sekondi
(b) Kufamba kwekona (θ)
Kumhanya kwekona = 1 revolution/sekondi zvinoreva kuti pasekondi imwe chete yega yega, bhora rinoita revolution imwe chete. Mushure memasekonzi makumi matanhatu, bhora rinofamba revolution makumi matanhatu.
Kumhanya kwekona = 6.28 radians/sekondi zvinoreva kuti sekondi imwe chete yega yega, bhora rinofamba nekona ye6.28 radians. Mushure memasekonzi makumi matanhatu, bhora rinofamba 376.8 radians.
4. Vhiri rebhasikoro rinotenderera ma revolution zana nemakumi maviri mumasekonzi makumi matanhatu. Chii chinonzi angler speed?
Solution:
(a) kutenderera paminiti (rpm)
Kutenderera 120 / masekondi 60 = 120 kutenderera / miniti 1 = 120 kutenderera / miniti = 120 rpm
(b) madhigirii pasekondi ( o /s)
Chimurenga chimwe = 360 o , 120 mhirizhonga = 43200 o
Kutenderera kwe120 / masekondi makumi matanhatu = (120)(360 o ) / masekondi makumi matanhatu = 43200 o / masekondi makumi matanhatu = 720 o /sekondi
(c) radians pasekondi (rad/s)
Chimurenga chimwe chete = 6.28 radians
Kutenderera 120 / masekondi 60 = (120)(6.28) radians / masekondi 60 = 753.6 radians / masekondi 60 = 12.56 radians/sekondi.
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