Mibvunzo mitatu nezve Angular velocity equation
1. Chinhu chinofamba munzira yakatenderera chine dhayamita ye 0.5 m. Chidimbu ichi chinokwanisa kufukidza kona ye 60π rad mumasekonzi gumi nemashanu. Sarudza kumhanya kwekona kwechinhu chacho.
Anozivikanwa:
Nharaunda (r) = 0.5 mamita
Angle (θ) = 60π rad
Nguva yepakati (t) = masekondi gumi nemashanu
Kudiwa: Kumhanya kwekona (ω)
Solution:
θ = ω t
60π = ω (15)
ω = 60π / 15 = 4π rad/s
2. Vhiri rebhasikoro rine radius ye30 cm rinotenderera nekumhanya kwakafanana. Vharuvhu yevhiri inogona kutenderera nekona ye120π rad kwemasekonzi gumi. Sarudza kumhanya kwekona.
Anozivikanwa:
Nharaunda (r) = 30 cm
Angle (θ) = 120π rad
Nguva yenguva (t) = masekondi gumi
Kudiwa: Kumhanya kwekona (ω)
Solution:
θ = ω t
120π = ω (10)
ω = 120π / 10 = 12π rad/s
3. Tambo yakamonerwa nevhiri rine radius R = 25 cm sezvakaratidzwa. Kana poindi iri patambo (poindi A) ine kumhanya kwe5 m/s saka kumhanya kwevhiri ndiko…
Anozivikanwa:
Nharaunda (r) = 25 cm = 0.25 mamita
Kumhanya (v) = 5 m/s
Kudiwa: Kumhanya kwekona (ω)
Solution:
Fomura yehukama huripo pakati pe angular speed, linear speed uye radius:
v = r ω
5 = (0,25) ω
ω = 5 / 0,25 = 20 rad/s
