Question

My Not 1/3 points 1 Previous Answers OSUniPhys1 10.3 P053 The angular velocity of a flywheel with radius 2.0 m varies according to ω(t) 6.0t, pot adr) and at(t) from t-0 to 1.0 s for r-2.0 m, a (m/s a (m/s') 70 60 60 50 a(t) alt) 40 30 20 10 40 30 ntr) in t (s) t (s) 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 08 1.0 a (m/s) a (m/s) 70 atn 70 60 ate)

Answer 1

$\omega$   = 6t

Angular acceleration $\alpha$ = d $\omega$ /dt = 6

Tangential acceleration is given by a_t = r $\alpha$ = 2*6 = 12 m/sec² ...... constant

Centripetal acceleration is given by a_c = r $\omega$ ²

a_c = 2*(6t)² = 72t²

Graphs of a_c :

Graph of a_{t :}

From above graph correct answer is (a)

From fig(a) a_t >>a_c when time is near to zero and

a_c >>a_t when time goes to infinity or very big