1. Bhora, rakasungirirwa kumagumo kwetambo yakatambanuka, rinotenderedzwa mudenderedzwa reradius 20 cm. Bhora rinotenderera 360 o sekondi yega yega. Sarudza hukuru hwekumhanya kwepakati!
Zvinozivikanwa:
Kumhanya kwekona (ω ) = 360 o /sekondi = 1 revolution/sekondi = 6.28 radians/sekondi
Nharaunda (r) = 20 cm = 0.2 m
Zvinodiwa: Kukurumidza kwepakati (a r )
Solution:
a r = v 2 / r —> v = r ω
a r = (r ω) 2 / r = r 2 ω 2 / r
a r = r ω 2
a s = kukurumidza kwepakati, v = kumhanya kwakatwasuka, r = radius, ω = kumhanya kwekona
Kukura kwekumhanya kwepakati pesimba :
a r = r ω 2 a r = (0,2 m)( 6.28 rad/s)
a r = 1.256 m/s 2
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
Zvinodiwa: kukurumidza kwepakati ( a r ) kwe r = 0.3 m
Solution:
Kukura kwekumhanya kwepakati pesimba:
a r = r ω 2
a r = (0.3 m)(18.84 rad/s)
a r = 5.65 m/s 2
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
Zvinodiwa : hukuru hwekumhanya kwepakati (a r )
Solution:
a r = v 2 / r = 20 2 / 50 = 400 / 50 = 8 m/s 2
4. Mota ine mukana wepamusoro wekumhanya pakati pemotokari we10 m/s 2 , saka mota inogona kutendeuka isina kutsvedza kubva munzira yakakombama. Kana mota iri kufamba ne108 km/h, muganhu wekona isina kuvharwa ndewei?
Zvinozivikanwa:
Kukurumidza kwepakati (a r ) = 10 m/s 2
Kumhanya kwemota (v) = 108 km/ h = (108)(1000) / 3600 = 30 metres s /se c on d
Zvinodiwa: radius (r)
Solution:
r = v 2 / a r
r = 30 2 / 10 = 900 / 10 = 90 mamita s
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- Kuchinja mayuniti emakona emuenzaniso matambudziko nemhinduro
- Matambudziko emuenzaniso wekutama kweAngular uye linear displacement uye mhinduro
- Matambudziko emuenzaniso wekumhanya kweAngular uye kumhanya kwemutsara ane mhinduro
- Matambudziko emuenzaniso wekumhanyisa kweAngular uye wekumhanyisa mutsara ane mhinduro
- Muenzaniso wematambudziko ekufamba kwakatenderera kwakafanana nemhinduro
- Matambudziko emuenzaniso wekumhanyisa kweCentripetal nemhinduro
- Matambudziko emhando dzakasiyana dzemafambiro edenderedzwa ane mhinduro dzakasiyana
