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.
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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.
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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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