1. Bhora, rakasungirirwa kumagumo kwetambo yakatambanudzwa, rinotenderedzwa mudenderedzwa reradius 20 cm. Bhora iri rinotenderera 360 cm.o Sekondi yega yega. Sarudza hukuru hwe kukurumidza kwepakati!
Zvinozivikanwa:
Kumhanya kwekona (ω)= = 360o/yechipiri = 1 revolution/yechipiri = 6.28 radians/yechipiri
Nharaunda (r) = 20 cm = 0.2 M
Zvaidiwa: Kukurumidza kwepakati pepakati (ar)
Solution:
ar =v2 /r —> v = r ω
ar = (r ω)2 / r = r2 ω2 /r
ar =r ω2
as = kukurumidza kwepakati, v = kumhanya kwakatwasuka, r = dhayasi, ω = angular velocity
Kukura kwekumhanya kwepakati pepakati :
ar =r ω2 ar = (0,2 m)(6.28 rad/s)
ar = 1.256 m/s2
2. Vhiri re30 cm mu radius rinotenderera ne 180 rpm. Tsvaga kuti centripetal acceleration yepoindi iri pamucheto wevhiri iri kutenderera sei!
Zvinozivikanwa:
Nharaunda (r) = 30 cm = 0.3 m
Kumhanya kwekona (ω) = 180 revolutions / 60 seconds = 3 revolutions / second = (3)(6.28 radians) / second = 18.84 radians/second
Zvaidiwa: kukurumidza kwepakati (ar) ye r = 0.3 m
Solution:
Kukura kwekumhanya kwepakati pesimba:
ar =r ω2
ar = (0.3 m)(18.84 rad / s)
ar = 5.65 m/s2
3. Motokari yemujaho inofamba panzira yakatenderera ine radius yemamita makumi mashanu. Kana kumhanya kwemotokari kuri 72 km/awa, tarisa kukura kwekumhanya kwepakati!
Zvinozivikanwa:
Nharaunda (r) = 50 mamita
Kumhanya (v) = 72 km/awa = (72)(mamita 1000) / 3600 masekondi = 20 mamita/sekondi
Wanted : hukuru hwekumhanya kwepakati pesimba (ar)
Solution:
ar =v2 / r = 202 / 50 = 400 / 50 = 8 m/s2
4. Mota ine kumhanya kwakanyanya kwepakati pe10 m/s2, kuitira kuti mota ikwanise kutendeuka isina kutsvedza kubva munzira yakakombama. Kana mota iri kufamba ne108 km/awa, muganhu wekona isina kuvharwa ndewei?
Zvinozivikanwa:
Kukurumidza kwepakati (ar) = 10 m/s2
Kumhanya kwemotokari (v) = 108 km/h = (108)(1000) / 3600 = mamita makumi matatus/second
Zvaidiwa: radius (r)
Solution:
r =v2 / ivor
r = 302 / 10 = 900 / 10 = 90 mamitas
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